Boundary Value Problems

Article	Citations
Analysis of multipoint impulsive problem of fractional-order differential equations	35
On a new structure of the pantograph inclusion problem in the Caputo conformable setting	28
Solving systems of coupled nonlinear Atangana–Baleanu-type fractional differential equations	23
A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers–Ulam stability	21
Bifurcations, chaotic behavior, sensitivity analysis, and various soliton solutions for the extended nonlinear Schrödinger equation	20
Mathematical analysis of nonlinear integral boundary value problem of proportional delay implicit fractional differential equations with impulsive conditions	16
Three solutions for a partial discrete Dirichlet boundary value problem with p-Laplacian	15
Stability for generalized Caputo proportional fractional delay integro-differential equations	15
Existence and stability results for nonlocal boundary value problems of fractional order	14
The existence of solutions for Sturm–Liouville differential equation with random impulses and boundary value problems	12
Implicit nonlinear fractional differential equations of variable order	12
Asymptotic behavior for a viscoelastic Kirchhoff equation with distributed delay and Balakrishnan–Taylor damping	11
Global existence and exponential stability of coupled Lamé system with distributed delay and source term without memory term	10
A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality	10
The sub-supersolution method for a nonhomogeneous elliptic equation involving Lebesgue generalized spaces	9
A weak solution for a $(p(x),q(x))$-Laplacian elliptic problem with a singular term	9
Nonnegative solution of a class of double phase problems with logarithmic nonlinearity	9
Existence and multiplicity of solutions for $p(x)$-Laplacian problem with Steklov boundary condition	9
Nonstandard competing anisotropic $(p,q)$-Laplacians with convolution	8
Multiple solutions for a class of nonlocal quasilinear elliptic systems in Orlicz–Sobolev spaces	8
How far does logistic dampening influence the global solvability of a high-dimensional chemotaxis system?	8
Some properties of implicit impulsive coupled system via φ-Hilfer fractional operator	8
On a new fractional Sobolev space with variable exponent on complete manifolds	8
Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques	8
General decay for a viscoelastic von Karman equation with delay and variable exponent nonlinearities	7

Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations	7
Time accurate solution to Benjamin–Bona–Mahony–Burgers equation via Taylor–Boubaker series scheme	7
The existence, uniqueness, and stability results for a nonlinear coupled system using ψ-Caputo fractional derivatives	7
Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative	7
On qualitative analysis of boundary value problem of variable order fractional delay differential equations	6
General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms	6
Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions	6
A periodic boundary value problem with switchings under nonlinear perturbations	6
Existence and stability of a q-Caputo fractional jerk differential equation having anti-periodic boundary conditions	6
A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations	6
Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations	6
A study on controllability of impulsive fractional evolution equations via resolvent operators	5
Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread	5
Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias	5
Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions	5
Structural stability for the Boussinesq equations interfacing with Darcy equations in a bounded domain	5
Nonlocal boundary value problems for ψ-Hilfer fractional-order Langevin equations	5
On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime	5
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients	5
Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity	5
New generalized Halanay inequalities and relative applications to neural networks with variable delays	4
New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem	4
Steady state for a predator–prey cross-diffusion system with the Beddington–DeAngelis and Tanner functional response	4
Direct and inverse problems for nonlocal heat equation with boundary conditions of periodic type	4
A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus	4
The dual eigenvalue problems of the conformable fractional Sturm–Liouville problems	4
The Neumann problem for a class of generalized Kirchhoff-type potential systems	4
Analysis of a hybrid integro-differential inclusion	4
On the existence of nontrivial solutions for quasilinear Schrödinger systems	4
Analysis of stochastic neutral fractional functional differential equations	4
Generalized fractional calculus in Banach spaces and applications to existence results for boundary value problems	4
Solutions for a category of singular nonlinear fractional differential equations subject to integral boundary conditions	4
Multiplicity of solutions for an anisotropic variable exponent problem	4
Existence and multiplicity of nontrivial solutions for poly-Laplacian systems on finite graphs	4
Variational approach to instantaneous and noninstantaneous impulsive system of differential equations	3
A new method for high-order boundary value problems	3
Existence of triple solutions for elliptic equations driven by p-Laplacian-like operators with Hardy potential under Dirichlet–Neumann boundary conditions	3
Identification of the bulk modulus coefficient in the acoustic equation from boundary observation: a sentinel method	3
Uniqueness and concentration for a fractional Kirchhoff problem with strong singularity	3
