Boundary Value Problems

Article	Citations
Least energy nodal solutions for a weighted $(N, p)$-Schrödinger problem involving a continuous potential under exponential growth nonlinearity	68
Blow-up phenomena for a nonlinear shallow water wave model	49
A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions	29
Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator	28
Sobolev embeddings in grand variable Herz-Morrey Besov spaces	25
Positive solutions to a coupled singular anisotropic system with nonstandard growth and singular nonlinearities	25
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
Positive solutions for a semipositone anisotropic p-Laplacian problem	21
On steady state of viscous compressible heat conducting full magnetohydrodynamic equations	21
Nonresonance for problems involving $(p,q)$-Laplacian equations with nonlinear perturbations	20
On the existence and continuity of solutions to fractional stochastic differential equations in the framework of G-Lévy jumps	20
Existence, uniqueness and stability analysis for a $\mathfrak{f}$-Caputo generalized proportional fractional boundary problem with distinct generalized integral conditions	20
Certain fixed point results for novel contractions with applications to variational inequalities, economic growth and market equilibrium via fractional differential equations	19
Fractional dynamics of wave packets: solving the Davey-Stewartson equation with computational method	19
Entropy generation optimisation on the peristaltic mechanism of non-Newtonian Ree-Eyring fluid with variable liquid properties	17
Multiplicity of weak solutions in double phase Kirchhoff elliptic problems with Neumann conditions	17
Walsh function-based numerical approach for nonlinear stochastic integral equations: Application to stochastic logistic models	16
Ulam-Hyers stability for impulsive fractional differential equations in nonreflexive Banach spaces	16
Existence, uniqueness, and stability of a sex-structured fractional HIV epidemic model with exponential kernel	16
Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques	15
Solvability of mixed Hilfer fractional functional boundary value problems with p-Laplacian at resonance	15
An accurate tau-based spectral algorithm for the time fractional bioheat transfer model	15
Unveiling the dynamics of meningitis infections: a comprehensive study of a novel fractional-order model with optimal control strategies	15
Existence and uniqueness for a mixed fractional differential system with slit-strips conditions	15
A coupled system of Langevin-type fractional differential equations involving Ψ-Caputo derivatives in arbitrary Banach spaces	14

Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses	14
Pairwise and polynomial contractions in b-metric spaces with applications to boundary value problems of diffusion phenomena and integral-type contractions	14
Bifurcation mechanism and hybrid control strategy of a finance model with delays	14
Electro-magnetohydrodynamic membrane pumping in a vertical microchannel: coupled thermal and buoyancy effects	14
Infinitely many solutions for a Neumann elliptic system with $(p(\cdot ), q(\cdot ))$-Laplacian type operator	14
Ulam stability and solution behavior of implicit fractional Volterra-Fredholm equations via generalized Hilfer-Katugampola calculus	14
Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity	13
Global classical solutions to the initial-boundary value problem for diagonal quasilinear hyperbolic systems	13
Extension of Milne-type inequalities to Katugampola fractional integrals	13
Dynamics and numerical analysis of a fractional-order toxoplasmosis model incorporating human and cat populations	13
On the dynamics of nonlinear mixed fractional integro-differential systems with Grünwald–Letnikov operators	12
Investigation of optical soliton solutions for the fractional-order nonlinear Schrödinger equation including parabolic law of nonlinearity	12
Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential	12
Correction to: Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	11
Generalized Tikhonov regularization method for an inverse boundary value problem of the fractional elliptic equation	11
A new type of integral transform and its applications to the solution of differential equations	11
On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study	11
New product-type oscillation criteria for first-order linear differential equations with several nonmonotone arguments	11
Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model	11
A numerical technique for solving nonlinear fractional PDEs	11
Blow-up criteria of the simplified Ericksen–Leslie system	11
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients	10
Classical and nonclassical Lie symmetries, bifurcation analysis, and Jacobi elliptic function solutions to a 3D-modified nonlinear wave equation in liquid involving gas bubbles	10
Turing instability in the Lengyel–Epstein fractional Laplacian system	10
Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator	10
Chaotic behavior, sensitive analysis and dynamics of invariant formulation of nonclassical symmetries to the nonlinear Tzitzéica equation arising in mathematical physics	10
Reflected backward stochastic partial differential equations driven by Teugels martingales	9
Pullback attractors for 2D MHD equations with delays on unbounded domains	9
An accurate approximation technique based on Schröder operational matrices for numerical treatments of time-fractional nonlinear generalized Kawahara equation	9
Nondegeneracy of the solutions for elliptic problem with critical exponent	9
Exploring existence and uniqueness in non-local Caputo q-fractional integro-differential equations	9
On a Vlasov equation model for two-phase fluid flow	9
A fourth order wave equation with acoustic boundary conditions: asymptotic behavior and blow-up in finite time	9
Analysis of heat and mass transfer in nanofluid flow over a stretching surface in a porous medium considering thermophoretic and Darcy effects	9
Decay estimates of global solutions for the three-dimensional magnetohydrodynamics equations with horizontal dissipation in a half space	8
