OOIR: Observatory of International Research

Papers

(The TQCC of Fractional Calculus and Applied Analysis is 6. 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 2022-05-01 to 2026-05-01.)

Article	Citations
Sonine-Dimovski transform and spectral synthesis associated with the hyper-Bessel operator on the complex plane	50
On generalized K-functionals in $$L_p$$ for $$0<p<1$$	41
Symmetry of solutions for asymptotically symmetric nonlocal parabolic equations	40
Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise	36
Rigidity of phase transitions for the fractional elliptic Gross-Pitaevskii system	33
Considerations regarding the accuracy of fractional numerical computations	32
Differential transforms related to Caputo time-fractional derivatives and semigroups generated by fractional Schrödinger operators	31
Stochastic heat equation driven by space-only fractional Lévy noise	29
The Spatially Variant Fractional Laplacian	27
Fractional differential equations of Bagley-Torvik and Langevin type	27
Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions	26
On heat equations associated with fractional harmonic oscillators	26
Bernstein Fractional Derivatives: Censoring and Stochastic Processes	25
Blow-up for a non-linear stable non-Gaussian process in fractional time	25
Analysis of BURA and BURA-based approximations of fractional powers of sparse SPD matrices	22
Discrete fractional distributed Halanay inequality and applications in discrete fractional order neural network systems	22
Stability analysis of Hilfer fractional stochastic switched dynamical systems with non-Gaussian process and impulsive effects	21
A review of constitutive models for non-Newtonian fluids	21
Mixed slow-fast stochastic differential equations: Averaging principle result	21
Fractional differential operators, fractional Sobolev spaces and fractional variation on homogeneous Carnot groups	20
Dual Spaces of Anisotropic Variable Hardy–Lorentz Spaces and Their Applications	19
On approximate controllability of multi-term time fractional measure differential equations with nonlocal conditions	18
Representations of solutions of systems of time-fractional pseudo-differential equations	17
Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters	17
Abstract multi-term fractional difference equations	16

