Mathematical Methods in the Applied Sciences

Papers
(The TQCC of Mathematical Methods in the Applied Sciences is 4. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-05-01 to 2024-05-01.)
ArticleCitations
Artificial neural networking (ANN) analysis for heat and entropy generation in flow of non‐Newtonian fluid between two rotating disks256
Model‐based comparative study of magnetohydrodynamics unsteady hybrid nanofluid flow between two infinite parallel plates with particle shape effects145
Abundant exact solutions to a generalized nonlinear Schrödinger equation with local fractional derivative122
On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique112
A general fractional formulation and tracking control for immunogenic tumor dynamics112
Dispersive of propagation wave solutions to unidirectional shallow water wave Dullin–Gottwald–Holm system and modulation instability analysis104
A new eigenvalue problem solver for thermo‐mechanical vibration of Timoshenko nanobeams by an innovative nonlocal finite element method104
On the solution of a boundary value problem associated with a fractional differential equation102
Almost sectorial operators on Ψ‐Hilfer derivative fractional impulsive integro‐differential equations94
Simpson and Newton type inequalities for convex functions via newly defined quantum integrals80
Existence of solutions for some functional integrodifferential equations with nonlocal conditions75
Chaotic behaviors of the prevalence of an infectious disease in a prey and predator system using fractional derivatives74
Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness68
Vibration analysis of carbon nanotube‐reinforced composite microbeams67
Global stability analysis of a fractional SVEIR epidemic model65
Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations65
Some new Simpson's type inequalities for coordinated convex functions in quantum calculus63
Numerical investigation for the fractional nonlinear space‐time telegraph equation via the trigonometric Quintic B‐spline scheme63
Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator62
A note on approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay58
Results concerning to approximate controllability of non‐densely defined Sobolev‐type Hilfer fractional neutral delay differential system58
Analytical and numerical study of the HIV‐1 infection of CD4+ T‐cells conformable fractional mathematical model that causes acquired immunodeficiency syndrome with the effect of antiviral d54
Homotopy perturbation method for N/MEMS oscillators51
Mathematical study on bifurcation dynamics and control mechanism of tri‐neuron bidirectional associative memory neural networks including delay51
A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems50
Dynamics and bifurcations of a discrete‐time Lotka–Volterra model using nonstandard finite difference discretization method50
Numerical simulation of telegraph and Cattaneo fractional‐type models using adaptive reproducing kernel framework48
Optical soliton solutions for the generalized Kudryashov equation of propagation pulse in optical fiber with power nonlinearities by three integration algorithms45
Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis45
The analysis of a time delay fractional COVID‐19 model via Caputo type fractional derivative45
Nanofluid flow through microchannel with a triangular corrugated wall: Heat transfer enhancement against entropy generation intensification44
Numerical simulation for the mixed convective flow of non‐Newtonian fluid with activation energy and entropy generation44
Efficacy of injectable rib height on the heat transfer and entropy generation in the microchannel by affecting slip flow44
New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second‐order spatio‐temporal dispersion via double Laplace transform method43
Fractional residual series for conformable time‐fractional Sawada–Kotera–Ito, Lax, and Kaup–Kupershmidt equations of seventh order42
Novel extended mixed controller design for bifurcation control of fractional‐order Myc/E2F/miR‐17‐92 network model concerning delay42
Analysis of hydrothermal characteristics of magnetic Al2O3‐H2O nanofluid within a novel wavy enclosure during natural convection process considering internal heat gene41
Propagation of the nonlinear damped Korteweg‐de Vries equation in an unmagnetized collisional dusty plasma via analytical mathematical methods40
Higher order mixture nonlocal gradient theory of wave propagation40
Bifurcation insight for a fractional‐order stage‐structured predator–prey system incorporating mixed time delays40
