Boundary Value Problems

Article	Citations
Kohn–Vogelius formulation for plasma geometry identification problem	61
Least energy nodal solutions for a weighted $(N, p)$-Schrödinger problem involving a continuous potential under exponential growth nonlinearity	48
Blow-up phenomena for a nonlinear shallow water wave model	28
A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions	22
Walsh function-based numerical approach for nonlinear stochastic integral equations: Application to stochastic logistic models	21
Positive solutions to a coupled singular anisotropic system with nonstandard growth and singular nonlinearities	21
Entropy generation optimisation on the peristaltic mechanism of non-Newtonian Ree-Eyring fluid with variable liquid properties	18
Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator	18
Multiplicity of weak solutions in double phase Kirchhoff elliptic problems with Neumann conditions	18
Certain fixed point results for novel contractions with applications to variational inequalities, economic growth and market equilibrium via fractional differential equations	18
Fractional dynamics of wave packets: solving the Davey-Stewartson equation with computational method	18
An accurate tau-based spectral algorithm for the time fractional bioheat transfer model	17
General decay for the viscoelastic wave equation for Kirchhoff-type containing Balakrishnan-Taylor damping, nonlinear damping and logarithmic source term under acoustic boundary conditions	17
Sobolev embeddings in grand variable Herz-Morrey Besov spaces	16
On steady state of viscous compressible heat conducting full magnetohydrodynamic equations	16
Positive solutions for a semipositone anisotropic p-Laplacian problem	16
Nonresonance for problems involving $(p,q)$-Laplacian equations with nonlinear perturbations	14
Existence, uniqueness and stability analysis for a $\mathfrak{f}$-Caputo generalized proportional fractional boundary problem with distinct generalized integral conditions	14
Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques	13
Existence and uniqueness for a mixed fractional differential system with slit-strips conditions	13
Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity	13
Solvability of mixed Hilfer fractional functional boundary value problems with p-Laplacian at resonance	13
Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses	13
Unveiling the dynamics of meningitis infections: a comprehensive study of a novel fractional-order model with optimal control strategies	13
Ulam stability and solution behavior of implicit fractional Volterra-Fredholm equations via generalized Hilfer-Katugampola calculus	12

On the critical behavior for time-fractional pseudo-parabolic-type equations with combined nonlinearities	12
Pairwise and polynomial contractions in b-metric spaces with applications to boundary value problems of diffusion phenomena and integral-type contractions	12
Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential	12
Dynamics and numerical analysis of a fractional-order toxoplasmosis model incorporating human and cat populations	12
Investigation of optical soliton solutions for the fractional-order nonlinear Schrödinger equation including parabolic law of nonlinearity	11
Correction to: Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	11
On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study	11
Bifurcation mechanism and hybrid control strategy of a finance model with delays	11
Extension of Milne-type inequalities to Katugampola fractional integrals	10
Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model	10
Generalized Tikhonov regularization method for an inverse boundary value problem of the fractional elliptic equation	10
An accurate approximation technique based on Schröder operational matrices for numerical treatments of time-fractional nonlinear generalized Kawahara equation	10
New product-type oscillation criteria for first-order linear differential equations with several nonmonotone arguments	10
Blow-up criteria of the simplified Ericksen–Leslie system	10
Chaotic behavior, sensitive analysis and dynamics of invariant formulation of nonclassical symmetries to the nonlinear Tzitzéica equation arising in mathematical physics	9
Turing instability in the Lengyel–Epstein fractional Laplacian system	9
Classical and nonclassical Lie symmetries, bifurcation analysis, and Jacobi elliptic function solutions to a 3D-modified nonlinear wave equation in liquid involving gas bubbles	9
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients	9
Existence and multiplicity of nontrivial solutions for poly-Laplacian systems on finite graphs	9
The fundamental solution and blow-up problem of an anisotropic parabolic equation	8
Reflected backward stochastic partial differential equations driven by Teugels martingales	8
Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator	8
