Boundary Value Problems

Papers
(The TQCC of Boundary Value Problems is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)
ArticleCitations
Infinitely many solutions for three quasilinear Laplacian systems on weighted graphs40
A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law37
Blow-up phenomena for a nonlinear shallow water wave model27
A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions21
Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity20
Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques17
Significance of thermal radiation and suction/injection on flow and heat transfer of various nanofluids along expandable stretching horizontal cylinder15
Analysis of Caputo fractional variable order multi-point initial value problems: existence, uniqueness, and stability15
Exact differential transform method and semi-analytic Chebyshev collocation method for ordinary differential equations14
Existence and multiplicity of solutions for the Cauchy problem of a fractional Lorentz force equation12
The multiple birth properties of multi-type Markov branching processes11
On instability of Rayleigh–Taylor problem for incompressible liquid crystals under $L^{1}$-norm11
Gradient estimate of a Poisson equation under the almost Ricci solitons10
Turing instability in a modified cross-diffusion Leslie–Gower predator–prey model with Beddington–DeAngelis functional response10
Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics10
Novel exact solutions for PDEs with mixed boundary conditions10
Retraction Note: A remark on the a-minimally thin sets associated with the Schrödinger operator10
Nonexistence of interior bubbling solutions for slightly supercritical elliptic problems9
Periodic solution for neutral-type differential equation with piecewise impulses on time scales9
Application of the topological sensitivity method to the reconstruction of plasma equilibrium domain in a tokamak9
On global classical solutions to one-dimensional compressible Navier–Stokes/Allen–Cahn system with density-dependent viscosity and vacuum9
Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem8
Application of double Sumudu-generalized Laplace decomposition method and two-dimensional time-fractional coupled Burger’s equation8
Some results on stability and continuous dependence in Green-Naghdi thermoelasticity of Cosserat bodies8
Periodic solutions for second-order even and noneven Hamiltonian systems8
Nonexistence results of solutions of parabolic-type equations and systems on the Heisenberg group8
New type of the unique continuation property for a fractional diffusion equation and an inverse source problem7
Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations7
Optimal time-decay rates of the Keller–Segel system coupled to compressible Navier–Stokes equation in three dimensions7
On a composite obtained by a mixture of a dipolar solid with a Moore–Gibson–Thompson media7
Least energy nodal solutions for a weighted $(N, p)$-Schrödinger problem involving a continuous potential under exponential growth nonlinearity7
Affine periodic solutions for some stochastic differential equations6
New results on fractional advection–dispersion equations6
Novel results of Milne-type inequalities involving tempered fractional integrals6
Singularly perturbed quasilinear Choquard equations with nonlinearity satisfying Berestycki–Lions assumptions6
Optimal partial regularity of discontinuous subelliptic systems with VMO coefficients related to Hörmander’s vector fields6
Qualitative analysis of a prey–predator model with prey refuge and intraspecific competition among predators6
Arbitrary decay for a von Karman system with memory6
New estimates on generalized Hermite–Hadamard–Mercer-type inequalities5
On the analytical and numerical study for fractional q-integrodifferential equations5
Existence and uniqueness criterion of a periodic solution for a third-order neutral differential equation with multiple delay5
Existence and uniqueness of positive solution to a new class of nonlocal elliptic problem with parameter dependency5
Two-phase heat conduction problems with Sturm-type boundary conditions5
Numerical solution of Bratu’s boundary value problem based on Green’s function and a novel iterative scheme5
Existence theory on the Caputo-type fractional differential Langevin hybrid inclusion with variable coefficient5
On generalized $(k,\psi )$-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem5
On steady state of viscous compressible heat conducting full magnetohydrodynamic equations5
Numerical solution of system of second-order integro-differential equations using nonclassical sinc collocation method4
General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions4
An elliptic problem of the Prandtl–Batchelor type with a singularity4
The principal eigenvalue of some nth order linear boundary value problems4
Normalized ground states for a kind of Choquard–Kirchhoff equations with critical nonlinearities4
New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals4
Well posedness of a nonlinear mixed problem for a parabolic equation with integral condition4
Numerical solution of nonlinear partial differential equations using shifted Legendre collocation method4
Modeling two-phase gas-solid flow in axisymmetric diffusers using cut cell technique: an Eulerian-Eulerian approach4
On strong singular fractional version of the Sturm–Liouville equation4
Global dynamics for an SVEIR epidemic model with diffusion and nonlinear incidence rate4
Structural stability for double-diffusion Brinkman fluid with Soret effect4
