Boundary Value Problems

Article	Citations
On strong singular fractional version of the Sturm–Liouville equation	41
Kohn–Vogelius formulation for plasma geometry identification problem	38
Least energy nodal solutions for a weighted $(N, p)$-Schrödinger problem involving a continuous potential under exponential growth nonlinearity	27
On steady state of viscous compressible heat conducting full magnetohydrodynamic equations	21
Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator	20
Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques	17
A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions	15
Multiplicity of weak solutions in double phase Kirchhoff elliptic problems with Neumann conditions	14
Blow-up phenomena for a nonlinear shallow water wave model	14
Unveiling the dynamics of meningitis infections: a comprehensive study of a novel fractional-order model with optimal control strategies	12
Existence, uniqueness and stability analysis for a $\mathfrak{f}$-Caputo generalized proportional fractional boundary problem with distinct generalized integral conditions	11
Positive solutions for a semipositone anisotropic p-Laplacian problem	11
On global classical solutions to one-dimensional compressible Navier–Stokes/Allen–Cahn system with density-dependent viscosity and vacuum	11
On the critical behavior for time-fractional pseudo-parabolic-type equations with combined nonlinearities	10
Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential	10
On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study	10
General decay for the viscoelastic wave equation for Kirchhoff-type containing Balakrishnan-Taylor damping, nonlinear damping and logarithmic source term under acoustic boundary conditions	10
Existence and uniqueness for a mixed fractional differential system with slit-strips conditions	10
Solvability of mixed Hilfer fractional functional boundary value problems with p-Laplacian at resonance	10
Correction to: Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	9
Bifurcation mechanism and hybrid control strategy of a finance model with delays	9
Extension of Milne-type inequalities to Katugampola fractional integrals	9
Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity	9
The existence of solutions for Sturm–Liouville differential equation with random impulses and boundary value problems	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	8

Dynamics and numerical analysis of a fractional-order toxoplasmosis model incorporating human and cat populations	8
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients	8
Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses	8
Blow-up criteria of the simplified Ericksen–Leslie system	8
Generalized Tikhonov regularization method for an inverse boundary value problem of the fractional elliptic equation	8
Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator	7
Exploring solutions to specific class of fractional differential equations of order $3<\hat{u}\leq 4$	7
Turing instability in the Lengyel–Epstein fractional Laplacian system	7
On a Vlasov equation model for two-phase fluid flow	7
New product-type oscillation criteria for first-order linear differential equations with several nonmonotone arguments	7
Existence and multiplicity of nontrivial solutions for poly-Laplacian systems on finite graphs	7
The fundamental solution and blow-up problem of an anisotropic parabolic equation	6
On Green’s function of Cauchy–Dirichlet problem for hyperbolic equation in a quarter plane	6
Complex potentials solutions for isotropic Cosserat bodies with voids	6
A blow-up result for a system of coupled viscoelastic equations with arbitrary positive initial energy	6
Oscillatory and spectral properties of fourth-order differential operator and weighted differential inequality with boundary conditions	6
On fractional order multiple integral transforms technique to handle three dimensional heat equation	6
Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses	6
Decay of the 3D Lüst model	6
Time decay of solutions for compressible isentropic non-Newtonian fluids	5
Nondegeneracy of the solutions for elliptic problem with critical exponent	5
Analysis of the magneto-thermoelastic vibrations of rotating Euler–Bernoulli nanobeams using the nonlocal elasticity model	5
The existence, uniqueness, and stability results for a nonlinear coupled system using ψ-Caputo fractional derivatives	5
Effect of the protection zone in a diffusive ratio-dependent predator–prey model with fear and Allee effect	5
Positive solutions for the Riemann–Liouville-type fractional differential equation system with infinite-point boundary conditions on infinite intervals	5
On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime	5
Simpson’s quadrature formula for third differentiable and s-convex functions	5
A note on global existence of strong solution to the 3D micropolar equations with a damping term	5
Existence of triple solutions for elliptic equations driven by p-Laplacian-like operators with Hardy potential under Dirichlet–Neumann boundary conditions	5
Sign-changing solutions for coupled Schrödinger system	4
Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions	4
Blow-up for the coupled system of wave equations with memory terms in Schwarzschild spacetime	4
Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative	4
Global well-posedness and large time behavior of epitaxy thin film growth model	4
The posteriori analysis of the spectral element discretization of the wave equation	4
Hybrid nanofluids and bioconvection: insights into bacterial behavior and particle interaction	4
Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms	4
Infinitely many solutions for quasilinear Schrödinger equation with concave-convex nonlinearities	4
Effects of Lévy noise and impulsive action on the averaging principle of Atangana–Baleanu fractional stochastic delay differential equations	4