Positive solutions for the Riemann–Liouville-type fractional differential equation system with infinite-point boundary conditions on infinite intervals	8
Nondegeneracy of the solutions for elliptic problem with critical exponent	8
On a Vlasov equation model for two-phase fluid flow	8
Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses	8
Pullback attractors for 2D MHD equations with delays on unbounded domains	8
New approaches to corrected Euler–Maclaurin-type inequalities involving Riemann–Liouville fractional integrals for different function classes	7
Existence of triple solutions for elliptic equations driven by p-Laplacian-like operators with Hardy potential under Dirichlet–Neumann boundary conditions	7
Generation of optical solitons molecules and energy flow in Painlevé-integrable Schrödinger dynamical systems	7
Decay estimates of global solutions for the three-dimensional magnetohydrodynamics equations with horizontal dissipation in a half space	7
A fourth order wave equation with acoustic boundary conditions: asymptotic behavior and blow-up in finite time	7
Simpson’s quadrature formula for third differentiable and s-convex functions	7
Decay of the 3D Lüst model	7
Exploring solutions to specific class of fractional differential equations of order $3<\hat{u}\leq 4$	7
Time decay of solutions for compressible isentropic non-Newtonian fluids	7
Solution of fractional integro-differential equations with some existence and stability results	7
Oscillatory and spectral properties of fourth-order differential operator and weighted differential inequality with boundary conditions	7
On fractional order multiple integral transforms technique to handle three dimensional heat equation	7
Extended Lyapunov stability analysis to the power fractional differential equations	7
Analysis of the magneto-thermoelastic vibrations of rotating Euler–Bernoulli nanobeams using the nonlocal elasticity model	7
The existence, uniqueness, and stability results for a nonlinear coupled system using ψ-Caputo fractional derivatives	7
Strict positivity and explicit integral representation of Green’s function for high-order clamped boundary value problems	6
Blow-up for the coupled system of wave equations with memory terms in Schwarzschild spacetime	6
Complex potentials solutions for isotropic Cosserat bodies with voids	6
Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative	6
Trace theorems on Herz-Morrey spaces with applications to Sobolev type inequalities	6
Infinitely many solutions for quasilinear Schrödinger equation with concave-convex nonlinearities	6
Blow-up of solutions to the semilinear wave equation with scale invariant damping on exterior domain	6
Ground state solution for Schrödinger-Choquard equation: doubly critical case	6

Sign-changing solutions for coupled Schrödinger system	6
Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions	6
Boundary layer analysis of variable viscosity Casson fluid over a Riga plate with Caputo fractional derivative and thermal radiation	5
Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms	5
Hybrid nanofluids and bioconvection: insights into bacterial behavior and particle interaction	5
Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses	5
Fractional integral related to Schrödinger operator on vanishing generalized mixed Morrey spaces	5
Effects of Lévy noise and impulsive action on the averaging principle of Atangana–Baleanu fractional stochastic delay differential equations	5
A necessary and sufficient condition for the existence of global solutions to reaction-diffusion equations on bounded domains	5
Solutions to a $(p(x),q(x))$-biharmonic elliptic problem on a bounded domain	5
Global well-posedness and large time behavior of epitaxy thin film growth model	5
A new type of solutions for a nonlinear Schrödinger system with $\chi ^{(2)}$ nonlinearities	5
Global martingale solutions to a stochastic degenerate cross-diffusion ion transport system with volume-filling	5
The posteriori analysis of the spectral element discretization of the wave equation	5
Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions	5
Milne-type inequalities for third differentiable and h-convex functions	5
$(\mathtt{k},\varphi )$-Hilfer fractional Langevin differential equation having multipoint boundary conditions	4
Two-phase heat conduction problems with Sturm-type boundary conditions	4
Fractional soliton structures and chaotic dynamics in nonlinear Jaulent-Miodek hierarchy	4
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient	4
Soliton propagation and dynamical insights in lossy nonlinear transmission lines	4
Existence and uniqueness of positive solution to a new class of nonlocal elliptic problem with parameter dependency	4
Gradient estimate of a Poisson equation under the almost Ricci solitons	4
Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space	4