A study of the fractal foam drainage model in a microgravity space39
Functionalized Multi‐Walled carbon Nano Tubes nanoparticles dispersed in water through an Magneto Hydro Dynamic nonsmooth duct equipped with sinusoidal‐wavy wall: Diminishing vortex intensity via nonl38
A comparative analysis of electromechanical model of piezoelectric actuator through Caputo–Fabrizio and Atangana–Baleanu fractional derivatives38
Well posedness and stability result for a thermoelastic laminated Timoshenko beam with distributed delay term37
An analytic study on the approximate solution of a nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law37
A study on fractional COVID‐19 disease model by using Hermite wavelets36
N‐lump and interaction solutions of localized waves to the (2 + 1)‐dimensional asymmetrical Nizhnik–Novikov–Veselov equation arise from a model for an incompressible fluid36
New approach for fractional Schrödinger‐Boussinesq equations with Mittag‐Leffler kernel36
Further investigation on bifurcation and their control of fractional‐order bidirectional associative memory neural networks involving four neurons and multiple delays35
Hybrid ferrofluid along with MWCNT for augmentation of thermal behavior of fluid during natural convection in a cavity35
Dynamics of the worm transmission in wireless sensor network in the framework of fractional derivatives35
Magnetohydrodynamic convection behaviours of nanofluids in non‐square enclosures: A comprehensive review34
Global dynamics and bifurcation analysis of a fractional‐order SEIR epidemic model with saturation incidence rate34
Analytical and semi‐analytical solutions for time‐fractional Cahn–Allen equation34
Breather wave and lump‐type solutions of new (3 + 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation in incompressible fluid34
Classes of operators in fractional calculus: A case study34
Two‐phase local/nonlocal gradient mechanics of elastic torsion34
Stability of discrete‐time fractional‐order time‐delayed neural networks in complex field33
On a fractional Caputo–Hadamard inclusion problem with sum boundary value conditions by using approximate endpoint property33
On the geometrically nonlinear vibration of a piezo‐flexomagnetic nanotube33
Optimum buffer stock during preventive maintenance in an imperfect production system32
Sharp oscillation criteria for second‐order neutral delay differential equations32
On the (N+1)‐dimensional local fractional reduced differential transform method and its applications32
Natural convection nanofluid flow with heat transfer analysis of carbon nanotubes–water nanofluid inside a vertical truncated wavy cone31
Lie symmetry analysis, optimal system, and generalized group invariant solutions of the (2 + 1)‐dimensional Date–Jimbo–Kashiwara–Miwa equation31
Solution of time‐fractional stochastic nonlinear sine‐Gordon equation via finite difference and meshfree techniques31
Effects of nonlocal thermoelasticity on nanoscale beams based on couple stress theory31
Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations30
Natural convection heat transfer of water/Ag nanofluid inside an elliptical enclosure with different attack angles30
Distance‐based topological descriptors for measuring the π‐electronic energy of benzenoid hydrocarbons with applications to carbon nanotubes30
Coupling immersed boundary and lattice Boltzmann method for modeling multi‐body interactions subjected to pulsatile flow30
Nonlinear dynamic analysis of vibratory behavior of a graphene nano/microelectromechanical system29
A fractional‐order model of coronavirus disease 2019 (COVID‐19) with governmental action and individual reaction29
Interpretation of entropy generation in Williamson fluid flow with nonlinear thermal radiation and first‐order velocity slip29
Analysis of the fractional corona virus pandemic via deterministic modeling29
Investigation of a system of nonlinear fractional order hybrid differential equations under usual boundary conditions for existence of solution29
New soliton solutions of the 2D‐chiral nonlinear Schrodinger equation using two integration schemes29
Spatially inhomogeneous bifurcating periodic solutions induced by nonlocal competition in a predator–prey system with additional food29
On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals29
Hermite‐Hadamard‐type inequalities for interval‐valued coordinated convex functions involving generalized fractional integrals28
On Laplace transforms with respect to functions and their applications to fractional differential equations28
Some novel inequalities for LR‐h‐convex interval‐valued functions by means of pseudo‐order relation27
