Boundary Value Problems

Article	Citations
A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions	194
New analytical method based on dynamic response of planar mechanical elastic systems	73
On a system of fractional q-differential inclusions via sum of two multi-term functions on a time scale	39
Analysis of multipoint impulsive problem of fractional-order differential equations	29
On a new structure of the pantograph inclusion problem in the Caputo conformable setting	28
Existence of positive radial solution for Neumann problem on the Heisenberg group	22
A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers–Ulam stability	20
Global existence and exponential decay of solutions for generalized coupled non-degenerate Kirchhoff system with a time varying delay term	20
Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion	19
Mathematical analysis of nonlinear integral boundary value problem of proportional delay implicit fractional differential equations with impulsive conditions	16
Solving systems of coupled nonlinear Atangana–Baleanu-type fractional differential equations	16
Three solutions for a partial discrete Dirichlet boundary value problem with p-Laplacian	15
Existence of a mountain pass solution for a nonlocal fractional $(p, q)$-Laplacian problem	15
Qualitative analysis of nonlinear coupled pantograph differential equations of fractional order with integral boundary conditions	15
Existence of solutions for tripled system of fractional differential equations involving cyclic permutation boundary conditions	14
Stability for generalized Caputo proportional fractional delay integro-differential equations	12
Stability result of a viscoelastic plate equation with past history and a logarithmic nonlinearity	12
Study of impulsive fractional differential equation under Robin boundary conditions by topological degree method	11
Boundary shape function method for nonlinear BVP, automatically satisfying prescribed multipoint boundary conditions	11
Implicit nonlinear fractional differential equations of variable order	11
The existence of solutions for Sturm–Liouville differential equation with random impulses and boundary value problems	10
Existence and stability results for nonlocal boundary value problems of fractional order	10
Attractors for the nonclassical reaction–diffusion equations on time-dependent spaces	10
Multiplicity of positive solutions for Hadamard fractional differential equations with p-Laplacian operator	9
Global existence and exponential stability of coupled Lamé system with distributed delay and source term without memory term	9

On the existence of three solutions of Dirichlet fractional systems involving the p-Laplacian with Lipschitz nonlinearity	8
A note on singular two-dimensional fractional coupled Burgers’ equation and triple Laplace Adomian decomposition method	8
The sub-supersolution method for a nonhomogeneous elliptic equation involving Lebesgue generalized spaces	8
On a new fractional Sobolev space with variable exponent on complete manifolds	8
Multiplicity of solutions for a class of fractional $p(x,\cdot )$-Kirchhoff-type problems without the Ambrosetti–Rabinowitz condition	8
Multiple solutions for a class of nonlocal quasilinear elliptic systems in Orlicz–Sobolev spaces	8
Existence of a random attractor for non-autonomous stochastic plate equations with additive noise and nonlinear damping on $\mathbb{R}^{n}$	8
Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative	7
How far does logistic dampening influence the global solvability of a high-dimensional chemotaxis system?	7
Some properties of implicit impulsive coupled system via φ-Hilfer fractional operator	6
General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms	6
Nonlinear nonhomogeneous Dirichlet problems with singular and convection terms	6
Existence and multiplicity of solutions for $p(x)$-Laplacian problem with Steklov boundary condition	6
General decay for a viscoelastic von Karman equation with delay and variable exponent nonlinearities	6
Structural stability for the Boussinesq equations interfacing with Darcy equations in a bounded domain	6
Existence of nontrivial solutions for fractional Schrödinger equations with electromagnetic fields and critical or supercritical nonlinearity	5
Asymptotic behavior for a viscoelastic Kirchhoff equation with distributed delay and Balakrishnan–Taylor damping	5
Existence and multiplicity of solutions for Schrödinger–Kirchhoff type problems involving the fractional $p(\cdot )$-Laplacian in $\mathbb{R}^{N}$	5
Existence of solution for a resonant p-Laplacian second-order m-point boundary value problem on the half-line with two dimensional kernel	5
Nonnegative solution of a class of double phase problems with logarithmic nonlinearity	5
