Boundary Value Problems

Article	Citations
On strong singular fractional version of the Sturm–Liouville equation	35
Infinitely many solutions for three quasilinear Laplacian systems on weighted graphs	23
A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law	21
An elliptic problem of the Prandtl–Batchelor type with a singularity	20
Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity	15
Kohn–Vogelius formulation for plasma geometry identification problem	15
Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques	14
General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions	14
Analysis of Caputo fractional variable order multi-point initial value problems: existence, uniqueness, and stability	12
Two solutions to Kirchhoff-type fourth-order implusive elastic beam equations	12
Existence and multiplicity of solutions for the Cauchy problem of a fractional Lorentz force equation	10
Gradient estimate of a Poisson equation under the almost Ricci solitons	9
Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics	9
On instability of Rayleigh–Taylor problem for incompressible liquid crystals under $L^{1}$-norm	9
The multiple birth properties of multi-type Markov branching processes	9
Homoclinic orbits of sub-linear Hamiltonian systems with perturbed terms	9
Nonexistence of interior bubbling solutions for slightly supercritical elliptic problems	8
Unique iterative solution for high-order nonlinear fractional q-difference equation based on $\psi -(h,r)$-concave operators	8
Fujita type theorem for a class of coupled quasilinear convection–diffusion equations	8
Application of the topological sensitivity method to the reconstruction of plasma equilibrium domain in a tokamak	8
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient	8
Analysis of stochastic neutral fractional functional differential equations	7
Some results on stability and continuous dependence in Green-Naghdi thermoelasticity of Cosserat bodies	7
Internal feedback stabilization of multi-dimensional wave equations with a boundary delay: a numerical study	7
Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem	7

Multiple solutions for singular semipositone boundary value problems of fourth-order differential systems with parameters	6
A variational approach for mixed elliptic problems involving the p-Laplacian with two parameters	6
Application of double Sumudu-generalized Laplace decomposition method and two-dimensional time-fractional coupled Burger’s equation	6
Regularity and uniqueness for the 3D compressible magnetohydrodynamic equations	6
Nonexistence results of solutions of parabolic-type equations and systems on the Heisenberg group	6
Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces	5
Entropy solutions of elliptic equation from two phase problems	5
Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations	5
The principal eigenvalue of some nth order linear boundary value problems	5
Local well-posedness of the inertial Qian–Sheng’s Q-tensor dynamical model near uniaxial equilibrium	5
New type of the unique continuation property for a fractional diffusion equation and an inverse source problem	5
Novel results of Milne-type inequalities involving tempered fractional integrals	5
On a composite obtained by a mixture of a dipolar solid with a Moore–Gibson–Thompson media	5
Random attractor for second-order stochastic delay lattice sine-Gordon equation	5
Global dynamics for an SVEIR epidemic model with diffusion and nonlinear incidence rate	5
A diffusive plankton system with time delay and habitat complexity effects under Neumann boundary condition	5
Numerical solution of nonlinear partial differential equations using shifted Legendre collocation method	4
Singularly perturbed quasilinear Choquard equations with nonlinearity satisfying Berestycki–Lions assumptions	4
Ground state solutions for Kirchhoff-type equations with general nonlinearity in low dimension	4
Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term	4
On the analytical and numerical study for fractional q-integrodifferential equations	4
Normalized ground states for a kind of Choquard–Kirchhoff equations with critical nonlinearities	4
Optimal partial regularity of discontinuous subelliptic systems with VMO coefficients related to Hörmander’s vector fields	4
Qualitative analysis of a prey–predator model with prey refuge and intraspecific competition among predators	4
On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation	4
New results on fractional advection–dispersion equations	4
Arbitrary decay for a von Karman system with memory	4
Affine periodic solutions for some stochastic differential equations	4
Dynamics and stationary distribution of a stochastic SIRS epidemic model with a general incidence and immunity	4
Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions	3
