Boundary Value Problems

Article	Citations
Least energy nodal solutions for a weighted $(N, p)$-Schrödinger problem involving a continuous potential under exponential growth nonlinearity	67
Blow-up phenomena for a nonlinear shallow water wave model	49
Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator	28
A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions	28
Sobolev embeddings in grand variable Herz-Morrey Besov spaces	23
Positive solutions to a coupled singular anisotropic system with nonstandard growth and singular nonlinearities	23
Positive solutions for a semipositone anisotropic p-Laplacian problem	21
General decay for the viscoelastic wave equation for Kirchhoff-type containing Balakrishnan-Taylor damping, nonlinear damping and logarithmic source term under acoustic boundary conditions	21
On steady state of viscous compressible heat conducting full magnetohydrodynamic equations	20
Existence, uniqueness and stability analysis for a $\mathfrak{f}$-Caputo generalized proportional fractional boundary problem with distinct generalized integral conditions	19
On the existence and continuity of solutions to fractional stochastic differential equations in the framework of G-Lévy jumps	19
Nonresonance for problems involving $(p,q)$-Laplacian equations with nonlinear perturbations	19
Fractional dynamics of wave packets: solving the Davey-Stewartson equation with computational method	18
Entropy generation optimisation on the peristaltic mechanism of non-Newtonian Ree-Eyring fluid with variable liquid properties	18
Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques	17
Walsh function-based numerical approach for nonlinear stochastic integral equations: Application to stochastic logistic models	17
Ulam-Hyers stability for impulsive fractional differential equations in nonreflexive Banach spaces	16
Multiplicity of weak solutions in double phase Kirchhoff elliptic problems with Neumann conditions	15
Unveiling the dynamics of meningitis infections: a comprehensive study of a novel fractional-order model with optimal control strategies	15
Existence, uniqueness, and stability of a sex-structured fractional HIV epidemic model with exponential kernel	14
Existence and uniqueness for a mixed fractional differential system with slit-strips conditions	14
A numerical technique for solving nonlinear fractional PDEs	14
Certain fixed point results for novel contractions with applications to variational inequalities, economic growth and market equilibrium via fractional differential equations	14
An accurate tau-based spectral algorithm for the time fractional bioheat transfer model	14
Pairwise and polynomial contractions in b-metric spaces with applications to boundary value problems of diffusion phenomena and integral-type contractions	14

Solvability of mixed Hilfer fractional functional boundary value problems with p-Laplacian at resonance	14
Ulam stability and solution behavior of implicit fractional Volterra-Fredholm equations via generalized Hilfer-Katugampola calculus	14
Electro-magnetohydrodynamic membrane pumping in a vertical microchannel: coupled thermal and buoyancy effects	14
Correction to: Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	13
Investigation of optical soliton solutions for the fractional-order nonlinear Schrödinger equation including parabolic law of nonlinearity	13
Infinitely many solutions for a Neumann elliptic system with $(p(\cdot ), q(\cdot ))$-Laplacian type operator	13
On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study	13
Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses	13
Dynamics and numerical analysis of a fractional-order toxoplasmosis model incorporating human and cat populations	12
On the dynamics of nonlinear mixed fractional integro-differential systems with Grünwald–Letnikov operators	12
Bifurcation mechanism and hybrid control strategy of a finance model with delays	12
Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential	12
Global classical solutions to the initial-boundary value problem for diagonal quasilinear hyperbolic systems	11
Generalized Tikhonov regularization method for an inverse boundary value problem of the fractional elliptic equation	11
Extension of Milne-type inequalities to Katugampola fractional integrals	11
Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model	11
Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity	11
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	10
A new type of integral transform and its applications to the solution of differential equations	10
Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator	10
New product-type oscillation criteria for first-order linear differential equations with several nonmonotone arguments	10
Turing instability in the Lengyel–Epstein fractional Laplacian system	10
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients	10
On a Vlasov equation model for two-phase fluid flow	9
An accurate approximation technique based on Schröder operational matrices for numerical treatments of time-fractional nonlinear generalized Kawahara equation	9
Exploring existence and uniqueness in non-local Caputo q-fractional integro-differential equations	9
Existence and multiplicity of nontrivial solutions for poly-Laplacian systems on finite graphs	9
Pullback attractors for 2D MHD equations with delays on unbounded domains	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
Oscillatory and spectral properties of fourth-order differential operator and weighted differential inequality with boundary conditions	8
The fundamental solution and blow-up problem of an anisotropic parabolic equation	8
Nondegeneracy of the solutions for elliptic problem with critical exponent	8
New approaches to corrected Euler–Maclaurin-type inequalities involving Riemann–Liouville fractional integrals for different function classes	8
Decay of the 3D Lüst model	8
