Boundary Value Problems

Article	Citations
On strong singular fractional version of the Sturm–Liouville equation	49
Kohn–Vogelius formulation for plasma geometry identification problem	44
Least energy nodal solutions for a weighted $(N, p)$-Schrödinger problem involving a continuous potential under exponential growth nonlinearity	28
On steady state of viscous compressible heat conducting full magnetohydrodynamic equations	23
A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions	20
Blow-up phenomena for a nonlinear shallow water wave model	18
Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator	17
Existence, uniqueness and stability analysis for a $\mathfrak{f}$-Caputo generalized proportional fractional boundary problem with distinct generalized integral conditions	16
Positive solutions for a semipositone anisotropic p-Laplacian problem	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	14
General decay for the viscoelastic wave equation for Kirchhoff-type containing Balakrishnan-Taylor damping, nonlinear damping and logarithmic source term under acoustic boundary conditions	13
On global classical solutions to one-dimensional compressible Navier–Stokes/Allen–Cahn system with density-dependent viscosity and vacuum	13
Solvability of mixed Hilfer fractional functional boundary value problems with p-Laplacian at resonance	12
Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential	12
Positive solutions to a coupled singular anisotropic system with nonstandard growth and singular nonlinearities	12
On the critical behavior for time-fractional pseudo-parabolic-type equations with combined nonlinearities	12
Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques	12
Pairwise and polynomial contractions in b-metric spaces with applications to boundary value problems of diffusion phenomena and integral-type contractions	11
Bifurcation mechanism and hybrid control strategy of a finance model with delays	11
Existence and uniqueness for a mixed fractional differential system with slit-strips conditions	11
Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses	10
Extension of Milne-type inequalities to Katugampola fractional integrals	10
Correction to: Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	10
Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity	10

The existence of solutions for Sturm–Liouville differential equation with random impulses and boundary value problems	10
On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study	10
Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator	9
Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model	9
New product-type oscillation criteria for first-order linear differential equations with several nonmonotone arguments	9
Generalized Tikhonov regularization method for an inverse boundary value problem of the fractional elliptic equation	9
Blow-up criteria of the simplified Ericksen–Leslie system	9
Dynamics and numerical analysis of a fractional-order toxoplasmosis model incorporating human and cat populations	9
An accurate approximation technique based on Schröder operational matrices for numerical treatments of time-fractional nonlinear generalized Kawahara equation	8
Turing instability in the Lengyel–Epstein fractional Laplacian system	8
Existence and multiplicity of nontrivial solutions for poly-Laplacian systems on finite graphs	8
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients	8
Classical and nonclassical Lie symmetries, bifurcation analysis, and Jacobi elliptic function solutions to a 3D-modified nonlinear wave equation in liquid involving gas bubbles	8
Decay of the 3D Lüst model	7
Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses	7
On a Vlasov equation model for two-phase fluid flow	7
On fractional order multiple integral transforms technique to handle three dimensional heat equation	7
The fundamental solution and blow-up problem of an anisotropic parabolic equation	7
Complex potentials solutions for isotropic Cosserat bodies with voids	7
On Green’s function of Cauchy–Dirichlet problem for hyperbolic equation in a quarter plane	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	6
On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime	6
Nondegeneracy of the solutions for elliptic problem with critical exponent	6
New approaches to corrected Euler–Maclaurin-type inequalities involving Riemann–Liouville fractional integrals for different function classes	6
A note on global existence of strong solution to the 3D micropolar equations with a damping term	6
Simpson’s quadrature formula for third differentiable and s-convex functions	6
Time decay of solutions for compressible isentropic non-Newtonian fluids	6
Oscillatory and spectral properties of fourth-order differential operator and weighted differential inequality with boundary conditions	6
Positive solutions for the Riemann–Liouville-type fractional differential equation system with infinite-point boundary conditions on infinite intervals	6
Effect of the protection zone in a diffusive ratio-dependent predator–prey model with fear and Allee effect	5