Oscillatory and spectral properties of fourth-order differential operator and weighted differential inequality with boundary conditions	8
Decay of the 3D Lüst model	8
Boundary-value analysis of unsteady two-phase MHD Casson dusty fluid flow in a porous channel with Newtonian heating, thermal radiation, and mass diffusion	8
New approaches to corrected Euler–Maclaurin-type inequalities involving Riemann–Liouville fractional integrals for different function classes	8
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
Simpson’s quadrature formula for third differentiable and s-convex functions	7
Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses	7
Blow-up of solutions to the semilinear wave equation with scale invariant damping on exterior domain	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
Analysis of the magneto-thermoelastic vibrations of rotating Euler–Bernoulli nanobeams using the nonlocal elasticity model	7
Exploring solutions to specific class of fractional differential equations of order $3<\hat{u}\leq 4$	7
Existence of triple solutions for elliptic equations driven by p-Laplacian-like operators with Hardy potential under Dirichlet–Neumann boundary conditions	7
Complex potentials solutions for isotropic Cosserat bodies with voids	7

The fundamental solution and blow-up problem of an anisotropic parabolic equation	7
Positive solutions for the Riemann–Liouville-type fractional differential equation system with infinite-point boundary conditions on infinite intervals	7
Extended Lyapunov stability analysis to the power fractional differential equations	7
A second-order numerical method to the third order neutral Volterra integro-differential equations	7
Strict positivity and explicit integral representation of Green’s function for high-order clamped boundary value problems	6
Trace theorems on Herz-Morrey spaces with applications to Sobolev type inequalities	6
Ground state solution for Schrödinger-Choquard equation: doubly critical case	6
Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions	6
Blow-up for the coupled system of wave equations with memory terms in Schwarzschild spacetime	6
Boundary layer analysis of variable viscosity Casson fluid over a Riga plate with Caputo fractional derivative and thermal radiation	6
Effects of Lévy noise and impulsive action on the averaging principle of Atangana–Baleanu fractional stochastic delay differential equations	6
Solutions to a $(p(x),q(x))$-biharmonic elliptic problem on a bounded domain	6
Sign-changing solutions for coupled Schrödinger system	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
Global martingale solutions to a stochastic degenerate cross-diffusion ion transport system with volume-filling	6
Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions	6
Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms	6
Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative	6
Stability estimate for an inverse problem for a fractional kinetic equation via a Carleman inequality	5
Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses	5
Dynamical analysis of a fractional order management and renewable resources model with population growth using a dual computational approach	5
The posteriori analysis of the spectral element discretization of the wave equation	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
A necessary and sufficient condition for the existence of global solutions to reaction-diffusion equations on bounded domains	5
Some new existence results of positive solutions for anisotropic variable exponent operator	5
$(\mathtt{k},\varphi )$-Hilfer fractional Langevin differential equation having multipoint boundary conditions	5
Hybrid nanofluids and bioconvection: insights into bacterial behavior and particle interaction	5
Global well-posedness and large time behavior of epitaxy thin film growth model	5
Superconvergence analysis for nonlinear Ginzburg-Landau equation with backward differential formula finite element method	5
Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations	5
Enhanced shifted Jacobi operational matrices of integrals: spectral algorithm for solving some types of ordinary and fractional differential equations	5
Existence and asymptotic behavior of normalized solutions for Kirchhoff equation with Hardy nonlinearities	5
A new type of solutions for a nonlinear Schrödinger system with $\chi ^{(2)}$ nonlinearities	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
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
New estimates on generalized Hermite–Hadamard–Mercer-type inequalities	4
A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law	4
An analysis of nonlinear integro-differential equations with four-point nonlocal BVP using Ψ-Caputo fractional derivative	4
On a composite obtained by a mixture of a dipolar solid with a Moore–Gibson–Thompson media	4
Soliton propagation and dynamical insights in lossy nonlinear transmission lines	4
On generalized $(k,\psi )$-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem	4
Normalized ground state solutions for a biharmonic equation involving critical exponential growth in $\mathbb{R}^{4}$	4
Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics	4
Existence and stability analysis of impulsive Caputo fractional delay systems	4
Kink soliton solutions and Hamiltonian dynamics of the fractional generalized Pochhammer-Chree equation via Riccati-Bernoulli sub-ODE method	4
New results on an impulsive differential equation involving a q-analogue of the ψ-Caputo fractional derivative	4
Application of double Sumudu-generalized Laplace decomposition method and two-dimensional time-fractional coupled Burger’s equation	4
Blow-up of solution to semilinear wave equations with strong damping and scattering damping	4
Fractional analysis of nonlinear dynamics in Korteweg-de Vries-Burgers’ and modified Korteweg-de Vries equations	4
Analysis of stochastic neutral fractional functional differential equations	4
Existence and uniqueness of positive solution to a new class of nonlocal elliptic problem with parameter dependency	4
Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations	4