A new type of solutions for a nonlinear Schrödinger system with $\chi ^{(2)}$ nonlinearities	4
A necessary and sufficient condition for the existence of global solutions to reaction-diffusion equations on bounded domains	4
Some new existence results of positive solutions for anisotropic variable exponent operator	4
Solutions to a $(p(x),q(x))$-biharmonic elliptic problem on a bounded domain	4
Blow-up of solutions to the semilinear wave equation with scale invariant damping on exterior domain	4
Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions	4
Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses	4
A new blow up criterion for the 3D magneto-micropolar fluid flows without magnetic diffusion	4
An application of artificial neural networks for solving fractional higher-order linear integro-differential equations	4
Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space	3
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient	3

New estimates on generalized Hermite–Hadamard–Mercer-type inequalities	3
Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics	3
Gradient estimate of a Poisson equation under the almost Ricci solitons	3
Nonlocal Lazer–McKenna-type problem perturbed by the Hardy’s potential and its parabolic equivalence	3
Enhanced shifted Jacobi operational matrices of integrals: spectral algorithm for solving some types of ordinary and fractional differential equations	3
Implicit nonlinear fractional differential equations of variable order	3
$(\mathtt{k},\varphi )$-Hilfer fractional Langevin differential equation having multipoint boundary conditions	3
Singularly perturbed quasilinear Choquard equations with nonlinearity satisfying Berestycki–Lions assumptions	3
Existence and uniqueness of positive solution to a new class of nonlocal elliptic problem with parameter dependency	3
New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals	3
Numerical solution of Bratu’s boundary value problem based on Green’s function and a novel iterative scheme	3
On instability of Rayleigh–Taylor problem for incompressible liquid crystals under $L^{1}$-norm	3
Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations	3
Milne-type inequalities for third differentiable and h-convex functions	3
Analysis of stochastic neutral fractional functional differential equations	3
Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem	3
Retraction Note: A remark on the a-minimally thin sets associated with the Schrödinger operator	3
On a composite obtained by a mixture of a dipolar solid with a Moore–Gibson–Thompson media	3
Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations	3
Application of double Sumudu-generalized Laplace decomposition method and two-dimensional time-fractional coupled Burger’s equation	3
Fractional integral related to Schrödinger operator on vanishing generalized mixed Morrey spaces	3
On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation	3
Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms	2
Identification of the bulk modulus coefficient in the acoustic equation from boundary observation: a sentinel method	2
Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators	2
Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread	2
Some notes on conformable fractional Sturm–Liouville problems	2
Existence and multiplicity of solutions for $p(x)$-Laplacian problem with Steklov boundary condition	2
Fractional magnetohydrodynamic Casson fluid flow with thermal radiation and buoyancy effects: a constant proportional Caputo model	2
Generalized strongly n-polynomial convex functions and related inequalities	2
Multipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions	2
Advanced neural network approaches for coupled equations with fractional derivatives	2
A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation	2
Existence results to a Leray–Lions type problem on the Heisenberg Lie groups	2
Existence results for coupled sequential ψ-Hilfer fractional impulsive BVPs: topological degree theory approach	2
A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law	2
Qualitative analysis of a prey–predator model with prey refuge and intraspecific competition among predators	2
Optimal control for a chemotaxis–haptotaxis model in two space dimensions	2
Stochastic analysis and soliton solutions of the Chaffee–Infante equation in nonlinear optical media	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
High perturbations of a new Kirchhoff problem involving the p-Laplace operator	2
Positive continuous solutions for some semilinear elliptic problems in the half space	2
Three positive solutions for a nonlinear partial discrete Dirichlet problem with $(p,q)$-Laplacian operator	2
Boundary value problems for second-order causal differential equations	2
Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions	2
An inhomogeneous perturbation for a class of nonlinear scalar field equations	2
Blow-up of solution to semilinear wave equations with strong damping and scattering damping	2
Existence and nonexistence of solutions for an approximation of the Paneitz problem on spheres	2
Two-phase heat conduction problems with Sturm-type boundary conditions	2
Multiple solutions for a quasilinear Schrödinger–Poisson system	2
On generalized $(k,\psi )$-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem	2
Competing anisotropic and Finsler $(p,q)$-Laplacian problems	2
Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases	2
Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity	2
Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term	2
Impulsive coupled systems with regular and singular ϕ-Laplacians and generalized jump conditions	2
Determination of rigid inclusions immersed in an isotropic elastic body from boundary measurement	2
$(\omega ,c)$-periodic solutions for a class of fractional integrodifferential equations	2
Normal periodic solutions for the fractional abstract Cauchy problem	2