Multiple solutions for singular semipositone boundary value problems of fourth-order differential systems with parameters	3
A class of Schrödinger elliptic equations involving supercritical exponential growth	3
Elliptic problem driven by different types of nonlinearities	3
Infinitely many solutions for the discrete Schrödinger equations with a nonlocal term	3
Solvability of a moving contact-line problem with interface formation for an incompressible viscous fluid	3
High perturbations of a new Kirchhoff problem involving the p-Laplace operator	3
Hopf bifurcation in a delayed reaction–diffusion–advection equation with ideal free dispersal	3
Three new approaches for solving a class of strongly nonlinear two-point boundary value problems	3
Multivalued nonmonotone dynamic boundary condition	3
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient	3
An application of artificial neural networks for solving fractional higher-order linear integro-differential equations	3

A note on inhomogeneous fractional Schrödinger equations	3
A faster iterative method for solving nonlinear third-order BVPs based on Green’s function	3
Higher-order p-Laplacian boundary value problems with resonance of dimension two on the half-line	3
Existence and stability results for nonlinear fractional integrodifferential coupled systems	3
Optimal control for a chemotaxis–haptotaxis model in two space dimensions	3
Fitted numerical method for singularly perturbed Burger–Huxley equation	3
Some notes on conformable fractional Sturm–Liouville problems	3
Some results on stability and continuous dependence in Green-Naghdi thermoelasticity of Cosserat bodies	3
Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses	3
Nonlinear differential equations with perturbed Dirichlet integral boundary conditions	3
Analysis of the magneto-thermoelastic vibrations of rotating Euler–Bernoulli nanobeams using the nonlocal elasticity model	2
On the noncooperative Schrödinger–Kirchhoff system involving the critical nonlinearities on the Heisenberg group	2
Solvability and Volterra property of nonlocal problems for mixed fractional-order diffusion-wave equation	2
Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity	2
Three positive solutions for a nonlinear partial discrete Dirichlet problem with $(p,q)$-Laplacian operator	2
Existence of positive solutions for p-Laplacian boundary value problems of fractional differential equations	2
New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals	2
Ulam stability of first-order nonlinear impulsive dynamic equations	2
Singularly perturbed quasilinear Choquard equations with nonlinearity satisfying Berestycki–Lions assumptions	2
Traveling wave solutions for a class of reaction-diffusion system	2
Infinitely many homoclinic solutions for sublinear and nonperiodic Schrödinger lattice systems	2
Qualitative analysis of a prey–predator model with prey refuge and intraspecific competition among predators	2
Existence and uniqueness of solutions for multi-order fractional differential equations with integral boundary conditions	2
On the asymptotic behavior of solutions of anisotropic viscoelastic body	2
A class of biharmonic nonlocal quasilinear systems consisting of Leray–Lions type operators with Hardy potentials	2
Positive ground states for nonlinear Schrödinger–Kirchhoff equations with periodic potential or potential well in $\mathbf{R}^{3}$	2
On a nonlocal implicit problem under Atangana–Baleanu–Caputo fractional derivative	2
Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation	2
Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential	2
Multiple solutions for a class of anisotropic p⃗-Laplacian problems	2
A relation-theoretic set-valued version of Prešić-Ćirić theorem and applications	2
Numerical solution of Bratu’s boundary value problem based on Green’s function and a novel iterative scheme	2
Blow-up for a viscoelastic von Karman equation with strong damping and variable exponent source terms	2
Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term	2
Existence and stability analysis for Caputo generalized hybrid Langevin differential systems involving three-point boundary conditions	2
On global classical solutions to one-dimensional compressible Navier–Stokes/Allen–Cahn system with density-dependent viscosity and vacuum	2
On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation	2
Application of C-Bézier and H-Bézier basis functions to numerical solution of convection-diffusion equations	2
Analysis of mathematical model involving nonlinear systems of Caputo–Fabrizio fractional differential equation	2
On some qualitative results in thermodynamics of Cosserat bodies	2
The first initial-boundary value problem of parabolic Monge–Ampère equations outside a bowl-shaped domain	2
Structural stability for the Forchheimer equations interfacing with a Darcy fluid in a bounded region in $\mathbb{R}^{3}$	2
Numerical resolution of the wave equation using the spectral method	2
Dynamic analysis of a stochastic four species food-chain model with harvesting and distributed delay	2
Existence and stability analysis for a class of fractional pantograph q-difference equations with nonlocal boundary conditions	2
On the analytical and numerical study for fractional q-integrodifferential equations	2
Bifurcation curves and exact multiplicity of positive solutions for Dirichlet problems with the Minkowski-curvature equation	2
Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term	2
Decay rate of the solutions to the Cauchy problem of the Bresse system in thermoelasticity of type III with distributed delay	2
A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law	2
Legendre spectral collocation method for distributed and Riesz fractional convection–diffusion and Schrödinger-type equation	2
Existence and uniqueness criterion of a periodic solution for a third-order neutral differential equation with multiple delay	2