Pattern formations of a delayed diffusive predator–prey model with predator harvesting and prey social behavior27
Solitary and periodic wave solutions of the generalized fourth‐order Boussinesq equation via He's variational methods27
Exact traveling wave solutions of Chaffee–Infante equation in (2 + 1)‐dimensions and dimensionless Zakharov equation27
An analytical study on Mittag‐Leffler–confluent hypergeometric functions with fractional integral operator27
Existence and optimal control problem for semilinear fractional order (1,2] control system26
Stability analysis for a nonlinear coupled system of fractional hybrid delay differential equations26
Randomized time‐varying knapsack problems via binary beetle antennae search algorithm: Emphasis on applications in portfolio insurance26
Generalized wavelet quasilinearization method for solving population growth model of fractional order26
Effect of Fangzhu's nanoscale surface morphology on water collection26
Nonlocal study of the vibration and stability response of small‐scale axially moving supported beams on viscoelastic‐Pasternak foundation in a hygro‐thermal environment26
Jensen‐Grüss inequality and its applications for the Zipf‐Mandelbrot law26
The simplest approach to solving the cubic nonlinear jerk oscillator with the non‐perturbative method26
Economic ordering policy for non‐instantaneous deteriorating items with price and advertisement dependent demand and permissible delay in payment under inflation25
Thermal conductivity enhancement of nanofluid by adding multiwalled carbon nanotubes: Characterization and numerical modeling patterns25
Reproducing kernel method for Fangzhu's oscillator for water collection from air25
Stability analysis of inertial neural networks: A case of almost anti‐periodic environment25
Variational principle for nonlinear oscillator arising in a fractal nano/microelectromechanical system25
Image restorations using a modified relaxed inertial technique for generalized split feasibility problems24
Vibration analysis of shear deformable carbon nanotubes‐based functionally graded conical shells resting on elastic foundations24
New various multisoliton kink‐type solutions of the (1 + 1)‐dimensional Mikhailov–Novikov–Wang equation24
Bäcklund transformation and some different types of N‐soliton solutions to the (3 + 1)‐dimensional generalized nonlinear evolution equation for the shallow‐water waves24
Approximate solutions for stochastic time‐fractional reaction–diffusion equations with multiplicative noise24
Reliability modeling and analysis of mixture of exponential distributions using artificial neural network24
A robust spectral treatment of a class of initial value problems using modified Chebyshev polynomials24
A study on Caudrey–Dodd–Gibbon–Sawada–Kotera partial differential equation24
New chaotic attractors: Application of fractal‐fractional differentiation and integration24
Nonlinear deflection of carbon nanotube reinforced multiphase magneto‐electro‐elastic plates in thermal environment considering pyrocoupling effects24
Optimal control problem of the uncertain second‐order circuit based on first hitting criteria23
The soliton solutions for the (4 + 1)‐dimensional stochastic Fokas equation23
Nonexistence of global solutions of systems of time fractional differential equations posed on the Heisenberg group23
On new abundant solutions of the complex nonlinear Fokas–Lenells equation in optical fiber23
Uncertainty principles for the quadratic‐phase Fourier transforms23
On the multiple explicit exact solutions to the double‐chain DNA dynamical system23
Blending‐type approximation by Lupaş–Durrmeyer‐type operators involving Pólya distribution23
Further analysis on dynamical properties of fractional‐order bi‐directional associative memory neural networks involving double delays23
Monotonicity results for nabla fractional h‐difference operators23
An analytical integration Legendre polynomial series approach for Lamb waves in fractional order thermoelastic multilayered plates23
Analysis of q‐fractional implicit boundary value problems having Stieltjes integral conditions23
Predictive potential of spectrum‐based topological descriptors for measuring theπ‐electronic energy of benzenoid hydrocarbons with applications to boron triangular and boronα‐nanotubes22
Interaction among a lump, periodic waves, and kink solutions to the fractional generalized CBS‐BK equation22
Quantum Ostrowski‐type integral inequalities for functions of two variables22
A critical Kirchhoff‐type problem driven by a p (·)‐fractional Laplace operator with variable s (·) ‐order22