A coupled complex mKdV equation and its N-soliton solutions via the Riemann–Hilbert approach	2
Bifurcations, chaotic behavior, sensitivity analysis, and various soliton solutions for the extended nonlinear Schrödinger equation	2
Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev–Hardy critical exponent	2
Two modified shifted Chebyshev–Galerkin operational matrix methods for even-order partial boundary value problems	2
Model boundary value problem for the Helmholtz equation in a nonconvex angle with periodic boundary data	2
On the study of three-dimensional compressible Navier–Stokes equations	2
A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus	2
On the analytical and numerical study for fractional q-integrodifferential equations	2
Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces	1
Multiplicity of positive periodic solutions to third-order variable coefficients singular dynamical systems	1
Existence and stability analysis for Caputo generalized hybrid Langevin differential systems involving three-point boundary conditions	1
Minimax optimal control problems for an extensible beam equation with uncertain initial velocity	1
Almost sure exponential stability of nonlinear stochastic delay hybrid systems driven by G-Brownian motion	1
Modeling enteric fever transmission dynamics: a comparative analysis of local and nonlocal boundary value approaches	1
Optimal decay-in-time rates of solutions to the Cauchy problem of 3D compressible magneto-micropolar fluids	1
Nonnegative nontrivial solutions for a class of $p(x)$-Kirchhoff equation involving concave-convex nonlinearities	1
New generalized Jacobi–Galerkin operational matrices of derivatives: an algorithm for solving the time-fractional coupled KdV equations	1
A Stackelberg reinsurance-investment game with derivatives trading	1
Ground-state sign-changing homoclinic solutions for a discrete nonlinear p-Laplacian equation with logarithmic nonlinearity	1
A class of Schrödinger elliptic equations involving supercritical exponential growth	1
Analysis of Caputo fractional variable order multi-point initial value problems: existence, uniqueness, and stability	1

Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative	1
Non-Newtonian nanofluid flow across an exponentially stretching sheet with viscous dissipation: numerical study using an SCM based on Appell–Changhee polynomials	1
Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term	1
On a class of a coupled nonlinear viscoelastic Kirchhoff equations variable-exponents: global existence, blow up, growth and decay of solutions	1
Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	1
Arbitrary decay for a von Karman system with memory	1
Existence of positive solutions for a class of p-Laplacian fractional differential equations with nonlocal boundary conditions	1
Existence and asymptotic properties of singular solutions of nonlinear elliptic equations in $R^{n}\backslash\{0\}$	1
Persistence properties and blow-up phenomena for a generalized Camassa–Holm equation	1
Existence and multiplicity of solutions for fractional $p_{1}(x,\cdot )\& p_{2}(x,\cdot )$-Laplacian Schrödinger-type equations with Robin boundary conditions	1
Existence of positive solutions for a class of singular elliptic problems with convection term and critical exponential growth	1
Retraction Note: New applications of Schrödingerean Green potential to boundary behaviors of superharmonic functions	1
Ground state solutions for elliptic Kirchhoff–Boussinesq type problems with supercritical exponential growth	1
Existence of the positive solutions for boundary value problems of mixed differential equations involving the Caputo and Riemann–Liouville fractional derivatives	1
Multiple solutions for singular semipositone boundary value problems of fourth-order differential systems with parameters	1
Caputo fractional backward stochastic differential equations driven by fractional Brownian motion with delayed generator	1
The partial boundary value conditions of nonlinear degenerate parabolic equation	1
Uniform stability of a strong time-delayed viscoelastic system with Balakrishnan–Taylor damping	1
Correctness conditions for high-order differential equations with unbounded coefficients	1
Advancing numerical solutions for a system of singularly perturbed delay differential equations at linear rate	1
Existence of ground state solutions for a class of Choquard equations with local nonlinear perturbation and variable potential	1
A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations	1
Analysis of a hybrid integro-differential inclusion	1
Direct and inverse problems for nonlocal heat equation with boundary conditions of periodic type	1
A novel quintic B-spline technique for numerical solution of fourth-order singularly-perturbed boundary value problems with discontinuous source terms	1
Nonlinear differential equations with perturbed Dirichlet integral boundary conditions	1
New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals	1
Spectral element discretization of the time-dependent Stokes problem with nonstandard boundary conditions	1
An effective numerical method for solving fractional delay differential equations using fractional-order Chelyshkov functions	1
Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions	1
A faster iterative method for solving nonlinear third-order BVPs based on Green’s function	1
Strong solution of 3D generalized Navier–Stokes equations with damping	1
Periodic solutions for second-order even and noneven Hamiltonian systems	1
Existence and multiplicity of periodic solutions for a nonlinear resonance equation with singularities	1
Inverse problem for cracked inhomogeneous Kirchhoff–Love plate with two hinged rigid inclusions	1
Optimal time-decay rates of the Keller–Segel system coupled to compressible Navier–Stokes equation in three dimensions	1