Local solvability and stability of the inverse problem for the non-self-adjoint Sturm–Liouville operator	5
Nonlocal boundary value problems for ψ-Hilfer fractional-order Langevin equations	5
On qualitative analysis of boundary value problem of variable order fractional delay differential equations	5
Controllability of fractional evolution systems of Sobolev type via resolvent operators	5
A periodic boundary value problem with switchings under nonlinear perturbations	5
A weak solution for a $(p(x),q(x))$-Laplacian elliptic problem with a singular term	5
Well-posedness and behaviors of solutions to an integrable evolution equation	4
A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality	4
Solutions for a category of singular nonlinear fractional differential equations subject to integral boundary conditions	4
Three new approaches for solving a class of strongly nonlinear two-point boundary value problems	4
Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity	4
A study on controllability of impulsive fractional evolution equations via resolvent operators	4
The existence of nontrivial solution of a class of Schrödinger–Bopp–Podolsky system with critical growth	4
Steady state for a predator–prey cross-diffusion system with the Beddington–DeAngelis and Tanner functional response	4
On the fractional partial integro-differential equations of mixed type with non-instantaneous impulses	4
Time accurate solution to Benjamin–Bona–Mahony–Burgers equation via Taylor–Boubaker series scheme	4
Spectral discretization of time-dependent vorticity–velocity–pressure formulation of the Navier–Stokes equations	4
Properties of solutions to fractional p-subLaplace equations on the Heisenberg group	4
New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem	4
Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions	4
Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread	4
Global and blow-up solutions for a nonlinear reaction diffusion equation with Robin boundary conditions	4
Existence–uniqueness and monotone iteration of positive solutions to nonlinear tempered fractional differential equation with p-Laplacian operator	3
The dual eigenvalue problems of the conformable fractional Sturm–Liouville problems	3
Normalized solutions for a coupled fractional Schrödinger system in low dimensions	3
On some qualitative results in thermodynamics of Cosserat bodies	3
On resonant mixed Caputo fractional differential equations	3
Dynamics and oscillations of models for differential equations with delays	3
Hopf bifurcation in a delayed reaction–diffusion–advection equation with ideal free dispersal	3
The entropy weak solution to a generalized Fornberg–Whitham equation	3

Some notes on conformable fractional Sturm–Liouville problems	3
Existence and uniqueness of finite beam deflection on nonlinear non-uniform elastic foundation with arbitrary well-posed boundary condition	3
Existence of a strong solution to moist atmospheric equations with the effects of topography	3
Existence-uniqueness of positive solutions to nonlinear impulsive fractional differential systems and optimal control	3
Infinitely many solutions for the discrete Schrödinger equations with a nonlocal term	3
Variational approach to instantaneous and noninstantaneous impulsive system of differential equations	3
Multiplicity of solutions for an anisotropic variable exponent problem	3
A general stability result for second order stochastic quasilinear evolution equations with memory	3
A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations	3
Existence of solutions for functional boundary value problems at resonance on the half-line	3
Approximate solutions for HBV infection with stability analysis using LHAM during antiviral therapy	3
Some results on stability and continuous dependence in Green-Naghdi thermoelasticity of Cosserat bodies	3
Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations	3
Nonstandard competing anisotropic $(p,q)$-Laplacians with convolution	3
Analysis of a hybrid integro-differential inclusion	3
Nonlinear differential equations with perturbed Dirichlet integral boundary conditions	3
Direct and inverse problems for nonlocal heat equation with boundary conditions of periodic type	3
On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime	3
Uniqueness and concentration for a fractional Kirchhoff problem with strong singularity	3
Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias	3
Analysis of a time-delayed free boundary problem for solid tumor growth with angiogenesis and direct influence of inhibitors	3
Multiple solutions for singular semipositone boundary value problems of fourth-order differential systems with parameters	3
Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term	2
Generalized fractional calculus in Banach spaces and applications to existence results for boundary value problems	2