Three types of periodic solutions of new (3 + 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation via bilinear neural network method22
Marangoni‐bioconvectional flow of Reiner–Philippoff nanofluid with melting phenomenon and nonuniform heat source/sink in the presence of a swimming microorganisms22
Elastic magnetic curves of ferromagnetic and superparamagnetic models21
On implicit fractional q‐difference equations: Analysis and stability21
Synchronization for stochastic hybrid coupled controlled systems with Lévy noise21
Some new inequalities for generalized h‐convex functions involving local fractional integral operators with Mittag‐Leffler kernel21
Influence of nanoparticle diameter and interfacial layer on magnetohydrodynamic nanofluid flow with melting heat transfer inside rotating channel21
Dynamics of exact soliton solutions in the double‐chain model of deoxyribonucleic acid21
Study on the explicit solutions of the Benney–Luke equation via the variational direct method21
Memory kernel reconstruction problems in the integro‐differential equation of rigid heat conductor21
Pattern formation in superdiffusion predator–prey‐like problems with integer‐ and noninteger‐order derivatives21
Bifurcation analysis of a diffusive predator–prey model with prey social behavior and predator harvesting21
Modeling of fractional‐order COVID‐19 epidemic model with quarantine and social distancing21
Qualitative analysis of solutions for the p‐Laplacian hyperbolic equation with logarithmic nonlinearity21
A new model for investigating the transmission of infectious diseases in a prey‐predator system using a non‐singular fractional derivative20
Role of Fourier sine transform on the dynamical model of tensioned carbon nanotubes with fractional operator20
Discrete generalized fractional operators defined using h‐discrete Mittag‐Leffler kernels and applications to AB fractional difference systems20
Improvements and generalizations of results concerning attraction‐repulsion chemotaxis models20
General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping, logarithmic nonlinearity and distributed delay terms20
Convexity, monotonicity, and positivity results for sequential fractional nabla difference operators with discrete exponential kernels20
Complex dynamics of a discrete‐time seasonally forced SIR epidemic model20
Numerical solutions for the reaction–diffusion, diffusion‐wave, and Cattaneo equations using a new operational matrix for the Caputo–Fabrizio derivative20
A 2D kernel determination problem in a visco‐elastic porous medium with a weakly horizontally inhomogeneity20
Substantial, tempered, and shifted fractional derivatives: Three faces of a tetrahedron19
Fractional traveling wave solutions of the (2 + 1)‐dimensional fractional complex Ginzburg–Landau equation via two methods19
District metered area design through multicriteria and multiobjective optimization19
On the non‐differentiable exact solutions of the (2 + 1)‐dimensional local fractional breaking soliton equation on Cantor sets19
A two‐dimensional diffusion coefficient determination problem for the time‐fractional equation19
Numerical appraisal under the influence of the time dependent Maxwell fluid flow over a stretching sheet19
Analysis of fractional COVID‐19 epidemic model under Caputo operator19
Transverse MHD flow of Al2O3‐Cu/H2O hybrid nanofluid with active radiation: A novel hybrid model19
Approximate periodic solutions to microelectromechanical system oscillator subject to magnetostatic excitation19
Performance of joined artificial neural network and genetic algorithm to study the effect of temperature and mass fraction of nanoparticles dispersed in ethanol19
New insights into a chaotic system with only a Lyapunov stable equilibrium18
On new abundant exact traveling wave solutions to the local fractional Gardner equation defined on Cantor sets18
Solutions of system of Volterra integro‐differential equations using optimal homotopy asymptotic method18
The limiting behavior of the Riemann solution to the isentropic Euler system for logarithmic equation of state with a source term18
Kemeny's constant and global mean first passage time of random walks on octagonal cell network18
Nečas–Lions lemma revisited: An Lp‐version of the generalized Korn inequality for incompatible tensor fields18
Delay differential equations for the spatially resolved simulation of epidemics with specific application to COVID‐1918
On the spaces of Cesàro absolutely p‐summable, null, and convergent sequences18
An approach based on Haar wavelet for the approximation of fractional calculus with application to initial and boundary value problems18
