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
Positive solutions to a coupled singular anisotropic system with nonstandard growth and singular nonlinearities	21
Walsh function-based numerical approach for nonlinear stochastic integral equations: Application to stochastic logistic models	21
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
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
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
An accurate tau-based spectral algorithm for the time fractional bioheat transfer model	17
Positive solutions for a semipositone anisotropic p-Laplacian problem	16
Sobolev embeddings in grand variable Herz-Morrey Besov spaces	16
On steady state of viscous compressible heat conducting full magnetohydrodynamic equations	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
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
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
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
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
Bifurcation mechanism and hybrid control strategy of a finance model with delays	11
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
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
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
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
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
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
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
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
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
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
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
Hybrid nanofluids and bioconvection: insights into bacterial behavior and particle interaction	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
Milne-type inequalities for third differentiable and h-convex functions	5
Solutions to a $(p(x),q(x))$-biharmonic elliptic problem on a bounded domain	5
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
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
Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions	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
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
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
$(\mathtt{k},\varphi )$-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
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
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