Boundary Value Problems

Article	Citations
Infinitely many solutions for three quasilinear Laplacian systems on weighted graphs	40
A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law	37
Blow-up phenomena for a nonlinear shallow water wave model	27
A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions	21
Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity	20
Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques	17
Analysis of Caputo fractional variable order multi-point initial value problems: existence, uniqueness, and stability	15
Significance of thermal radiation and suction/injection on flow and heat transfer of various nanofluids along expandable stretching horizontal cylinder	15
Exact differential transform method and semi-analytic Chebyshev collocation method for ordinary differential equations	14
Existence and multiplicity of solutions for the Cauchy problem of a fractional Lorentz force equation	12
On instability of Rayleigh–Taylor problem for incompressible liquid crystals under $L^{1}$-norm	11
The multiple birth properties of multi-type Markov branching processes	11
Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics	10
Novel exact solutions for PDEs with mixed boundary conditions	10
Retraction Note: A remark on the a-minimally thin sets associated with the Schrödinger operator	10
Gradient estimate of a Poisson equation under the almost Ricci solitons	10
Turing instability in a modified cross-diffusion Leslie–Gower predator–prey model with Beddington–DeAngelis functional response	10
Periodic solution for neutral-type differential equation with piecewise impulses on time scales	9
Application of the topological sensitivity method to the reconstruction of plasma equilibrium domain in a tokamak	9
On global classical solutions to one-dimensional compressible Navier–Stokes/Allen–Cahn system with density-dependent viscosity and vacuum	9
Nonexistence of interior bubbling solutions for slightly supercritical elliptic problems	9
Some results on stability and continuous dependence in Green-Naghdi thermoelasticity of Cosserat bodies	8
Periodic solutions for second-order even and noneven Hamiltonian systems	8
Nonexistence results of solutions of parabolic-type equations and systems on the Heisenberg group	8
Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem	8

Application of double Sumudu-generalized Laplace decomposition method and two-dimensional time-fractional coupled Burger’s equation	8
Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations	7
Optimal time-decay rates of the Keller–Segel system coupled to compressible Navier–Stokes equation in three dimensions	7
On a composite obtained by a mixture of a dipolar solid with a Moore–Gibson–Thompson media	7
Least energy nodal solutions for a weighted $(N, p)$-Schrödinger problem involving a continuous potential under exponential growth nonlinearity	7
New type of the unique continuation property for a fractional diffusion equation and an inverse source problem	7
Novel results of Milne-type inequalities involving tempered fractional integrals	6
Singularly perturbed quasilinear Choquard equations with nonlinearity satisfying Berestycki–Lions assumptions	6
Optimal partial regularity of discontinuous subelliptic systems with VMO coefficients related to Hörmander’s vector fields	6
Qualitative analysis of a prey–predator model with prey refuge and intraspecific competition among predators	6
Arbitrary decay for a von Karman system with memory	6
Affine periodic solutions for some stochastic differential equations	6
New results on fractional advection–dispersion equations	6
Existence and uniqueness of positive solution to a new class of nonlocal elliptic problem with parameter dependency	5
Two-phase heat conduction problems with Sturm-type boundary conditions	5
Numerical solution of Bratu’s boundary value problem based on Green’s function and a novel iterative scheme	5
Existence theory on the Caputo-type fractional differential Langevin hybrid inclusion with variable coefficient	5
On generalized $(k,\psi )$-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem	5
On steady state of viscous compressible heat conducting full magnetohydrodynamic equations	5
New estimates on generalized Hermite–Hadamard–Mercer-type inequalities	5
On the analytical and numerical study for fractional q-integrodifferential equations	5
Existence and uniqueness criterion of a periodic solution for a third-order neutral differential equation with multiple delay	5
New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals	4
Well posedness of a nonlinear mixed problem for a parabolic equation with integral condition	4