Solutions to a $(p(x),q(x))$-biharmonic elliptic problem on a bounded domain	2
Mixed Cauchy problem with lateral boundary condition for noncharacteristic degenerate hyperbolic equations	2
Ground state solutions and infinitely many solutions for a nonlinear Choquard equation	1
Nonlocal Lazer–McKenna-type problem perturbed by the Hardy’s potential and its parabolic equivalence	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
Multiplicity of positive periodic solutions to third-order variable coefficients singular dynamical systems	1
On a class of a coupled nonlinear viscoelastic Kirchhoff equations variable-exponents: global existence, blow up, growth and decay of solutions	1
Multiple positive solutions of fractional differential equations with improper integral boundary conditions on the half-line	1
Spatiotemporal dynamics in a delayed diffusive predator–prey system with nonlocal competition in prey and schooling behavior among predators	1
Oscillation of super-linear fourth-order differential equations with several sub-linear neutral terms	1
A necessary and sufficient condition for the existence of global solutions to reaction-diffusion equations on bounded domains	1
The principal eigenvalue of some nth order linear boundary value problems	1
Almost sure exponential stability of nonlinear stochastic delay hybrid systems driven by G-Brownian motion	1
Optimal harvesting strategies of a stochastic competitive model with S-type distributed time delays and Lévy jumps	1
Non-Newtonian nanofluid flow across an exponentially stretching sheet with viscous dissipation: numerical study using an SCM based on Appell–Changhee polynomials	1
Nonexistence of interior bubbling solutions for slightly supercritical elliptic problems	1
Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity	1
Regularity criterion for 3D nematic liquid crystal flows in terms of finite frequency parts in $\dot{B}_{\infty,\infty }^{-1}$	1
Wave propagation in a diffusive SEIR epidemic model with nonlocal transmission and a general nonlinear incidence rate	1
Global dynamics for an SVEIR epidemic model with diffusion and nonlinear incidence rate	1
On fractional order multiple integral transforms technique to handle three dimensional heat equation	1
The high-order smooth interpolated reproducing kernel particle method for elastodynamics problems	1
On a doubly degenerate parabolic equation with a nonlinear damping term	1
Analysis of reaction–diffusion systems where a parameter influences both the reaction terms as well as the boundary	1
Existence of entire radial solutions to Hessian type system	1
Existence of positive solutions for a singular third-order two-point boundary value problem on the half-line	1
Existence and multiplicity of periodic solutions for a nonlinear resonance equation with singularities	1
Application of the Elzaki iterative method to fractional partial differential equations	1

A minimum principle for stochastic control of hepatitis C epidemic model	1
Radial solutions for fully nonlinear elliptic equations of Monge–Ampère type	1
An oscillation theorem for the nonlinear degenerate elliptic equation in the Heisenberg group	1
Bifurcation mechanism and hybrid control strategy of a finance model with delays	1
An algorithm for solving the Navier–Stokes problem with mixed boundary conditions	1
Existence of ground state solutions for a class of Choquard equations with local nonlinear perturbation and variable potential	1
A comprehensive study on Milne-type inequalities with tempered fractional integrals	1
General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions	1
New multiplicity of positive solutions for some class of nonlocal problems	1
Hybrid interpolative mappings for solving fractional Navier–Stokes and functional differential equations	1
Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space	1
Optimal time-decay rates of the Keller–Segel system coupled to compressible Navier–Stokes equation in three dimensions	1
New results on the sign of the Green function of a two-point n-th order linear boundary value problem	1
Existence theory and Ulam’s stabilities for switched coupled system of implicit impulsive fractional order Langevin equations	1
On a new version of Hermite–Hadamard-type inequality based on proportional Caputo-hybrid operator	1
Unique iterative solution for high-order nonlinear fractional q-difference equation based on $\psi -(h,r)$-concave operators	1
Nonnegative nontrivial solutions for a class of $p(x)$-Kirchhoff equation involving concave-convex nonlinearities	1
Boundary value problems of quaternion-valued differential equations: solvability and Green’s function	1
Multiple solutions for a coercive quasilinear elliptic equation via Morse theory	1
Ground state solutions for Kirchhoff-type equations with general nonlinearity in low dimension	1
A note on global existence of strong solution to the 3D micropolar equations with a damping term	1
New oscillation criteria for second-order neutral differential equations with distributed deviating arguments	1
On the solutions of a nonlinear system of q-difference equations	1
Dynamics and stationary distribution of a stochastic SIRS epidemic model with a general incidence and immunity	1
RETRACTED ARTICLE: Second-order impulsive differential systems of mixed type: oscillation theorems	1
The exterior Dirichlet problems of Monge–Ampère equations in dimension two	1
Extinction behavior and recurrence of n-type Markov branching–immigration processes	1
Unconditional superconvergence analysis of an energy-stable finite element scheme for nonlinear Benjamin–Bona–Mahony–Burgers equation	1
Fractional evolution equation with Cauchy data in $L^{p}$ spaces	1
Blow-up of solutions for a system of nonlocal singular viscoelastic equations with sources and distributed delay terms	1