Analysis of the magneto-thermoelastic vibrations of rotating Euler–Bernoulli nanobeams using the nonlocal elasticity model	5
Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions	5
Effects of Lévy noise and impulsive action on the averaging principle of Atangana–Baleanu fractional stochastic delay differential equations	5
Infinitely many solutions for quasilinear Schrödinger equation with concave-convex nonlinearities	5
The existence, uniqueness, and stability results for a nonlinear coupled system using ψ-Caputo fractional derivatives	5
Solutions to a $(p(x),q(x))$-biharmonic elliptic problem on a bounded domain	5
Sign-changing solutions for coupled Schrödinger system	5
Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative	5
Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms	5
Blow-up for the coupled system of wave equations with memory terms in Schwarzschild spacetime	5
Reflected backward stochastic partial differential equations driven by Teugels martingales	5
Blow-up of solutions to the semilinear wave equation with scale invariant damping on exterior domain	5
Hybrid nanofluids and bioconvection: insights into bacterial behavior and particle interaction	5
Some new existence results of positive solutions for anisotropic variable exponent operator	4
$(\mathtt{k},\varphi )$-Hilfer fractional Langevin differential equation having multipoint boundary conditions	4
Milne-type inequalities for third differentiable and h-convex functions	4
Application of double Sumudu-generalized Laplace decomposition method and two-dimensional time-fractional coupled Burger’s equation	4
Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem	4
On a composite obtained by a mixture of a dipolar solid with a Moore–Gibson–Thompson media	4

The posteriori analysis of the spectral element discretization of the wave equation	4
Fractional integral related to Schrödinger operator on vanishing generalized mixed Morrey spaces	4
A new type of solutions for a nonlinear Schrödinger system with $\chi ^{(2)}$ nonlinearities	4
Global well-posedness and large time behavior of epitaxy thin film growth model	4
Gradient estimate of a Poisson equation under the almost Ricci solitons	4
On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation	4
Singularly perturbed quasilinear Choquard equations with nonlinearity satisfying Berestycki–Lions assumptions	4
An application of artificial neural networks for solving fractional higher-order linear integro-differential equations	4
A necessary and sufficient condition for the existence of global solutions to reaction-diffusion equations on bounded domains	4
Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space	4
Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions	4
Enhanced shifted Jacobi operational matrices of integrals: spectral algorithm for solving some types of ordinary and fractional differential equations	4
Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations	4
Analysis of stochastic neutral fractional functional differential equations	4
Numerical solution of Bratu’s boundary value problem based on Green’s function and a novel iterative scheme	4
Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses	4
Multiple solutions for a quasilinear Schrödinger–Poisson system	3
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient	3
Qualitative analysis of a prey–predator model with prey refuge and intraspecific competition among predators	3
Existence results for coupled sequential ψ-Hilfer fractional impulsive BVPs: topological degree theory approach	3
Two-phase heat conduction problems with Sturm-type boundary conditions	3
Blow-up of solution to semilinear wave equations with strong damping and scattering damping	3
Advanced neural network approaches for coupled equations with fractional derivatives	3
Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions	3
Generalized strongly n-polynomial convex functions and related inequalities	3
Three positive solutions for a nonlinear partial discrete Dirichlet problem with $(p,q)$-Laplacian operator	3
Determining the intersample response of state feedback control systems using boundary value problems	3
Normalized ground state solutions for a biharmonic equation involving critical exponential growth in $\mathbb{R}^{4}$	3
On generalized $(k,\psi )$-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem	3
On the analytical and numerical study for fractional q-integrodifferential equations	3
Existence and uniqueness of positive solution to a new class of nonlocal elliptic problem with parameter dependency	3
On the study of three-dimensional compressible Navier–Stokes equations	3
Existence results to a Leray–Lions type problem on the Heisenberg Lie groups	3
Dynamical and optimal control analyses of tinea corporis fungal infection transmission using mathematical modeling approach	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
Some notes on conformable fractional Sturm–Liouville problems	3
Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations	3
A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law	3
New estimates on generalized Hermite–Hadamard–Mercer-type inequalities	3