Reflected backward stochastic partial differential equations driven by Teugels martingales	8
Solution of fractional integro-differential equations with some existence and stability results	8
Exploring solutions to specific class of fractional differential equations of order $3<\hat{u}\leq 4$	7
Positive solutions for the Riemann–Liouville-type fractional differential equation system with infinite-point boundary conditions on infinite intervals	7
Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses	7
Generation of optical solitons molecules and energy flow in Painlevé-integrable Schrödinger dynamical systems	7
The existence, uniqueness, and stability results for a nonlinear coupled system using ψ-Caputo fractional derivatives	7
Boundary-value analysis of unsteady two-phase MHD Casson dusty fluid flow in a porous channel with Newtonian heating, thermal radiation, and mass diffusion	7
Existence of triple solutions for elliptic equations driven by p-Laplacian-like operators with Hardy potential under Dirichlet–Neumann boundary conditions	7
Decay estimates of global solutions for the three-dimensional magnetohydrodynamics equations with horizontal dissipation in a half space	7
Time decay of solutions for compressible isentropic non-Newtonian fluids	7
Simpson’s quadrature formula for third differentiable and s-convex functions	7
A second-order numerical method to the third order neutral Volterra integro-differential equations	7
A fourth order wave equation with acoustic boundary conditions: asymptotic behavior and blow-up in finite time	7
Complex potentials solutions for isotropic Cosserat bodies with voids	7

Sign-changing solutions for coupled Schrödinger system	6
Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative	6
Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms	6
Trace theorems on Herz-Morrey spaces with applications to Sobolev type inequalities	6
Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions	6
Analysis of the magneto-thermoelastic vibrations of rotating Euler–Bernoulli nanobeams using the nonlocal elasticity model	6
Infinitely many solutions for quasilinear Schrödinger equation with concave-convex nonlinearities	6
Stochastic modeling of wildfire spread using deep recurrent neural networks: a data-driven computational approach for analyzing natural hazards	6
Blow-up for the coupled system of wave equations with memory terms in Schwarzschild spacetime	6
Extended Lyapunov stability analysis to the power fractional differential equations	6
Blow-up of solutions to the semilinear wave equation with scale invariant damping on exterior domain	6
Strict positivity and explicit integral representation of Green’s function for high-order clamped boundary value problems	6
Solutions to a $(p(x),q(x))$-biharmonic elliptic problem on a bounded domain	6
Hybrid nanofluids and bioconvection: insights into bacterial behavior and particle interaction	5
Ground state solution for Schrödinger-Choquard equation: doubly critical case	5
The posteriori analysis of the spectral element discretization of the wave equation	5
Some new existence results of positive solutions for anisotropic variable exponent operator	5
Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space	5
Fractional integral related to Schrödinger operator on vanishing generalized mixed Morrey spaces	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
Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions	5
Boundary layer analysis of variable viscosity Casson fluid over a Riga plate with Caputo fractional derivative and thermal radiation	5
Milne-type inequalities for third differentiable and h-convex functions	5
An application of artificial neural networks for solving fractional higher-order linear integro-differential equations	5
Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations	5
Dynamical analysis of a fractional order management and renewable resources model with population growth using a dual computational approach	5
Enhanced shifted Jacobi operational matrices of integrals: spectral algorithm for solving some types of ordinary and fractional differential equations	5
Effects of Lévy noise and impulsive action on the averaging principle of Atangana–Baleanu fractional stochastic delay differential equations	5
Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses	5
$(\mathtt{k},\varphi )$-Hilfer fractional Langevin differential equation having multipoint boundary conditions	5
Superconvergence analysis for nonlinear Ginzburg-Landau equation with backward differential formula finite element method	5
Numerical solutions for fractional optimal control problems of coupled diffusion systems via Laplace Adomian Decomposition Method	5
Determining the intersample response of state feedback control systems using boundary value problems	4
Kink soliton solutions and Hamiltonian dynamics of the fractional generalized Pochhammer-Chree equation via Riccati-Bernoulli sub-ODE method	4
Qualitative analysis of a prey–predator model with prey refuge and intraspecific competition among predators	4
Analysis of stochastic neutral fractional functional differential equations	4
Existence and stability analysis of impulsive Caputo fractional delay systems	4
Gradient estimate of a Poisson equation under the almost Ricci solitons	4
Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations	4
New estimates on generalized Hermite–Hadamard–Mercer-type inequalities	4
Normalized ground state solutions for a biharmonic equation involving critical exponential growth in $\mathbb{R}^{4}$	4
Fractional soliton structures and chaotic dynamics in nonlinear Jaulent-Miodek hierarchy	4
Soliton propagation and dynamical insights in lossy nonlinear transmission lines	4
Fractional analysis of nonlinear dynamics in Korteweg-de Vries-Burgers’ and modified Korteweg-de Vries equations	4