Multi-term fractional oscillation integro-differential equations	16
Multi-parametric Le Roy function revisited	15
A Fractional Order Derivative Newton-Raphson Method for the Computation of the Power Flow Problem Solution in Energy Systems	15
Radial symmetry and Hopf lemma for fully nonlinear parabolic equations involving the fractional Laplacian	14
Asymptotic analysis of three-parameter Mittag-Leffler function with large parameters, and application to sub-diffusion equation involving Bessel operator	14
Direct and inverse abstract Cauchy problems with fractional powers of almost sectorial operators	14
Fractal Riemann-Stieltjes Calculus	14
Decay estimates and extinction properties for some parabolic equations with fractional time derivatives	13
An inverse potential problem for fractional subdiffusion: local stability analysis and coupled complex boundary method	13
On the convergence of the Galerkin method for random fractional differential equations	13
Correction to: A nonuniform and fast two-grid L1-FEM algorithm for nonlinear multi-term time-fractional diffusion equation and its robust error analysis	13
Concentration phenomenon of solutions for fractional Choquard equations with upper critical growth	13
Two disjoint and infinite sets of solutions for a concave-convex critical fractional Laplacian equation	13
Complete synchronization of discrete-time fractional-order neural networks with leakage and distributed delays	13
Fractional Wiener chaos: Part 1	12
On the properties of the Le Roy function and of its generalized forms	12
The fractional stochastic heat equation driven by time-space white noise	12
Initial-boundary value problems for coupled systems of time-fractional diffusion equations	12
The well-posedness analysis in Besov-type spaces for multi-term time-fractional wave equations	12
A high order predictor-corrector method with non-uniform meshes for fractional differential equations	12
Radial symmetry and Liouville theorem for master equations	12
Limitations and applications in a fractional Barbalat’s Lemma	12
Infinitely many sign-changing solutions for a kind of fractional Klein-Gordon-Maxwell system	12
Stability analysis for Caputo fractional-order discrete system with first-order operator	12
A unified analysis framework for generalized fractional Moore–Gibson–Thompson equations: Well-posedness and singular limits	12
Generalized fractional derivatives generated by Dickman subordinator and related stochastic processes	12
Fractional boundary value problems and elastic sticky brownian motions	11
Fractional models for analysis of economic risks	11
Controllability of Hilfer fractional backward evolution systems	11
Riemann-Liouville derivatives of abstract functions and Sobolev spaces	11
Asymptotic behaviors for distribution dependent stochastic partial differential equations driven by fractional Brownian motion	11
A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation	11
A critical elliptic problem involving exponential and singular nonlinearities	10
Berry-Esséen bounds for the statistical estimators of an Ornstein-Uhlenbeck process driven by a general Gaussian noise	10
Weighted estimates for operators of fractional integration of variable order in generalized variable Hölder spaces	10
On the multivariate generalized counting process and its time-changed variants	10
Application of seventh-kind Chebyshev polynomials to variable-order reaction-diffusion and advection-dispersion equations	10
Boundedness of fractional integrals on special John–Nirenberg–Campanato and Hardy-type spaces via congruent cubes	10
Superlinear solutions of sublinear fractional differential equations and regular variation	10
Analysis of a fractional viscoelastic Euler-Bernoulli beam and identification of its piecewise continuous polynomial order	9
Concave-convex critical problems for the spectral fractional laplacian with mixed boundary conditions	9
Controllability and observability of linear time-varying fractional systems	9
Fractional-order problem coupled with a second-order Moreau’s sweeping process	9
Stability analysis for nonlocal initial value problems involving nonlocal Caputo derivative and loss-of-regularity nonlinearities	9
Log-concavity and log-convexity of series containing multiple Pochhammer symbols	9
Existence, comparison, and monotonicity of principal eigenvalues of fractional Sturm-Liouville problems involving Riemann-Liouville derivatives	8
Stability and stabilization of short memory fractional differential equations with delayed impulses	8
Correction: Existence, uniqueness and regularity for a semilinear stochastic subdiffusion with integrated multiplicative noise	8
Multiplicity of solutions for a fractional Kirchhoff type equation with a critical nonlocal term	8
A semilinear diffusion PDE with variable order time-fractional Caputo derivative subject to homogeneous Dirichlet boundary conditions	8