Numerical solutions for fractional optimal control problems of coupled diffusion systems via Laplace Adomian Decomposition Method	4
Analysis of stochastic neutral fractional functional differential equations	4
Application of double Sumudu-generalized Laplace decomposition method and two-dimensional time-fractional coupled Burger’s equation	4
Fractional analysis of nonlinear dynamics in Korteweg-de Vries-Burgers’ and modified Korteweg-de Vries equations	4
Kink soliton solutions and Hamiltonian dynamics of the fractional generalized Pochhammer-Chree equation via Riccati-Bernoulli sub-ODE method	4
Normalized ground state solutions for a biharmonic equation involving critical exponential growth in $\mathbb{R}^{4}$	4
Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations	4
On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation	4
Numerical solution of Bratu’s boundary value problem based on Green’s function and a novel iterative scheme	4
Enhanced shifted Jacobi operational matrices of integrals: spectral algorithm for solving some types of ordinary and fractional differential equations	4
Some new existence results of positive solutions for anisotropic variable exponent operator	4
Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations	4
New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals	4
On generalized $(k,\psi )$-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem	4
Existence and stability results of f-Caputo modified proportional fractional delay differential systems with boundary conditions	4
Determining the intersample response of state feedback control systems using boundary value problems	4
An analysis of nonlinear integro-differential equations with four-point nonlocal BVP using Ψ-Caputo fractional derivative	4
Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics	4
Superconvergence analysis for nonlinear Ginzburg-Landau equation with backward differential formula finite element method	4
An application of artificial neural networks for solving fractional higher-order linear integro-differential equations	4
New results on an impulsive differential equation involving a q-analogue of the ψ-Caputo fractional derivative	3
Generalized strongly n-polynomial convex functions and related inequalities	3
Existence and multiplicity of solutions for $p(x)$-Laplacian problem with Steklov boundary condition	3
Positive continuous solutions for some semilinear elliptic problems in the half space	3
An inhomogeneous perturbation for a class of nonlinear scalar field equations	3
Model boundary value problem for the Helmholtz equation in a nonconvex angle with periodic boundary data	3
Solvability and Ulam–Hyers–Rassias stability in fractional integrodifferential equations involving mixed nonlocal conditions	3
Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term	3
Two modified shifted Chebyshev–Galerkin operational matrix methods for even-order partial boundary value problems	3
Boundary value problems for second-order causal differential equations	3
Existence results for coupled sequential ψ-Hilfer fractional impulsive BVPs: topological degree theory approach	3
Impulsive coupled systems with regular and singular ϕ-Laplacians and generalized jump conditions	3
On a composite obtained by a mixture of a dipolar solid with a Moore–Gibson–Thompson media	3
Minimum and comparison principles for semilinear nonlocal reaction–diffusion equations	3
Existence results to a Leray–Lions type problem on the Heisenberg Lie groups	3
Competing anisotropic and Finsler $(p,q)$-Laplacian problems	3
A coupled complex mKdV equation and its N-soliton solutions via the Riemann–Hilbert approach	3
Advanced neural network approaches for coupled equations with fractional derivatives	3
Dynamical and optimal control analyses of tinea corporis fungal infection transmission using mathematical modeling approach	3
Existence and nonexistence of solutions for an approximation of the Paneitz problem on spheres	3
New estimates on generalized Hermite–Hadamard–Mercer-type inequalities	3
Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions	3
Dynamical behavior of optical solitons propagation in coupled NLS equations	3
A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law	3
Blow-up of solution to semilinear wave equations with strong damping and scattering damping	3
Qualitative analysis of a prey–predator model with prey refuge and intraspecific competition among predators	3
Exploring new routes in fractional modeling: analytical solutions of Burgers-type systems via Caputo-Hadamard and ϕ-Caputo derivatives	3
On the study of three-dimensional compressible Navier–Stokes equations	3
A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation	3
Multipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions	3
Optimal control for a chemotaxis–haptotaxis model in two space dimensions	3
A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus	3