A necessary and sufficient condition for the existence of global solutions to reaction-diffusion equations on bounded domains	4
Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics	4
Two-phase heat conduction problems with Sturm-type boundary conditions	4
An analysis of nonlinear integro-differential equations with four-point nonlocal BVP using Ψ-Caputo fractional derivative	4
Existence and stability results of f-Caputo modified proportional fractional delay differential systems with boundary conditions	4
On a composite obtained by a mixture of a dipolar solid with a Moore–Gibson–Thompson media	4
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient	4
Stability estimate for an inverse problem for a fractional kinetic equation via a Carleman inequality	4
Numerical solution of Bratu’s boundary value problem based on Green’s function and a novel iterative scheme	4
New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals	4
Existence and uniqueness of positive solution to a new class of nonlocal elliptic problem with parameter dependency	4
Existence and exponential stability of positive periodic solution for a multi-species chemostat model on time scales	3
Determination of rigid inclusions immersed in an isotropic elastic body from boundary measurement	3
Fractional magnetohydrodynamic Casson fluid flow with thermal radiation and buoyancy effects: a constant proportional Caputo model	3
Computational analysis of soliton dynamics and their applications in the fractional Kairat-II equation	3
Multipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions	3
Two modified shifted Chebyshev–Galerkin operational matrix methods for even-order partial boundary value problems	3
A coupled complex mKdV equation and its N-soliton solutions via the Riemann–Hilbert approach	3
New results on an impulsive differential equation involving a q-analogue of the ψ-Caputo fractional derivative	3
Novel approximations to the non-linear fractional Belousov-Zhabotinsky reaction in the frame of Caputo operator	3
A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law	3
Novel geometric insights into modulation instability and soliton solutions of the truncated M-fractional $(3+1)$-D generalized Painlevé equation	3
Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions	3
Analysis of a $(2 + 1)$-dimensional fractal KP model: solitons, geometric embedding, and parameter estimation via deep learning	3
On the analytical and numerical study for fractional q-integrodifferential equations	3
Blow-up of solution to semilinear wave equations with strong damping and scattering damping	3
Identification of the bulk modulus coefficient in the acoustic equation from boundary observation: a sentinel method	3
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	3
Almost sure exponential stability of nonlinear stochastic delay hybrid systems driven by G-Brownian motion	3
Normalized ground states for a nonlinear Schrödinger equation with double critical nonlinearities	3
Existence results to a Leray–Lions type problem on the Heisenberg Lie groups	3
$(\omega ,c)$-periodic solutions for a class of fractional integrodifferential equations	3
A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus	3
Optimal control for a chemotaxis–haptotaxis model in two space dimensions	3

Dynamical and optimal control analyses of tinea corporis fungal infection transmission using mathematical modeling approach	3
Positive continuous solutions for some semilinear elliptic problems in the half space	3
Existence results for coupled sequential ψ-Hilfer fractional impulsive BVPs: topological degree theory approach	3
Existence and multiplicity of solutions for $p(x)$-Laplacian problem with Steklov boundary condition	3
Exploring new routes in fractional modeling: analytical solutions of Burgers-type systems via Caputo-Hadamard and ϕ-Caputo derivatives	3
Minimum and comparison principles for semilinear nonlocal reaction–diffusion equations	3
Application of double Sumudu-generalized Laplace decomposition method and two-dimensional time-fractional coupled Burger’s equation	3
Solvability and Ulam–Hyers–Rassias stability in fractional integrodifferential equations involving mixed nonlocal conditions	3
Bifurcations, chaotic behavior, sensitivity analysis, and various soliton solutions for the extended nonlinear Schrödinger equation	3
Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term	3
Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators	3
Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity	3
Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases	3
Advanced neural network approaches for coupled equations with fractional derivatives	3
Analytical results on coupled Caputo systems with boundary nonlocality and Ulam-Hyers stability	3
A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation	3
Impulsive coupled systems with regular and singular ϕ-Laplacians and generalized jump conditions	3
Boundary value problems for second-order causal differential equations	3
Generalized strongly n-polynomial convex functions and related inequalities	3
Model boundary value problem for the Helmholtz equation in a nonconvex angle with periodic boundary data	3
Predicting nonlinear phenomena through fractional derivatives and advanced Riccati mapping: bifurcation and solitary wave behavior in nonlinear systems	3
Competing anisotropic and Finsler $(p,q)$-Laplacian problems	3
Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms	3
Dynamical behavior of optical solitons propagation in coupled NLS equations	3
On generalized $(k,\psi )$-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem	3
On the study of three-dimensional compressible Navier–Stokes equations	3
Existence and nonexistence of solutions for an approximation of the Paneitz problem on spheres	3
Initial boundary value problem for a viscoelastic wave equation with Balakrishnan–Taylor damping and a delay term: decay estimates and blow-up result	3