Least energy nodal solutions for a weighted $(N, p)$-Schrödinger problem involving a continuous potential under exponential growth nonlinearity	3
Periodic solution for neutral-type differential equation with piecewise impulses on time scales	3
On generalized $(k,\psi )$-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem	3
Structural stability for double-diffusion Brinkman fluid with Soret effect	3
Nonlocal Lazer–McKenna-type problem perturbed by the Hardy’s potential and its parabolic equivalence	3
Existence and uniqueness of positive solution to a new class of nonlocal elliptic problem with parameter dependency	3
Modeling two-phase gas-solid flow in axisymmetric diffusers using cut cell technique: an Eulerian-Eulerian approach	3
On steady state of viscous compressible heat conducting full magnetohydrodynamic equations	3
Multiple positive solutions of fractional differential equations with improper integral boundary conditions on the half-line	3
Periodic solutions for second-order even and noneven Hamiltonian systems	3
Well posedness of a nonlinear mixed problem for a parabolic equation with integral condition	3
Existence and uniqueness criterion of a periodic solution for a third-order neutral differential equation with multiple delay	3
Existence theory on the Caputo-type fractional differential Langevin hybrid inclusion with variable coefficient	3
Numerical solution of Bratu’s boundary value problem based on Green’s function and a novel iterative scheme	3
Numerical solution of system of second-order integro-differential equations using nonclassical sinc collocation method	3
New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals	3
Positive solutions for a semipositone anisotropic p-Laplacian problem	3
Optimal time-decay rates of the Keller–Segel system coupled to compressible Navier–Stokes equation in three dimensions	3
On global classical solutions to one-dimensional compressible Navier–Stokes/Allen–Cahn system with density-dependent viscosity and vacuum	3
Turing instability in a modified cross-diffusion Leslie–Gower predator–prey model with Beddington–DeAngelis functional response	3

Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term	3
Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations	3
New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals	3
Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator	3
Two-phase heat conduction problems with Sturm-type boundary conditions	3
Existence of solution of a system of non-linear differential inclusions with non-local, integral boundary conditions via fixed points of hybrid contractions	2
Some notes on conformable fractional Sturm–Liouville problems	2
Nonlocal boundary value problems for ψ-Hilfer fractional-order Langevin equations	2
Existence of exponential attractors for the coupled system of suspension bridge equations	2
Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions	2
Retraction Note: A remark on the a-minimally thin sets associated with the Schrödinger operator	2
Bifurcation mechanism and hybrid control strategy of a finance model with delays	2
Multivalued nonmonotone dynamic boundary condition	2
Short note on a solution with large amplitude for the limiting system arising from the competition-diffusion system	2
Uniform estimates with data from generalized Lebesgue spaces in periodic structures	2
Boundedness in a two-dimensional chemotaxis system with signal-dependent motility and logistic source	2
Creating new contractive mappings to obtain fixed points and data-dependence results under auxiliary functions	2
Existence results to a Leray–Lions type problem on the Heisenberg Lie groups	2
Dynamics and numerical analysis of a fractional-order toxoplasmosis model incorporating human and cat populations	2
Existence of positive solutions for a class of singular elliptic problems with convection term and critical exponential growth	2
Research on singular Sturm–Liouville spectral problems with a weighted function	2
Solutions for planar Kirchhoff-Schrödinger-Poisson systems with general nonlinearities	2
Multiple solutions for a class of anisotropic p⃗-Laplacian problems	2
Multiplicity and nonexistence of positive solutions to impulsive Sturm–Liouville boundary value problems	2
Construct new type solutions for the fractional Schrödinger equation	2
Novel exact solutions for PDEs with mixed boundary conditions	2
On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study	2
Positive solutions for a class of fractional differential equations with infinite-point boundary conditions on infinite intervals	2
On global strong solutions to the 3D MHD flows with density-temperature-dependent viscosities	2
The existence of discrete solitons for the discrete coupled nonlinear Schrödinger system	2
Existence and uniqueness for a mixed fractional differential system with slit-strips conditions	2
Three positive solutions for a nonlinear partial discrete Dirichlet problem with $(p,q)$-Laplacian operator	2