Small-convection limit for two-dimensional chemotaxis-Navier–Stokes system with logarithmic sensitivity and logistic-type source	1
Novel computations of the time-fractional chemical Schnakenberg mathematical model via non-singular kernel operators	1
Boundedness in a two-dimensional chemotaxis system with signal-dependent motility and logistic source	1
Fractional B-spline collocation method for the numerical solution of the fractional pantograph differential equations	1
Analysis of hybrid fractional differential equations with nonlocal boundary conditions and linear perturbations	1
On a viscous fourth-order parabolic equation with boundary degeneracy	1
Boundary value problems of quaternion-valued differential equations: solvability and Green’s function	1
Simpson-type inequalities for the functions with bounded second derivatives involving generalized fractional integrals	1
Well posedness of a nonlinear mixed problem for a parabolic equation with integral condition	1
Analysis of a free boundary problem modeling spherically symmetric tumor growth with angiogenesis and a periodic supply of nutrients	1
Hybrid cubic and hyperbolic b-spline collocation methods for solving fractional Painlevé and Bagley-Torvik equations in the Conformable, Caputo and Caputo-Fabrizio fractional derivatives	1
Existence of solutions for a class of asymptotically linear fractional Schrödinger equations	1
Nonexistence of positive solutions for the weighted higher-order elliptic system with Navier boundary condition	1
On the singular-hybrid type of the Langevin fractional differential equation with a numerical approach	1
Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current	1
General decay for a viscoelastic von Karman equation with delay and variable exponent nonlinearities	1
Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity	1
Existence of normalized solutions for Schrödinger systems with linear and nonlinear couplings	1
Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions	1
Novel exact solutions for PDEs with mixed boundary conditions	1
Solvability of a moving contact-line problem with interface formation for an incompressible viscous fluid	1
A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality	1
Utilizing fractional derivatives and sensitivity analysis in a random framework: a model-based approach to the investigation of random dynamics of malware spread	1
Ground state solutions for a kind of superlinear elliptic equations with variable exponent	1
Index theory and multiple solutions for asymptotically linear second-order delay differential equations	1
Modeling two-phase gas-solid flow in axisymmetric diffusers using cut cell technique: an Eulerian-Eulerian approach	1
Spatiotemporal dynamics in a delayed diffusive predator–prey system with nonlocal competition in prey and schooling behavior among predators	1
A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers–Ulam stability	1
An inverse boundary value problem for transverse vibrations of a bar	1
Existence of positive solutions for Lidstone boundary value problems on time scales	1
Stability and boundedness of solutions to a certain third-order neutral integro-differential equation with constant delay	1
The Robin problems for the coupled system of reaction–diffusion equations	1
Time accurate solution to Benjamin–Bona–Mahony–Burgers equation via Taylor–Boubaker series scheme	1
Nonlinear Markov branching processes with immigration and resurrection	1
A finite element approach to the Keller–Segel Chemotaxis system with impact of nonlocal diffusion	1
Gradient estimates for a class of elliptic equations with logarithmic terms	1
Analysis of multipoint impulsive problem of fractional-order differential equations	1
New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem	0
New results on fractional advection–dispersion equations	0
Existence and uniqueness of solutions for multi-order fractional differential equations with integral boundary conditions	0
Space-time non-local analysis of a porous thermoelastic hollow cylinder using a heat conduction model featuring a Goufo-Caputo two-parameter fractional derivative with phase lags	0
Parameterized inequalities based on three times differentiable functions	0
Nonexistence results of solutions of parabolic-type equations and systems on the Heisenberg group	0
Infinitely many solutions for quasilinear Schrödinger equation with general superlinear nonlinearity	0
Adopted spectral tau approach for the time-fractional diffusion equation via seventh-kind Chebyshev polynomials	0
Ulam stability of first-order nonlinear impulsive dynamic equations	0
Blow-up for a viscoelastic von Karman equation with strong damping and variable exponent source terms	0
Solutions for a category of singular nonlinear fractional differential equations subject to integral boundary conditions	0
Global weak solutions to a nonlinear equation with fourth order nonlinearities	0
Multiple positive solutions of fractional differential equations with improper integral boundary conditions on the half-line	0
A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain	0
Asymptotic stability in a predator-prey system with density-dependent diffusion and indirect pursuit-evasion interaction in 2D	0
Extinction behavior and recurrence of n-type Markov branching–immigration processes	0
On the boundary value conditions of evolutionary $p_{i}$-Laplacian equation	0
Infinitely many solutions for the discrete Schrödinger equations with a nonlocal term	0
A class of biharmonic nonlocal quasilinear systems consisting of Leray–Lions type operators with Hardy potentials	0
Turing instability in a modified cross-diffusion Leslie–Gower predator–prey model with Beddington–DeAngelis functional response	0
An elliptic problem of the Prandtl–Batchelor type with a singularity	0
Scattering threshold for a focusing inhomogeneous non-linear Schrödinger equation with inverse square potential	0