Nonlinear dynamics of (2 + 1)‐dimensional Bogoyavlenskii–Schieff equation arising in plasma physics18
On the wave solutions of time‐fractional Sawada‐Kotera‐Ito equation arising in shallow water18
Global asymptotic stability of neutral type fractional‐order memristor‐based neural networks with leakage term, discrete and distributed delays18
Modelling the dynamics of a nanocapillary system with a moving mass using the non‐local strain gradient theory18
Stability, existence, and uniqueness for solving fractional glioblastoma multiforme using a Caputo–Fabrizio derivative18
Codimension two Lie invariant solutions of the modified Khokhlov–Zabolotskaya–Kuznetsov equation18
Role of single slip assumption on the viscoelastic liquid subject to non‐integer differentiable operators17
Stability and bifurcation analysis of a fractional‐order model of cell‐to‐cell spread of HIV‐1 with a discrete time delay17
Complex dynamics of some models of antimicrobial resistance on complex networks17
Analysis of the L1 scheme for a time fractional parabolic–elliptic problem involving weak singularity17
Effects of green innovation and advertisement in an imperfect production‐based competitive supply chain under two‐tier credit facility17
Exponential integrators for linear inhomogeneous problems17
The discrete‐time Kolmogorov systems with historic behavior17
Direct estimation of SIR model parameters through second‐order finite differences17
A coupled system of nonlinear Caputo–Hadamard Langevin equations associated with nonperiodic boundary conditions17
Multiple lump solutions of the (2+1)‐dimensional Konopelchenko–Dubrovsky equation17
Electromagnetic field and initial stress on a photothermal semiconducting voids medium under thermoelasticity theories17
Representation of solutions for linear fractional systems with pure delay and multiple delays17
Bifurcation analysis of an age‐structured prey–predator model with infection developed in prey17
Resilient group consensus in heterogeneously robust networks with hybrid dynamics17
Analytical wave solutions of the (2+1)‐dimensional Boiti–Leon–Pempinelli and Boiti–Leon–Manna–Pempinelli equations by mathematical methods16
Mathematical modeling for peristalsis of couple stress nanofluid16
Fast implicit difference schemes for time‐space fractional diffusion equations with the integral fractional Laplacian16
Reliable methods to look for analytical and numerical solutions of a nonlinear differential equation arising in heat transfer with the conformable derivative16
On development of heat transportation through bioconvection of Maxwell nanofluid flow due to an extendable sheet with radiative heat flux and prescribed surface temperature and prescribed heat flux co16
Advance in compact structure‐preserving manner to the Rosenau–Kawahara model of shallow‐water wave16
Fractional heat conduction model with phase lags for a half‐space with thermal conductivity and temperature dependent16
On p–Laplacian boundary value problems involving Caputo–Katugampula fractional derivatives16
Enhanced magnetohydrodynamic thermal convection in a partially driven cavity packed with a nanofluid‐saturated porous medium16
Applying homotopy perturbation method to provide an analytical solution for Newtonian fluid flow on a porous flat plate16
Modeling and dual solutions for magnetized mixed convective stagnation point flow of upper convected Maxwell fluid model with second‐order velocity slip16
New results on the asymptotic behavior of an SIS epidemiological model with quarantine strategy, stochastic transmission, and Lévy disturbance16
Coupled fractional differential equations involving Caputo–Hadamard derivative with nonlocal boundary conditions16
A study on fractional HIV‐AIDs transmission model with awareness effect16
Existence and uniqueness results for initial value problem of nonlinear fractional integro‐differential equation on an unbounded domain in a weighted Banach space16
Multiple rogue wave, lump‐periodic, lump‐soliton, and interaction betweenk‐lump andk‐stripe soliton solutions for the generalized KP equation16
A fixed point approach for tuning circuit problem in dislocated b‐metric spaces16
Improving the performance of deep learning models using statistical features: The case study of COVID‐19 forecasting15
On tempered fractional calculus with respect to functions and the associated fractional differential equations15
Slant helix of order n and sequence of Darboux developables of principal‐directional curves15
Nehari manifold and bifurcation for a ψ‐Hilfer fractional p‐Laplacian15
Analysis and numerical simulation of novel coronavirus (COVID‐19) model with Mittag‐Leffler Kernel15