Fractional Musielak-Sobolev spaces: study of generalized double phase problem with Choquard-logarithmic nonlinearity	8
Abstract fractional linear pseudo-parabolic equations in Banach spaces: well-posedness, regularity, and asymptotic behavior	8
On the existence and uniqueness of the solution to multifractional stochastic delay differential equation	8
Some results concerning B-local variable Morrey-Lorentz spaces	8
Nonlocal Kirchhoff-type problems with singular nonlinearity: existence, uniqueness and bifurcation	8
Some nonexistence results for space–time fractional Schrödinger equations without gauge invariance	8
On the asymptotic behaviour of the Fourier transform of the Mittag-Leffler function	8
Vallée-Poussin theorem for fractional functional differential equations	8
Asymptotics and geometric flows for a class of nonlocal curvatures	8
Exact controllability for nonlinear Hilfer fractional Volterra-Fredholm integrodifferential equations $$(1< \varrho < 2)$$ with infinite delay based on the measure of noncompactness	8
A Robust fractional order PI controller for time constant variations	8
Convergence to logarithmic-type functions of solutions of fractional systems with Caputo-Hadamard and Hadamard fractional derivatives	8
Approximate solutions for fractional stochastic integro-differential equation with short memory driven by non-instantaneous impulses	8
Operational matrix based numerical scheme for the solution of time fractional diffusion equations	7
Schrödinger-Maxwell equations driven by mixed local-nonlocal operators	7
An efficient numerical method to the stochastic fractional heat equation with random coefficients and fractionally integrated multiplicative noise	7
A parallel multi-domain spectral collocation algorithm for the Caputo-Hadamard type time fractional differential equation	7
Solving 3D fractional Schrödinger systems on the basis of Phragmén–Lindelöf methods	7
Sensitivity analysis for optimal control problems governed by Hilfer fractional differential hemivariational inequalities	7
Study on the diffusion fractional m-Laplacian with singular potential term	7
Special solutions to the space fractional diffusion problem	7
Existence, nonexistence and multiplicity of bounded solutions to a nonlinear BVP associated to the fractional Laplacian	7
Fractional 3D Diffraction Optics: Resolvent Function Solution of Cauchy Problem	7
Monotonicity and uniqueness of positive solutions to elliptic fractional p-equations	7
A tempered subdiffusive Black–Scholes model	7
Numerical scheme for Erdélyi–Kober fractional diffusion equation using Galerkin–Hermite method	7
Existence and asymptotic behavior of normalized ground state solutions to fractional Schrödinger equation with singular potential and Hartree-type nonlinearity	7
The sliding method for fractional Laplacian systems	7
On a new class of segmental type periodic/anti-periodic fractional boundary value problems	7
Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation	7
A simple series representation for a class of fractal interpolation functions	7
Anisotropic variable Campanato-type spaces and their Carleson measure characterizations	7
Continuous-time MISO fractional system identification using higher-order-statistics	7
The nonlinear fractional Rayleigh-Stokes problem on an infinite interval	7
Landweber iteration method for simultaneous inversion of the source term and initial value of the Rayleigh-Stokes equation	7
Fractional coupled Halanay inequality and its applications	7
A fast fractional block-centered finite difference method for two-sided space-fractional diffusion equations on general nonuniform grids	7
On the three dimensional generalized Navier-Stokes equations with damping	6
Hopf’s lemma and radial symmetry for the Logarithmic Laplacian problem	6
Persistence and asymptotic behavior of classical solutions to a parabolic-parabolic chemotaxis model with a mixed operator and logistic source on $${\mathbb {R}}^N$$	6
A time-space fractional parabolic type problem: weak, strong and classical solutions	6
Non-stationary zipper $$\alpha $$-fractal functions and associated fractal operator	6
Pullback dynamics of 2D non-autonomous Reissner-Mindlin-Timoshenko plate systems	6
On self-adjoint Caputo-type fractional Hahn difference equations	6
Game-theoretical problems for fractional-order nonstationary systems	6
Dependence of solutions on the order of the Caputo-Hadamard derivative and illustrative examples	6
Finding extrema using the unified fractional derivative: a conjecture	6
Sticky Brownian motions on star graphs	6
The existence and averaging principle for Caputo fractional stochastic delay differential systems	6
Shock models driven by a bivariate mixture tempered space fractional Poisson process	6
Wellposedness of the recovery of multi-factor source in fractional diffusion equations by integral type observation	6
Subordination and memory dependent kinetics in diffusion and relaxation phenomena	6
Unification of popular artificial neural network activation functions	6
S-asymptotically $$\omega $$-periodic solutions for time-space fractional nonlocal reaction-diffusion equation with superlinear growth nonlinear terms	6
A second-order fitted scheme for time fractional telegraph equations involving weak singularity	6
An inverse problem of determining the fractional order in the TFDE using the measurement at one space-time point	6
Identifying source term and initial value simultaneously for the time-fractional diffusion equation with Caputo-like hyper-Bessel operator	6
A mutually exciting rough jump-diffusion for financial modelling	6
A class of positive Fox H-functions	6
On approximate controllability of semi-linear neutral integro-differential evolution systems with state-dependent nonlocal conditions	6
Existence and asymptotic behavior of square-mean S-asymptotically periodic solutions for fractional stochastic evolution equation with delay	6
Reachability of time-varying fractional dynamical systems with Riemann-Liouville fractional derivative	6
Halanay inequality involving $$\psi -$$Caputo derivative and application to a neural network system	6
Appell system associated with the infinite dimensional Fractional Pascal measure	6
A fractional version of the recursive Tau method for solving a general class of Abel-Volterra integral equations systems	6