Gradient estimate of a Poisson equation under the almost Ricci solitons	4
Existence and stability results of f-Caputo modified proportional fractional delay differential systems with boundary conditions	4
Fractional soliton structures and chaotic dynamics in nonlinear Jaulent-Miodek hierarchy	4
Predicting nonlinear phenomena through fractional derivatives and advanced Riccati mapping: bifurcation and solitary wave behavior in nonlinear systems	4
On the analytical and numerical study for fractional q-integrodifferential equations	4
Qualitative analysis of a prey–predator model with prey refuge and intraspecific competition among predators	4
Two-phase heat conduction problems with Sturm-type boundary conditions	4
Determining the intersample response of state feedback control systems using boundary value problems	4
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient	4
Numerical solutions for fractional optimal control problems of coupled diffusion systems via Laplace Adomian Decomposition Method	4
Optimal decay-in-time rates of solutions to the Cauchy problem of 3D compressible magneto-micropolar fluids	3
Stochastic analysis and soliton solutions of the Chaffee–Infante equation in nonlinear optical media	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
Bifurcations, chaotic behavior, sensitivity analysis, and various soliton solutions for the extended nonlinear Schrödinger equation	3
Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current	3
Identification of the bulk modulus coefficient in the acoustic equation from boundary observation: a sentinel method	3
Novel approximations to the non-linear fractional Belousov-Zhabotinsky reaction in the frame of Caputo operator	3
Boundary value problems for second-order causal differential equations	3
Existence and boundedness of solutions for anisotropic quasilinear elliptic equations with convection and unbounded coefficients	3
Existence results for coupled sequential ψ-Hilfer fractional impulsive BVPs: topological degree theory approach	3
Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases	3
Computational analysis of soliton dynamics and their applications in the fractional Kairat-II equation	3
Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions	3
On the study of three-dimensional compressible Navier–Stokes equations	3

Weyl-type eigenvalue bounds for the fractional p-Laplacian	3
A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus	3
Two modified shifted Chebyshev–Galerkin operational matrix methods for even-order partial boundary value problems	3
Multipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions	3
A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality	3
A Stackelberg reinsurance-investment game with derivatives trading	3
Asymptotic periodicity in nonlinear coupled matrix Sylvester Volterra systems integro-dynamic system on arbitrary time domains	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
Dynamical behavior of optical solitons propagation in coupled NLS equations	3
Almost sure exponential stability of nonlinear stochastic delay hybrid systems driven by G-Brownian motion	3
Generalized strongly n-polynomial convex functions and related inequalities	3
Normalized ground states for a nonlinear Schrödinger equation with double critical nonlinearities	3
A coupled complex mKdV equation and its N-soliton solutions via the Riemann–Hilbert approach	3
Determination of rigid inclusions immersed in an isotropic elastic body from boundary measurement	3
Novel geometric insights into modulation instability and soliton solutions of the truncated M-fractional $(3+1)$-D generalized Painlevé equation	3
$(\omega ,c)$-periodic solutions for a class of fractional integrodifferential equations	3
Existence results to a Leray–Lions type problem on the Heisenberg Lie groups	3
Minimum and comparison principles for semilinear nonlocal reaction–diffusion equations	3
Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms	3
Dynamical and optimal control analyses of tinea corporis fungal infection transmission using mathematical modeling approach	3
Solvability and Ulam–Hyers–Rassias stability in fractional integrodifferential equations involving mixed nonlocal conditions	3
A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation	3
Competing anisotropic and Finsler $(p,q)$-Laplacian problems	3
New variants of the Hermite–Hadamard–Mercer type estimates involving the Beta function with numerical analysis	3
Existence of solutions for double-phase nonlinear elliptic equations with singular potentials, nonlocal interactions, and mixed boundary conditions	3
Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators	3
Existence and exponential stability of positive periodic solution for a multi-species chemostat model on time scales	3
Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term	3
Normalized solutions for a kind of Schrödinger equations with general potential and mass-supercritical	3
Optimal control for a chemotaxis–haptotaxis model in two space dimensions	3
Fractional magnetohydrodynamic Casson fluid flow with thermal radiation and buoyancy effects: a constant proportional Caputo model	3
Positive continuous solutions for some semilinear elliptic problems in the half space	3
Advanced neural network approaches for coupled equations with fractional derivatives	3
Model boundary value problem for the Helmholtz equation in a nonconvex angle with periodic boundary data	3
Analytical results on coupled Caputo systems with boundary nonlocality and Ulam-Hyers stability	3
Impulsive coupled systems with regular and singular ϕ-Laplacians and generalized jump conditions	3
Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity	3
Exploring new routes in fractional modeling: analytical solutions of Burgers-type systems via Caputo-Hadamard and ϕ-Caputo derivatives	3
Existence and multiplicity of solutions for $p(x)$-Laplacian problem with Steklov boundary condition	3
Analysis of a $(2 + 1)$-dimensional fractal KP model: solitons, geometric embedding, and parameter estimation via deep learning	3
Existence and nonexistence of solutions for an approximation of the Paneitz problem on spheres	3
Generalized J-integral – mathematical foundation	3