Identification of the bulk modulus coefficient in the acoustic equation from boundary observation: a sentinel method	3
Bifurcations, chaotic behavior, sensitivity analysis, and various soliton solutions for the extended nonlinear Schrödinger equation	3
Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms	3
Three positive solutions for a nonlinear partial discrete Dirichlet problem with $(p,q)$-Laplacian operator	3

Predicting nonlinear phenomena through fractional derivatives and advanced Riccati mapping: bifurcation and solitary wave behavior in nonlinear systems	3
On the analytical and numerical study for fractional q-integrodifferential equations	3
$(\omega ,c)$-periodic solutions for a class of fractional integrodifferential equations	2
The Robin problems for the coupled system of reaction–diffusion equations	2
Fractional magnetohydrodynamic Casson fluid flow with thermal radiation and buoyancy effects: a constant proportional Caputo model	2
Boundedness in a two-dimensional chemotaxis system with signal-dependent motility and logistic source	2
Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current	2
Periodic solutions for second-order even and noneven Hamiltonian systems	2
Non-Newtonian nanofluid flow across an exponentially stretching sheet with viscous dissipation: numerical study using an SCM based on Appell–Changhee polynomials	2
Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions	2
Generalized J-integral – mathematical foundation	2
Smooth dynamics of a sup-cubic wave equation with delays	2
Optimal time-decay rates of the Keller–Segel system coupled to compressible Navier–Stokes equation in three dimensions	2
An effective numerical method for solving fractional delay differential equations using fractional-order Chelyshkov functions	2
Optimal control of a bilinear distributed system with incomplete data	2
Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions	2
Global attractors for a nonlinear viscoelastic equations with strong damping velocity-dependent material density	2
Strong solution of 3D generalized Navier–Stokes equations with damping	2
Existence of positive solutions for a class of singular elliptic problems with convection term and critical exponential growth	2
Optimal decay-in-time rates of solutions to the Cauchy problem of 3D compressible magneto-micropolar fluids	2
Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators	2
Initial boundary value problem for a viscoelastic wave equation with Balakrishnan–Taylor damping and a delay term: decay estimates and blow-up result	2
Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread	2
A finite element approach to the Keller–Segel Chemotaxis system with impact of nonlocal diffusion	2
Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases	2
Stability and boundedness of solutions to a certain third-order neutral integro-differential equation with constant delay	2
Novel geometric insights into modulation instability and soliton solutions of the truncated M-fractional $(3+1)$-D generalized Painlevé equation	2
The Penalty resolution of the spectral element discretization of the time dependent Darcy equations	2
Nonexistence of positive solutions for the weighted higher-order elliptic system with Navier boundary condition	2
Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term	2
Analysis of a hybrid integro-differential inclusion	2
A novel approach to Caputo–Hadamard pantograph problems in $\mathfrak{L}^{\mathsf{p}}$-spaces	2
Novel exact solutions for PDEs with mixed boundary conditions	2
A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality	2
Analysis of Caputo fractional variable order multi-point initial value problems: existence, uniqueness, and stability	2
New variants of the Hermite–Hadamard–Mercer type estimates involving the Beta function with numerical analysis	2
Persistence properties and blow-up phenomena for a generalized Camassa–Holm equation	2
Thermal radiation and diffusion effects on MHD sisko fluid flow over a nonlinearly stretchable porous sheet	2
Minimal wave speed and traveling wave in nonlocal dispersion SIS epidemic model with delay	2
A Stackelberg reinsurance-investment game with derivatives trading	2
Fractional B-spline collocation method for the numerical solution of the fractional pantograph differential equations	2
Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity	2
Existence and exponential stability of positive periodic solution for a multi-species chemostat model on time scales	2
Investigation of $Alumina-Cu/C_{2}H_{6}O_{2}+H_{2}O$ flows for improved heat transfer through efficient thermal deposition and internal heat generation	2
Weyl-type eigenvalue bounds for the fractional p-Laplacian	2
On a viscous fourth-order parabolic equation with boundary degeneracy	2
Determination of rigid inclusions immersed in an isotropic elastic body from boundary measurement	2