Numerical solution of nonlinear partial differential equations using shifted Legendre collocation method	4
Modeling two-phase gas-solid flow in axisymmetric diffusers using cut cell technique: an Eulerian-Eulerian approach	4
On strong singular fractional version of the Sturm–Liouville equation	4
Global dynamics for an SVEIR epidemic model with diffusion and nonlinear incidence rate	4
Structural stability for double-diffusion Brinkman fluid with Soret effect	4
Dynamics and stationary distribution of a stochastic SIRS epidemic model with a general incidence and immunity	4
Multiple positive solutions of fractional differential equations with improper integral boundary conditions on the half-line	4
Entropy solutions of elliptic equation from two phase problems	4
Unique iterative solution for high-order nonlinear fractional q-difference equation based on $\psi -(h,r)$-concave operators	4
A variational approach for mixed elliptic problems involving the p-Laplacian with two parameters	4
Numerical solution of system of second-order integro-differential equations using nonclassical sinc collocation method	4
General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions	4
An elliptic problem of the Prandtl–Batchelor type with a singularity	4
The principal eigenvalue of some nth order linear boundary value problems	4
Normalized ground states for a kind of Choquard–Kirchhoff equations with critical nonlinearities	4
A diffusive plankton system with time delay and habitat complexity effects under Neumann boundary condition	3
Kohn–Vogelius formulation for plasma geometry identification problem	3
Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces	3
Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term	3
Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator	3
Multiplicity of weak solutions in double phase Kirchhoff elliptic problems with Neumann conditions	3
Spectral framework using modified shifted Chebyshev polynomials of the third-kind for numerical solutions of one- and two-dimensional hyperbolic telegraph equations	3
Positive solutions for a semipositone anisotropic p-Laplacian problem	3
Regularity and uniqueness for the 3D compressible magnetohydrodynamic equations	3
Internal feedback stabilization of multi-dimensional wave equations with a boundary delay: a numerical study	3
Multiple solutions for singular semipositone boundary value problems of fourth-order differential systems with parameters	3

New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals	3
Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations	3
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient	3
Weighted pseudo S-asymptotic $(N,\lambda )$-periodic solutions to Volterra difference equations	3
On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation	3
Nonlocal Lazer–McKenna-type problem perturbed by the Hardy’s potential and its parabolic equivalence	3
Analysis of stochastic neutral fractional functional differential equations	3
Creating new contractive mappings to obtain fixed points and data-dependence results under auxiliary functions	3
Unveiling the dynamics of meningitis infections: a comprehensive study of a novel fractional-order model with optimal control strategies	3
Multiplicity and nonexistence of positive solutions to impulsive Sturm–Liouville boundary value problems	3
Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions	3
Persistence properties and blow-up phenomena for a generalized Camassa–Holm equation	2
Solutions for planar Kirchhoff-Schrödinger-Poisson systems with general nonlinearities	2
Three solutions for fractional elliptic systems involving ψ-Hilfer operator	2
Existence, uniqueness and stability analysis of a nonlinear coupled system involving mixed ϕ-Riemann-Liouville and ψ-Caputo fractional derivatives	2
Existence and multiplicity of periodic solutions for a nonlinear resonance equation with singularities	2
A minimum principle for stochastic control of hepatitis C epidemic model	2
Existence and multiplicity of solutions of fractional differential equations on infinite intervals	2
Fixed Points of New Hybrid Contractions with Applications to Nonlinear Economic Models	2
On global strong solutions to the 3D MHD flows with density-temperature-dependent viscosities	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
Comparative analysis of pulsatile nanofluid flow under slip conditions through stenosed arteries	2
Multiple solutions for a class of anisotropic p⃗-Laplacian problems	2
Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity	2
Multiple solutions for a quasilinear Schrödinger–Poisson system	2
The existence of discrete solitons for the discrete coupled nonlinear Schrödinger system	2