On global classical solutions to one-dimensional compressible Navier–Stokes/Allen–Cahn system with density-dependent viscosity and vacuum	2
Elliptic problem driven by different types of nonlinearities	2
A faster iterative method for solving nonlinear third-order BVPs based on Green’s function	2
A new method for high-order boundary value problems	2
High perturbations of a new Kirchhoff problem involving the p-Laplace operator	2
Existence and multiplicity of nontrivial solutions for poly-Laplacian systems on finite graphs	2
Obstacle detection in fluid flow using asymptotic analysis technique	2
Three positive solutions for a nonlinear partial discrete Dirichlet problem with $(p,q)$-Laplacian operator	2
A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus	2
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient	2
Infinitely many homoclinic solutions for sublinear and nonperiodic Schrödinger lattice systems	2
On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation	2
A relation-theoretic set-valued version of Prešić-Ćirić theorem and applications	2
Existence of least energy nodal solution for Kirchhoff–Schrödinger–Poisson system with potential vanishing	2
Application of C-Bézier and H-Bézier basis functions to numerical solution of convection-diffusion equations	2
Solvability of a moving contact-line problem with interface formation for an incompressible viscous fluid	2
Analysis of the magneto-thermoelastic vibrations of rotating Euler–Bernoulli nanobeams using the nonlocal elasticity model	2
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients	2
On a nonlocal implicit problem under Atangana–Baleanu–Caputo fractional derivative	2
Multivalued nonmonotone dynamic boundary condition	2
Existence and uniqueness criterion of a periodic solution for a third-order neutral differential equation with multiple delay	2
A fast multiscale Galerkin algorithm for solving boundary value problem of the fractional Bagley–Torvik equation	2
Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques	2
Nontrivial solutions of a class of fractional differential equations with p-Laplacian via variational methods	2
A class of Schrödinger elliptic equations involving supercritical exponential growth	2
Ulam stability of first-order nonlinear impulsive dynamic equations	2
The Neumann problem for a class of generalized Kirchhoff-type potential systems	2
On the asymptotic behavior of solutions of anisotropic viscoelastic body	2
Lower bound for the blow-up time for a general nonlinear nonlocal porous medium equation under nonlinear boundary condition	2
The first initial-boundary value problem of parabolic Monge–Ampère equations outside a bowl-shaped domain	2
Dynamic analysis of a stochastic four species food-chain model with harvesting and distributed delay	2
Existence result for a Kirchhoff elliptic system with variable parameters and additive right-hand side via sub- and supersolution method	2
On the analytical and numerical study for fractional q-integrodifferential equations	2
Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term	2
Identification of the bulk modulus coefficient in the acoustic equation from boundary observation: a sentinel method	1
Multiple solutions for a quasilinear Schrödinger–Poisson system	1
Free convection inside a porous square cavity with convective boundary condition using spline functions	1
Numerical solution of Bratu’s boundary value problem based on Green’s function and a novel iterative scheme	1
Global weak solutions to a nonlinear equation with fourth order nonlinearities	1
New oscillation criteria for second-order neutral differential equations with distributed deviating arguments	1
Analysis of stochastic neutral fractional functional differential equations	1
Existence and stability analysis for Caputo generalized hybrid Langevin differential systems involving three-point boundary conditions	1
Existence of ground state solutions for quasilinear Schrödinger equations with general Choquard type nonlinearity	1
Existence of positive solutions for p-Laplacian boundary value problems of fractional differential equations	1
Resolution and implementation of the nonstationary vorticity velocity pressure formulation of the Navier–Stokes equations	1
Nonnegative nontrivial solutions for a class of $p(x)$-Kirchhoff equation involving concave-convex nonlinearities	1
Inverse problem for cracked inhomogeneous Kirchhoff–Love plate with two hinged rigid inclusions	1
The principal eigenvalue of some nth order linear boundary value problems	1
Nonlinear fractional differential equation involving two mixed fractional orders with nonlocal boundary conditions and Ulam–Hyers stability	1
Bifurcation curves and exact multiplicity of positive solutions for Dirichlet problems with the Minkowski-curvature equation	1