Extension of Milne-type inequalities to Katugampola fractional integrals	2
Persistence properties and blow-up phenomena for a generalized Camassa–Holm equation	2
Spectral framework using modified shifted Chebyshev polynomials of the third-kind for numerical solutions of one- and two-dimensional hyperbolic telegraph equations	2
On positive solutions of second-order delayed differential system with indefinite weight	2
Existence of ground state solutions for a class of Choquard equations with local nonlinear perturbation and variable potential	2
Multiple solutions for a quasilinear Schrödinger–Poisson system	2
Existence and stability of a q-Caputo fractional jerk differential equation having anti-periodic boundary conditions	2
Three solutions for a partial discrete Dirichlet boundary value problem with p-Laplacian	2
Three solutions for fractional elliptic systems involving ψ-Hilfer operator	2
On nonlinear fractional Choquard equation with indefinite potential and general nonlinearity	2
Asymptotic behavior of plate equations driven by colored noise on unbounded domains	2
Generalized strongly n-polynomial convex functions and related inequalities	2
On a viscous fourth-order parabolic equation with boundary degeneracy	2
Existence theory and Ulam’s stabilities for switched coupled system of implicit impulsive fractional order Langevin equations	1
Implementation of the spectral element discretization of the nonstationary velocity–vorticity–pressure Stokes formulation	1
Existence and multiplicity of solutions for a class of $(p,q)$-Kirchhoff system with combined nonlinearities on graphs	1
An inhomogeneous perturbation for a class of nonlinear scalar field equations	1
Competing anisotropic and Finsler $(p,q)$-Laplacian problems	1
Retraction Note: Second-order impulsive differential systems of mixed type: oscillation theorems	1
Dynamical behavior of a degenerate parabolic equation with memory on the whole space	1
Optimal harvesting strategies of a stochastic competitive model with S-type distributed time delays and Lévy jumps	1
Existence and multiplicity of periodic solutions for a nonlinear resonance equation with singularities	1
Normal periodic solutions for the fractional abstract Cauchy problem	1
A necessary and sufficient condition of blow-up for a nonlinear equation	1
Solvability of mixed Hilfer fractional functional boundary value problems with p-Laplacian at resonance	1
Ground state solutions for a class of Schrödinger–Poisson–Slater equation with Coulomb–Sobolev critical exponent	1
Well posedness for one class of elliptic equations with drift	1
On the critical behavior for time-fractional pseudo-parabolic-type equations with combined nonlinearities	1
On the noncooperative Schrödinger–Kirchhoff system involving the critical nonlinearities on the Heisenberg group	1
Existence and multiplicity of radially symmetric k-admissible solutions for a k-Hessian equation	1
The existence of positive solutions for the Neumann problem of p-Laplacian elliptic systems with Sobolev critical exponent	1
Analysis of a free boundary problem modeling spherically symmetric tumor growth with angiogenesis and a periodic supply of nutrients	1
Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity	1
Multiple solutions for a system involving an anisotropic variable exponent operator	1
New error bounds for Newton’s formula associated with tempered fractional integrals	1
The exact solutions of Fokas-Lenells equation based on Jacobi elliptic function expansion method	1
An overdetermined problem of the biharmonic operator on Riemannian manifolds	1
Asymptotic Stepanov automorphic properties of solutions to stochastic functional differential equations	1
Multipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions	1
A weak solution for a $(p(x),q(x))$-Laplacian elliptic problem with a singular term	1
On dynamic inequalities in two independent variables on time scales and their applications for boundary value problems	1
A coupled complex mKdV equation and its N-soliton solutions via the Riemann–Hilbert approach	1
Stability and boundedness of solutions to a certain third-order neutral integro-differential equation with constant delay	1
Robust and accurate numerical framework for multi-dimensional fractional-order telegraph equations using Jacobi/Jacobi-Romanovski spectral technique	1
Correction to: Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	1
Ground state solutions for elliptic Kirchhoff–Boussinesq type problems with supercritical exponential growth	1
Effect of slip boundary conditions on unsteady pulsatile nanofluid flow through a sinusoidal channel: an analytical study	1
A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus	1

Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator	1
An existence of the solution for generalized system of fractional q-differential inclusions involving p-Laplacian operator and sequential derivatives	1