Natural convection flows of carbon nanotubes nanofluids with Prabhakar‐like thermal transport15
Stability analysis of systems with time‐varying delay via a delay‐product‐type integral inequality15
Numerical approach to solve Caputo‐Fabrizio‐fractional model of corona pandemic with optimal control design and analysis15
Towards new general double integral transform and its applications to differential equations15
A fractional‐order generalized Taylor wavelet method for nonlinear fractional delay and nonlinear fractional pantograph differential equations15
Lie symmetry analysis for complex soliton solutions of coupled complex short pulse equation15
On solutions of the Newell–Whitehead–Segel equation and Zeldovich equation15
Convective flow of a fractional second grade fluid containing different nanoparticles with Prabhakar fractional derivative subject to non‐uniform velocity at the boundary15
Some exact solutions of a variable coefficients fractional biological population model15
A new regular infinite matrix defined by Jordan totient function and its matrix domain in p15
A case study of Covid‐19 epidemic in India via new generalised Caputo type fractional derivatives15
A fractional‐order mathematical model for analyzing the pandemic trend of COVID‐1915
Uncertainty principles for the two‐sided offset quaternion linear canonical transform15
Stability analysis for fractional order implicit ψ‐Hilfer differential equations15
New abundant solitary wave structures for a variety of some nonlinear models of surface wave propagation with their geometric interpretations15
Numerical surfaces of fractional Zika virus model with diffusion effect of mosquito‐borne and sexually transmitted disease15
Features of inclined magnetohydrodynamics on a second‐grade fluid impinging on vertical stretching cylinder with suction and Newtonian heating14
Topology identification of multi‐weighted complex networks based on adaptive synchronization: A graph‐theoretic approach14
Fractional dynamics of huanglongbing transmission within a citrus tree14
Delayed analogue of three‐parameter Mittag‐Leffler functions and their applications to Caputo‐type fractional time delay differential equations14
Results on approximate controllability of fractional stochastic Sobolev‐type Volterra–Fredholm integro‐differential equation of order 1 < r < 214
Stability analysis of activation‐inhibition Boolean networks with stochastic function structures14
Sixth‐order, P‐stable, Numerov‐type methods for use at moderate accuracies14
Selection of optimal software reliability growth models using an integrated entropy–Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) approach14
A comparative analysis of two computational schemes for solving local fractional Laplace equations14
A numerical method for finding solution of the distributed‐order time‐fractional forced Korteweg–de Vries equation including the Caputo fractional derivative14
Decompositions and linear superpositions of B‐type Kadomtsev‐Petviashvili equations14
On Fourier–Bessel matrix transforms and applications14
Hybrid fully spectral linearized scheme for time‐fractional evolutionary equations14
Linear barycentric rational collocation method for solving telegraph equation14
On (contra)pedals and (anti)orthotomics of frontals in de Sitter 2‐space14
Localized kernel‐based meshless method for pricing financial options underlying fractal transmission system14
New traveling wave solutions for Gilson–Pickering equation in plasma via bifurcation analysis and direct method14
An efficient computational approach for fractional Bratu's equation arising in electrospinning process14
On the parabolic‐elliptic Keller–Segel system with signal‐dependent motilities: A paradigm for global boundedness and steady states14
A modified variable‐order fractional SIR model to predict the spread of COVID‐19 in India13
A note on the existence of Hilfer fractional differential inclusions with almost sectorial operators13
Double‐diffusive convection on peristaltic flow of hyperbolic tangent nanofluid in non‐uniform channel with induced magnetic field13
Boundary value problem defined by system of generalized Sturm–Liouville and Langevin Hadamard fractional differential equations13
Stability results of coupled wave models with locally memory in a past history framework via nonsmooth coefficients on the interface13
Weighted iterated radial composition operators from weighted Bergman–Orlicz spaces to weighted‐type spaces on the unit ball13
Regularity results for fractional diffusion equations involving fractional derivative with Mittag–Leffler kernel13
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