Ground state solutions for Kirchhoff-type equations with general nonlinearity in low dimension	1
Initial boundary value problem for a class of higher-order n-dimensional nonlinear pseudo-parabolic equations	1
On a doubly degenerate parabolic equation with a nonlinear damping term	1
Boundary value conditions for linear differential equations with power degenerations	1
Second-order impulsive differential systems of mixed type: oscillation theorems	1
Numerical simulation for a class of predator–prey system with homogeneous Neumann boundary condition based on a sinc function interpolation method	1

The nonnegative weak solution of a degenerate parabolic equation with variable exponent growth order	1
The global dynamics for an age-structured SLIS model with the delay	1
Application of the Elzaki iterative method to fractional partial differential equations	1
RETRACTED ARTICLE: Existence of global solutions to a quasilinear Schrödinger equation with general nonlinear optimal control conditions	1
Numerical resolution of the wave equation using the spectral method	1
Multiple solutions for a class of anisotropic p⃗-Laplacian problems	1
New general decay result for a system of two singular nonlocal viscoelastic equations with general source terms and a wide class of relaxation functions	1
Nonlocal Lazer–McKenna-type problem perturbed by the Hardy’s potential and its parabolic equivalence	1
Fitted numerical method for singularly perturbed Burger–Huxley equation	1
On the critical behavior for time-fractional pseudo-parabolic-type equations with combined nonlinearities	1
Blow-up for a viscoelastic von Karman equation with strong damping and variable exponent source terms	1
Structural stability for the Forchheimer equations interfacing with a Darcy fluid in a bounded region in $\mathbb{R}^{3}$	1
Bifurcation mechanism and hybrid control strategy of a finance model with delays	1
Nonexistence and existence of positive radial solutions to a class of quasilinear Schrödinger equations in $\mathbb{R}^{N}$	1
Global dynamics for an SVEIR epidemic model with diffusion and nonlinear incidence rate	1
Regularity criterion for 3D nematic liquid crystal flows in terms of finite frequency parts in $\dot{B}_{\infty,\infty }^{-1}$	1
On positive solutions of second-order delayed differential system with indefinite weight	1
An oscillation theorem for the nonlinear degenerate elliptic equation in the Heisenberg group	1
Qualitative analysis of a prey–predator model with prey refuge and intraspecific competition among predators	1
Mixed Cauchy problem with lateral boundary condition for noncharacteristic degenerate hyperbolic equations	1
Solvability and Volterra property of nonlocal problems for mixed fractional-order diffusion-wave equation	1
Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses	1
Singularly perturbed quasilinear Choquard equations with nonlinearity satisfying Berestycki–Lions assumptions	1
Analysis of mathematical model involving nonlinear systems of Caputo–Fabrizio fractional differential equation	1
Existence and stability analysis for a class of fractional pantograph q-difference equations with nonlocal boundary conditions	1
Turing instability in a modified cross-diffusion Leslie–Gower predator–prey model with Beddington–DeAngelis functional response	1
Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses	1
Pullback attractor of a non-autonomous order-2γ parabolic equation for an epitaxial thin film growth model	1
Multiplicity and existence of solutions for generalized quasilinear Schrödinger equations with sign-changing potentials	1
On fractional order multiple integral transforms technique to handle three dimensional heat equation	1
Existence of solution for a quasilinear elliptic Neumann problem involving multiple critical exponents	1
Multiplicity results involving p-biharmonic Kirchhoff-type problems	1
Affine-periodic solutions by asymptotic and homotopy equivalence	1
Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	1
Regularity and uniqueness for the 3D compressible magnetohydrodynamic equations	1
On the numerical solutions of two-dimensional scattering problems for an open arc	1
Ground state and nodal solutions for critical Kirchhoff–Schrödinger–Poisson systems with an asymptotically 3-linear growth nonlinearity	1
Multiple solutions for fractional p-Laplace equation with concave-convex nonlinearities	1
Global regularity of 2D MHD equations with almost Laplacian velocity dissipation	1
Long-time behavior of solutions for a fractional diffusion problem	1
Global attractors for Kirchhoff wave equation with nonlinear damping and memory	1
Uniform stability of a strong time-delayed viscoelastic system with Balakrishnan–Taylor damping	1
The applications of Sobolev inequalities in proving the existence of solution of the quasilinear parabolic equation	1