Research on singular Sturm–Liouville spectral problems with a weighted function	2
The Robin problems for the coupled system of reaction–diffusion equations	2
An inverse boundary value problem for transverse vibrations of a bar	2
New error bounds for Newton’s formula associated with tempered fractional integrals	2
Dynamical behavior of a degenerate parabolic equation with memory on the whole space	2
Spectral analysis for the almost periodic quadratic pencil with impulse	2
Correction to: Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	2
Generalized strongly n-polynomial convex functions and related inequalities	2
Asymptotic behavior of plate equations driven by colored noise on unbounded domains	2
Boundedness in a two-dimensional chemotaxis system with signal-dependent motility and logistic source	2
Extension of Milne-type inequalities to Katugampola fractional integrals	2
Utilizing fractional derivatives and sensitivity analysis in a random framework: a model-based approach to the investigation of random dynamics of malware spread	2
Existence of exponential attractors for the coupled system of suspension bridge equations	2
Solvability of mixed Hilfer fractional functional boundary value problems with p-Laplacian at resonance	2
On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study	2
Existence of positive solutions for a class of singular elliptic problems with convection term and critical exponential growth	2
Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses	2
Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential	2
Two modified shifted Chebyshev–Galerkin operational matrix methods for even-order partial boundary value problems	2
Ground state solutions for a class of Schrödinger–Poisson–Slater equation with Coulomb–Sobolev critical exponent	2
On the study of three-dimensional compressible Navier–Stokes equations	2
Multiplicity of normalized solutions to a class of nonlinear fractional Schrödinger–Poisson systems with Hardy potential	2
Numerical approximation of the 3rd order pseudo-parabolic equation using collocation technique	2
Existence results for coupled sequential ψ-Hilfer fractional impulsive BVPs: topological degree theory approach	2
Construct new type solutions for the fractional Schrödinger equation	2
Multivalued nonmonotone dynamic boundary condition	1
Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term	1
On nonlinear fractional Choquard equation with indefinite potential and general nonlinearity	1
On a viscous fourth-order parabolic equation with boundary degeneracy	1
On a power-type coupled system with mean curvature operator in Minkowski space	1
$C^{1}$-Regularity for subelliptic systems with drift in the Heisenberg group: the superquadratic controllable growth	1
Bifurcations, chaotic behavior, sensitivity analysis, and various soliton solutions for the extended nonlinear Schrödinger equation	1
Fractional evolution equation with Cauchy data in $L^{p}$ spaces	1
Positive continuous solutions for some semilinear elliptic problems in the half space	1
Retraction Note: Second-order impulsive differential systems of mixed type: oscillation theorems	1
New versions of the Hermite–Hadamard inequality for $(\phi -h)$-integrals	1
Generalization of Hermite–Hadamard, trapezoid, and midpoint Mercer type inequalities for fractional integrals in multiplicative calculus	1
Singular perturbation boundary and interior layers problems with multiple turning points	1
Fractal-fractional mathematical modeling of monkeypox disease and analysis of its Ulam–Hyers stability	1
Stability and boundedness of solutions to a certain third-order neutral integro-differential equation with constant delay	1
Remarks on a fractional nonlinear partial integro-differential equation via the new generalized multivariate Mittag-Leffler function	1
Competing anisotropic and Finsler $(p,q)$-Laplacian problems	1
Implementation of the spectral element discretization of the nonstationary velocity–vorticity–pressure Stokes formulation	1
Fitted numerical method for singularly perturbed Burger–Huxley equation	1
Barycentric Lagrange interpolation method for solving Love’s integral equations	1
Retraction Note: New applications of Schrödingerean Green potential to boundary behaviors of superharmonic functions	1
The well posedness of solutions for the 2D magnetomicropolar boundary layer equations in an analytic framework	1
Bifurcation mechanism and hybrid control strategy of a finance model with delays	1
On a nonlocal implicit problem under Atangana–Baleanu–Caputo fractional derivative	1
Short note on a solution with large amplitude for the limiting system arising from the competition-diffusion system	1
Existence of solutions for a class of Kirchhoff-type equations with indefinite potential	1
Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation	1
The existence of solutions for Sturm–Liouville differential equation with random impulses and boundary value problems	1

Three new approaches for solving a class of strongly nonlinear two-point boundary value problems	1
Blow-up of solution to semilinear wave equations with strong damping and scattering damping	1
Existence theory and Ulam’s stabilities for switched coupled system of implicit impulsive fractional order Langevin equations	1
Existence and uniqueness for a mixed fractional differential system with slit-strips conditions	1
Three solutions for a partial discrete Dirichlet boundary value problem with p-Laplacian	1
Existence and nonexistence of solutions for an approximation of the Paneitz problem on spheres	1
Upper and lower solutions method for a class of second-order coupled systems	1
Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions	1
The exact solutions of Fokas-Lenells equation based on Jacobi elliptic function expansion method	1
Generalized Tikhonov regularization method for an inverse boundary value problem of the fractional elliptic equation	1
A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus	1
Global solvability and boundedness to a attraction–repulsion model with logistic source	1
Structural stability for the Forchheimer equations interfacing with a Darcy fluid in a bounded region in $\mathbb{R}^{3}$	1
Analysis of a free boundary problem modeling spherically symmetric tumor growth with angiogenesis and a periodic supply of nutrients	1
Model boundary value problem for the Helmholtz equation in a nonconvex angle with periodic boundary data	1
Fractional B-spline collocation method for the numerical solution of the fractional pantograph differential equations	1
Multiplicity of positive periodic solutions to third-order variable coefficients singular dynamical systems	1
Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problems	1
Existence and stability of a q-Caputo fractional jerk differential equation having anti-periodic boundary conditions	1
Advancing numerical solutions for a system of singularly perturbed delay differential equations at linear rate	1
Oscillation of super-linear fourth-order differential equations with several sub-linear neutral terms	1
An existence of the solution for generalized system of fractional q-differential inclusions involving p-Laplacian operator and sequential derivatives	1
Identification of the bulk modulus coefficient in the acoustic equation from boundary observation: a sentinel method	1
On the critical behavior for time-fractional pseudo-parabolic-type equations with combined nonlinearities	1
Analysis of hybrid fractional differential equations with nonlocal boundary conditions and linear perturbations	1
Multiple solutions for a system involving an anisotropic variable exponent operator	1
Existence of ground state solutions for a class of Choquard equations with local nonlinear perturbation and variable potential	1
Nondegeneracy of the bubble solutions for critical equations involving the polyharmonic operator	1
Normal periodic solutions for the fractional abstract Cauchy problem	1
On the singular-hybrid type of the Langevin fractional differential equation with a numerical approach	1
A weak solution for a $(p(x),q(x))$-Laplacian elliptic problem with a singular term	1
Robust and accurate numerical framework for multi-dimensional fractional-order telegraph equations using Jacobi/Jacobi-Romanovski spectral technique	1
Scattering for 2D quasilinear wave equations with null conditions	1
The existence of positive solutions for the Neumann problem of p-Laplacian elliptic systems with Sobolev critical exponent	1
Existence and multiplicity of radially symmetric k-admissible solutions for a k-Hessian equation	1
Energy decay rate of piezoelectric beams with damped electrical field in Lorenz gauge setting	1
Three positive solutions for a nonlinear partial discrete Dirichlet problem with $(p,q)$-Laplacian operator	1
Turing instability in the Lengyel–Epstein fractional Laplacian system	1
Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator	1
Positive solutions for a class of fractional differential equations with infinite-point boundary conditions on infinite intervals	1
Hybrid interpolative mappings for solving fractional Navier–Stokes and functional differential equations	1
Existence of solution of a system of non-linear differential inclusions with non-local, integral boundary conditions via fixed points of hybrid contractions	1
A comprehensive study on Milne-type inequalities with tempered fractional integrals	1