New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals	3
Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics	3
Impulsive coupled systems with regular and singular ϕ-Laplacians and generalized jump conditions	3
Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term	3
Bifurcations, chaotic behavior, sensitivity analysis, and various soliton solutions for the extended nonlinear Schrödinger equation	3
Optimal control for a chemotaxis–haptotaxis model in two space dimensions	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
Identification of the bulk modulus coefficient in the acoustic equation from boundary observation: a sentinel method	2
Analysis of a hybrid integro-differential inclusion	2
Optimal time-decay rates of the Keller–Segel system coupled to compressible Navier–Stokes equation in three dimensions	2
New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals	2
Arbitrary decay for a von Karman system with memory	2
Almost sure exponential stability of nonlinear stochastic delay hybrid systems driven by G-Brownian motion	2
Non-Newtonian nanofluid flow across an exponentially stretching sheet with viscous dissipation: numerical study using an SCM based on Appell–Changhee polynomials	2
Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators	2
Novel exact solutions for PDEs with mixed boundary conditions	2
Stochastic analysis and soliton solutions of the Chaffee–Infante equation in nonlinear optical media	2
Determination of rigid inclusions immersed in an isotropic elastic body from boundary measurement	2
Novel computations of the time-fractional chemical Schnakenberg mathematical model via non-singular kernel operators	2
Positive continuous solutions for some semilinear elliptic problems in the half space	2
Strong solution of 3D generalized Navier–Stokes equations with damping	2
Boundary value problems for second-order causal differential equations	2
Inverse problem for cracked inhomogeneous Kirchhoff–Love plate with two hinged rigid inclusions	2
An inhomogeneous perturbation for a class of nonlinear scalar field equations	2
Optimal decay-in-time rates of solutions to the Cauchy problem of 3D compressible magneto-micropolar fluids	2
Minimal wave speed and traveling wave in nonlocal dispersion SIS epidemic model with delay	2
Periodic solutions for second-order even and noneven Hamiltonian systems	2
Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity	2
Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current	2
Multiple solutions for singular semipositone boundary value problems of fourth-order differential systems with parameters	2
$(\omega ,c)$-periodic solutions for a class of fractional integrodifferential equations	2
A class of Schrödinger elliptic equations involving supercritical exponential growth	2
Weyl-type eigenvalue bounds for the fractional p-Laplacian	2
Nonexistence of positive solutions for the weighted higher-order elliptic system with Navier boundary condition	2
Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases	2
A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation	2
Generalized J-integral – mathematical foundation	2
Existence and multiplicity of solutions for $p(x)$-Laplacian problem with Steklov boundary condition	2
An effective numerical method for solving fractional delay differential equations using fractional-order Chelyshkov functions	2

A coupled complex mKdV equation and its N-soliton solutions via the Riemann–Hilbert approach	2
Existence and asymptotic properties of singular solutions of nonlinear elliptic equations in $R^{n}\backslash\{0\}$	2
Existence and nonexistence of solutions for an approximation of the Paneitz problem on spheres	2
Fractional magnetohydrodynamic Casson fluid flow with thermal radiation and buoyancy effects: a constant proportional Caputo model	2
A Stackelberg reinsurance-investment game with derivatives trading	2
Analysis of Caputo fractional variable order multi-point initial value problems: existence, uniqueness, and stability	2
Modeling and numerical simulation of Maxwell nanofluid flow with heat generation and convective heating: a combined Adomian decomposition method and Mohand transform	2
High perturbations of a new Kirchhoff problem involving the p-Laplace operator	2
Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces	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
A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers–Ulam stability	2
Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity	2
A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality	2
Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread	2
Competing anisotropic and Finsler $(p,q)$-Laplacian problems	2
Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions	2
Model boundary value problem for the Helmholtz equation in a nonconvex angle with periodic boundary data	2
Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	2
Multipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions	2
Index theory and multiple solutions for asymptotically linear second-order delay differential equations	2