Traveling wave solutions for a class of reaction-diffusion system	1
Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations	1
Fractional evolution equation with Cauchy data in $L^{p}$ spaces	1
Existence of solutions for a class of Kirchhoff-type equations with indefinite potential	1
Positive ground states for nonlinearly coupled Choquard type equations with lower critical exponents	1
On the existence of nontrivial solutions for quasilinear Schrödinger systems	1
Null controllability of a semilinear degenerate parabolic equation with a gradient term	1
Radial solutions for fully nonlinear elliptic equations of Monge–Ampère type	1
Dynamics and stationary distribution of a stochastic SIRS epidemic model with a general incidence and immunity	1
Existence of ground state solutions for a class of Choquard equations with local nonlinear perturbation and variable potential	1
Legendre spectral collocation method for distributed and Riesz fractional convection–diffusion and Schrödinger-type equation	1
The asymptotic behavior of the stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau equations	1
Response solution to complex Ginzburg–Landau equation with quasi-periodic forcing of Liouvillean frequency	1
Spatiotemporal dynamics in a delayed diffusive predator–prey system with nonlocal competition in prey and schooling behavior among predators	1
Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation	1
Non-Newtonian nanofluid flow across an exponentially stretching sheet with viscous dissipation: numerical study using an SCM based on Appell–Changhee polynomials	1
Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions	1
A note on global existence of strong solution to the 3D micropolar equations with a damping term	1
Blow-up criterion for the density dependent inviscid Boussinesq equations	1
General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions	1
Ground state solutions and infinitely many solutions for a nonlinear Choquard equation	1
Multiplicity results for sublinear elliptic equations with sign-changing potential and general nonlinearity	1
Unique iterative solution for high-order nonlinear fractional q-difference equation based on $\psi -(h,r)$-concave operators	1
Existence and stability results for nonlinear fractional integrodifferential coupled systems	1
Wave propagation in a diffusive SEIR epidemic model with nonlocal transmission and a general nonlinear incidence rate	1
Quasilinear asymptotically periodic Schrödinger–Poisson system with subcritical growth	1
Coupled elliptic systems depending on the gradient with nonlocal BCs in exterior domains	1
Dynamic analysis of a complex system under preemptive repeat repair discipline	1
Nonexistence of interior bubbling solutions for slightly supercritical elliptic problems	1
Analysis of reaction–diffusion systems where a parameter influences both the reaction terms as well as the boundary	1
Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations	1
Infinitely many positive solutions for a double phase problem	1
Bifurcations, chaotic behavior, sensitivity analysis, and various soliton solutions for the extended nonlinear Schrödinger equation	1
New multiplicity of positive solutions for some class of nonlocal problems	1
Existence of positive solutions to negative power nonlinear integral equations with weights	1
The exterior Dirichlet problems of Monge–Ampère equations in dimension two	1
Existence of infinitely many solutions for a p-Kirchhoff problem in RN	1
Correctness conditions for high-order differential equations with unbounded coefficients	1
On Neumann problem for the degenerate Monge–Ampère type equations	1
Optimal harvesting strategies of a stochastic competitive model with S-type distributed time delays and Lévy jumps	1
Hopf bifurcation analysis of nonlinear HIV infection model and the effect of delayed immune response with drug therapies	1
Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms	1
Two solutions to Kirchhoff-type fourth-order implusive elastic beam equations	0
Optimal time-decay rates of the Keller–Segel system coupled to compressible Navier–Stokes equation in three dimensions	0
Existence and concentration of positive solutions for a class of discontinuous quasilinear Schrödinger problems in $\mathbb{R}^{N}$	0
An elliptic problem of the Prandtl–Batchelor type with a singularity	0
Kohn–Vogelius formulation for plasma geometry identification problem	0
Retraction Note: A remark on the a-minimally thin sets associated with the Schrödinger operator	0
Arbitrary decay for a von Karman system with memory	0
On strong singular fractional version of the Sturm–Liouville equation	0
Positive periodic solution for prescribed mean curvature generalized Liénard equation with a singularity	0
On global dynamics of 2D convective Cahn–Hilliard equation	0