Optimal control for a chemotaxis–haptotaxis model in two space dimensions	1
Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms	1
New insights into fractional twin-core couplers: bifurcation and sensitivity analysis	1
Minimax optimal control problems for an extensible beam equation with uncertain initial velocity	1
A finite element approach to the Keller–Segel Chemotaxis system with impact of nonlocal diffusion	1
Existence and multiplicity of solutions for a class of $(p,q)$-Kirchhoff system with combined nonlinearities on graphs	1
Impulsive coupled systems with regular and singular ϕ-Laplacians and generalized jump conditions	1
An overdetermined problem of the biharmonic operator on Riemannian manifolds	1
Effect of slip boundary conditions on unsteady pulsatile nanofluid flow through a sinusoidal channel: an analytical study	1
Some notes on conformable fractional Sturm–Liouville problems	1
Existence of entire radial solutions to Hessian type system	1
On positive solutions of second-order delayed differential system with indefinite weight	1
On the noncooperative Schrödinger–Kirchhoff system involving the critical nonlinearities on the Heisenberg group	1
Mixed boundary value problems involving Sturm–Liouville differential equations with possibly negative coefficients	0
On the existence of solutions for nonlocal sequential boundary fractional differential equations via ψ-Riemann–Liouville derivative	0
Novel computations of the time-fractional chemical Schnakenberg mathematical model via non-singular kernel operators	0
New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem	0
Infinitely many solutions for quasilinear Schrödinger equation with general superlinear nonlinearity	0
Convergence of solutions for perturbed and unperturbed cobweb models with generalized Caputo derivative	0
Correctness conditions for high-order differential equations with unbounded coefficients	0
Radial solutions for fully nonlinear elliptic equations of Monge–Ampère type	0
Ulam stability of first-order nonlinear impulsive dynamic equations	0
On multiplicative conformable fractional integrals: theory and applications	0
Nonnegative solutions for indefinite Caffarelli–Kohn–Nirenberg-type problems with subcritical or critical growth	0
Solving one- and two-dimensional advection-diffusion type initial boundary value problems with a wavelet hybrid scheme	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
A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain	0
On a new fractional Sobolev space with variable exponent on complete manifolds	0
Mixed Cauchy problem with lateral boundary condition for noncharacteristic degenerate hyperbolic equations	0
Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions	0
Free convection inside a porous square cavity with convective boundary condition using spline functions	0
Higher-order p-Laplacian boundary value problems with resonance of dimension two on the half-line	0
A note on inhomogeneous fractional Schrödinger equations	0
Nonlinear differential equations with perturbed Dirichlet integral boundary conditions	0
A new method for high-order boundary value problems	0
Hybrid nanofluids and bioconvection: insights into bacterial behavior and particle interaction	0
Infinitely many solutions for the discrete Schrödinger equations with a nonlocal term	0
A qualitative study on the existence of positive solutions for local and nonlocal elliptic integro-differential quasilinear systems	0
Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions	0
Blow-up for the coupled system of wave equations with memory terms in Schwarzschild spacetime	0
Correction to: Solvability and Volterra property of nonlocal problems for mixed fractional-order diffusion-wave equation	0
An oscillation theorem for the nonlinear degenerate elliptic equation in the Heisenberg group	0
Global well-posedness of the compressible quantum magnetohydrodynamic model with small initial energy	0
New generalized Jacobi–Galerkin operational matrices of derivatives: an algorithm for solving the time-fractional coupled KdV equations	0
Sign-changing solutions for coupled Schrödinger system	0
Decay rate of the solutions to the Cauchy problem of the Bresse system in thermoelasticity of type III with distributed delay	0
Existence of infinitely many solutions of nonlinear fourth-order discrete boundary value problems	0
Existence of normalized solutions for Schrödinger systems with linear and nonlinear couplings	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
Analysis of mathematical model involving nonlinear systems of Caputo–Fabrizio fractional differential equation	0
Solvability of a moving contact-line problem with interface formation for an incompressible viscous fluid	0