The Robin problems for the coupled system of reaction–diffusion equations	1
Long-time behavior of solutions for a fractional diffusion problem	1
On the critical behavior for time-fractional pseudo-parabolic-type equations with combined nonlinearities	1
Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms	1
Correctness conditions for high-order differential equations with unbounded coefficients	1
Multiple solutions for a quasilinear Schrödinger–Poisson system	1
Global weak solutions to a nonlinear equation with fourth order nonlinearities	1
Initial boundary value problem for a viscoelastic wave equation with Balakrishnan–Taylor damping and a delay term: decay estimates and blow-up result	1
On Neumann problem for the degenerate Monge–Ampère type equations	1
Multipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions	1
Fredholm integral equation in composed-cone metric spaces	1
Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator	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
Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term	1
Applying periodic and anti-periodic boundary conditions in existence results of fractional differential equations via nonlinear contractive mappings	1
Turing instability in a modified cross-diffusion Leslie–Gower predator–prey model with Beddington–DeAngelis functional response	1
Time decay of solutions for compressible isentropic non-Newtonian fluids	1
Remarks on a fractional nonlinear partial integro-differential equation via the new generalized multivariate Mittag-Leffler function	1
First order differential systems with a nonlinear boundary condition via the method of solution-regions	1
Regularity and uniqueness for the 3D compressible magnetohydrodynamic equations	1
Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses	1
Singular perturbation boundary and interior layers problems with multiple turning points	1
Inverse problem for cracked inhomogeneous Kirchhoff–Love plate with two hinged rigid inclusions	1
Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations	1
Existence of the positive solutions for boundary value problems of mixed differential equations involving the Caputo and Riemann–Liouville fractional derivatives	1
A coupled complex mKdV equation and its N-soliton solutions via the Riemann–Hilbert approach	1
Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	1
Initial boundary value problem for a class of higher-order n-dimensional nonlinear pseudo-parabolic equations	1
Global regularity of 2D MHD equations with almost Laplacian velocity dissipation	1
Convergence of solutions for perturbed and unperturbed cobweb models with generalized Caputo derivative	1
Generalized strongly n-polynomial convex functions and related inequalities	1
Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity	1
Upper and lower solutions method for a class of second-order coupled systems	1
Blow-up of solutions to the semilinear wave equation with scale invariant damping on exterior domain	1
Existence of solutions for a class of Kirchhoff-type equations with indefinite potential	1
Free convection inside a porous square cavity with convective boundary condition using spline functions	1
Positive ground states for nonlinearly coupled Choquard type equations with lower critical exponents	1
On positive solutions of second-order delayed differential system with indefinite weight	1
On strong singular fractional version of the Sturm–Liouville equation	0
Internal feedback stabilization of multi-dimensional wave equations with a boundary delay: a numerical study	0
Application of the topological sensitivity method to the reconstruction of plasma equilibrium domain in a tokamak	0
Optimal partial regularity of discontinuous subelliptic systems with VMO coefficients related to Hörmander’s vector fields	0
Fujita type theorem for a class of coupled quasilinear convection–diffusion equations	0
Local well-posedness of the inertial Qian–Sheng’s Q-tensor dynamical model near uniaxial equilibrium	0
On global dynamics of 2D convective Cahn–Hilliard equation	0
Application of double Sumudu-generalized Laplace decomposition method and two-dimensional time-fractional coupled Burger’s equation	0
Existence and uniqueness of positive solution to a new class of nonlocal elliptic problem with parameter dependency	0
Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics	0
Analysis of Caputo fractional variable order multi-point initial value problems: existence, uniqueness, and stability	0
On generalized $(k,\psi )$-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem	0
Infinitely many solutions for three quasilinear Laplacian systems on weighted graphs	0
Affine periodic solutions for some stochastic differential equations	0
Homoclinic orbits of sub-linear Hamiltonian systems with perturbed terms	0
Novel results of Milne-type inequalities involving tempered fractional integrals	0
An elliptic problem of the Prandtl–Batchelor type with a singularity	0
Least energy nodal solutions for a weighted $(N, p)$-Schrödinger problem involving a continuous potential under exponential growth nonlinearity	0
Kohn–Vogelius formulation for plasma geometry identification problem	0
Entropy solutions of elliptic equation from two phase problems	0
Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem	0
Positive solutions for a semipositone anisotropic p-Laplacian problem	0
Gradient estimate of a Poisson equation under the almost Ricci solitons	0
$L^{\infty }$ decay estimates of solutions of nonlinear parabolic equation	0
On instability of Rayleigh–Taylor problem for incompressible liquid crystals under $L^{1}$-norm	0
Arbitrary decay for a von Karman system with memory	0
Two solutions to Kirchhoff-type fourth-order implusive elastic beam equations	0