Existence and multiplicity of solutions of fractional differential equations on infinite intervals	1
Fitted numerical method for singularly perturbed Burger–Huxley equation	1
Impulsive coupled systems with regular and singular ϕ-Laplacians and generalized jump conditions	1
Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses	1
Nodal solutions for Neumann systems with gradient dependence	1
Blow-up of solution to semilinear wave equations with strong damping and scattering damping	1
The existence of solutions for Sturm–Liouville differential equation with random impulses and boundary value problems	1
New product-type oscillation criteria for first-order linear differential equations with several nonmonotone arguments	1
A minimum principle for stochastic control of hepatitis C epidemic model	1
New approaches for periodic wave solutions of a non-Newtonian filtration equation with variable delay	1
Existence results for coupled sequential ψ-Hilfer fractional impulsive BVPs: topological degree theory approach	1
Caputo fractional backward stochastic differential equations driven by fractional Brownian motion with delayed generator	1
A comprehensive study on Milne-type inequalities with tempered fractional integrals	1
$C^{1}$-Regularity for subelliptic systems with drift in the Heisenberg group: the superquadratic controllable growth	1
Global regularity of 2D MHD equations with almost Laplacian velocity dissipation	1
Nondegeneracy of the bubble solutions for critical equations involving the polyharmonic operator	1
Blow-up criteria of the simplified Ericksen–Leslie system	1
An inverse boundary value problem for transverse vibrations of a bar	1
Turing instability in the Lengyel–Epstein fractional Laplacian system	1
Multiplicity of positive periodic solutions to third-order variable coefficients singular dynamical systems	1
Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms	1
A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations	1
Multiplicity of normalized solutions to a class of nonlinear fractional Schrödinger–Poisson systems with Hardy potential	1
On the singular-hybrid type of the Langevin fractional differential equation with a numerical approach	1
Retraction Note: New applications of Schrödingerean Green potential to boundary behaviors of superharmonic functions	1
A novel approach on the sequential type ψ-Hilfer pantograph fractional differential equation with boundary conditions	1
Structural stability for the Forchheimer equations interfacing with a Darcy fluid in a bounded region in $\mathbb{R}^{3}$	1
Scattering for 2D quasilinear wave equations with null conditions	1
Regularity criterion for 3D nematic liquid crystal flows in terms of finite frequency parts in $\dot{B}_{\infty,\infty }^{-1}$	1
Upper and lower solutions method for a class of second-order coupled systems	1
Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential	1
Global solvability and boundedness to a attraction–repulsion model with logistic source	1
Positive continuous solutions for some semilinear elliptic problems in the half space	1
Existence, uniqueness and stability analysis of a nonlinear coupled system involving mixed ϕ-Riemann-Liouville and ψ-Caputo fractional derivatives	1
On a power-type coupled system with mean curvature operator in Minkowski space	1
Existence of solutions for a class of Kirchhoff-type equations with indefinite potential	1
On the study of three-dimensional compressible Navier–Stokes equations	1
Existence and nonexistence of solutions for an approximation of the Paneitz problem on spheres	1
The Robin problems for the coupled system of reaction–diffusion equations	1
Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev–Hardy critical exponent	1
Bifurcations, chaotic behavior, sensitivity analysis, and various soliton solutions for the extended nonlinear Schrödinger equation	1
Hybrid interpolative mappings for solving fractional Navier–Stokes and functional differential equations	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
Generalized Tikhonov regularization method for an inverse boundary value problem of the fractional elliptic equation	1
Boundary value problems for second-order causal differential equations	1
New oscillation criteria for second-order neutral differential equations with distributed deviating arguments	1
Remarks on a fractional nonlinear partial integro-differential equation via the new generalized multivariate Mittag-Leffler function	1
A finite element approach to the Keller–Segel Chemotaxis system with impact of nonlocal diffusion	1
New versions of the Hermite–Hadamard inequality for $(\phi -h)$-integrals	1
Singular perturbation boundary and interior layers problems with multiple turning points	1
Numerical approximation of the 3rd order pseudo-parabolic equation using collocation technique	1