Modeling and numerical simulation of Maxwell nanofluid flow with heat generation and convective heating: a combined Adomian decomposition method and Mohand transform	2
Existence and asymptotic properties of singular solutions of nonlinear elliptic equations in $R^{n}\backslash\{0\}$	2
Arbitrary decay for a von Karman system with memory	2
Modeling two-phase gas-solid flow in axisymmetric diffusers using cut cell technique: an Eulerian-Eulerian approach	2
Sturm-Liouville problems with nonlinear dependence on the spectral parameter in the boundary conditions	2
Novel computations of the time-fractional chemical Schnakenberg mathematical model via non-singular kernel operators	2
Exponential decay and blow-up results of a logarithmic nonlinear wave equation having infinite memory and strong time-varying delay	2
New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals	2
Numerical results of fractional order difference system for norovirus disease with feedback neural networking	2
Wave propagation in dipolar thermoelastic bodies with hyperbolic two-temperature effects: a modified Green-Lindsay approach	2
Index theory and multiple solutions for asymptotically linear second-order delay differential equations	2
Analysis of hybrid fractional differential equations with nonlocal boundary conditions and linear perturbations	2
Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	2
Existence and multiplicity of periodic solutions for a nonlinear resonance equation with singularities	2
A class of Schrödinger elliptic equations involving supercritical exponential growth	2
An inverse boundary value problem for transverse vibrations of a bar	2
Almost sure exponential stability of nonlinear stochastic delay hybrid systems driven by G-Brownian motion	2
Stochastic analysis and soliton solutions of the Chaffee–Infante equation in nonlinear optical media	2
Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity	2
Utilizing fractional derivatives and sensitivity analysis in a random framework: a model-based approach to the investigation of random dynamics of malware spread	2
Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations	1
A variational approach for mixed elliptic problems involving the p-Laplacian with two parameters	1
Computational methods and dynamical analysis for studying $(1 + 1)$ dimensional functional equations of mixed integro-differential type	1
A new perspective on order-theoretic contractive mappings with applications in financial markets and economic growth via fractional differential equations	1
Ground state solutions of nonlocal equations with variable exponents and mixed criticality	1
Caputo fractional derivative in the solution of Kolmogorov equations: a new numerical approach	1
On a class of a coupled nonlinear viscoelastic Kirchhoff equations variable-exponents: global existence, blow up, growth and decay of solutions	1
A relation-theoretic set-valued version of Prešić-Ćirić theorem and applications	1
Fractional stochastic differential equations and degree theory: a unified perspective	1
Exponential stability result of thermoelastic laminated beam with microtemperatures and without thermal conductivity	1
General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions	1
Existence and stability results for nonlocal boundary value problems of fractional order	1
Comparative analysis of pulsatile nanofluid flow under slip conditions through stenosed arteries	1
Some new fractal Milne-type inequalities for generalized convexity with applications	1
Existence of normalized solutions for Schrödinger systems with linear and nonlinear couplings	1
Ground state solutions for a kind of superlinear elliptic equations with variable exponent	1
On the solutions of a nonlinear system of q-difference equations	1
Dynamical behaviors and soliton structures in the space-time conformable Wu-Zhang system arising in coastal design	1
Periodic solution for neutral-type differential equation with piecewise impulses on time scales	1
Existence and multiplicity of solutions for the Cauchy problem of a fractional Lorentz force equation	1
Applying periodic and anti-periodic boundary conditions in existence results of fractional differential equations via nonlinear contractive mappings	1
Finite element analysis of a multi-term nonlinear time-fractional convection-diffusion equation with Caputo-Fabrizio derivative	1
The existence of discrete solitons for the discrete coupled nonlinear Schrödinger system	1
Fractional integral inequalities for strongly convex functions via multiplicative calculus with applications	1
Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative	1
A note on the mass-critical inhomogeneous generalized Hartree equation	1
Numerical solutions for nonlinear ordinary and fractional Newell–Whitehead–Segel equation using shifted Schröder polynomials	1
On qualitative analysis of boundary value problem of variable order fractional delay differential equations	1