Dynamics and stationary distribution of a stochastic SIRS epidemic model with a general incidence and immunity4
Multiple positive solutions of fractional differential equations with improper integral boundary conditions on the half-line4
Entropy solutions of elliptic equation from two phase problems4
Unique iterative solution for high-order nonlinear fractional q-difference equation based on $\psi -(h,r)$-concave operators4
A variational approach for mixed elliptic problems involving the p-Laplacian with two parameters4
On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation3
Nonlocal Lazer–McKenna-type problem perturbed by the Hardy’s potential and its parabolic equivalence3
Analysis of stochastic neutral fractional functional differential equations3
Creating new contractive mappings to obtain fixed points and data-dependence results under auxiliary functions3
Unveiling the dynamics of meningitis infections: a comprehensive study of a novel fractional-order model with optimal control strategies3
Multiplicity and nonexistence of positive solutions to impulsive Sturm–Liouville boundary value problems3
Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions3
A diffusive plankton system with time delay and habitat complexity effects under Neumann boundary condition3
Kohn–Vogelius formulation for plasma geometry identification problem3
Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces3
Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term3
Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator3
Multiplicity of weak solutions in double phase Kirchhoff elliptic problems with Neumann conditions3
Spectral framework using modified shifted Chebyshev polynomials of the third-kind for numerical solutions of one- and two-dimensional hyperbolic telegraph equations3
Positive solutions for a semipositone anisotropic p-Laplacian problem3
Regularity and uniqueness for the 3D compressible magnetohydrodynamic equations3
Internal feedback stabilization of multi-dimensional wave equations with a boundary delay: a numerical study3
Multiple solutions for singular semipositone boundary value problems of fourth-order differential systems with parameters3
New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals3
Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations3
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient3
Weighted pseudo S-asymptotic $(N,\lambda )$-periodic solutions to Volterra difference equations3
Ground state solutions for a class of Schrödinger–Poisson–Slater equation with Coulomb–Sobolev critical exponent2
Two modified shifted Chebyshev–Galerkin operational matrix methods for even-order partial boundary value problems2
Multiplicity of normalized solutions to a class of nonlinear fractional Schrödinger–Poisson systems with Hardy potential2
On the study of three-dimensional compressible Navier–Stokes equations2
Solvability of mixed Hilfer fractional functional boundary value problems with p-Laplacian at resonance2
Numerical approximation of the 3rd order pseudo-parabolic equation using collocation technique2
Existence results for coupled sequential ψ-Hilfer fractional impulsive BVPs: topological degree theory approach2
Construct new type solutions for the fractional Schrödinger equation2
Persistence properties and blow-up phenomena for a generalized Camassa–Holm equation2
Solutions for planar Kirchhoff-Schrödinger-Poisson systems with general nonlinearities2
Three solutions for fractional elliptic systems involving ψ-Hilfer operator2
Existence, uniqueness and stability analysis of a nonlinear coupled system involving mixed ϕ-Riemann-Liouville and ψ-Caputo fractional derivatives2
Existence and multiplicity of periodic solutions for a nonlinear resonance equation with singularities2
A minimum principle for stochastic control of hepatitis C epidemic model2
Existence and multiplicity of solutions of fractional differential equations on infinite intervals2
On global strong solutions to the 3D MHD flows with density-temperature-dependent viscosities2
Fixed Points of New Hybrid Contractions with Applications to Nonlinear Economic Models2
Dynamics and numerical analysis of a fractional-order toxoplasmosis model incorporating human and cat populations2
Existence results to a Leray–Lions type problem on the Heisenberg Lie groups2
Comparative analysis of pulsatile nanofluid flow under slip conditions through stenosed arteries2
Multiple solutions for a class of anisotropic p⃗-Laplacian problems2
Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity2
Multiple solutions for a quasilinear Schrödinger–Poisson system2
Research on singular Sturm–Liouville spectral problems with a weighted function2
The Robin problems for the coupled system of reaction–diffusion equations2
An inverse boundary value problem for transverse vibrations of a bar2
New error bounds for Newton’s formula associated with tempered fractional integrals2
Dynamical behavior of a degenerate parabolic equation with memory on the whole space2
Correction to: Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions2
Spectral analysis for the almost periodic quadratic pencil with impulse2
The existence of discrete solitons for the discrete coupled nonlinear Schrödinger system2
Generalized strongly n-polynomial convex functions and related inequalities2
Asymptotic behavior of plate equations driven by colored noise on unbounded domains2
Boundedness in a two-dimensional chemotaxis system with signal-dependent motility and logistic source2
Extension of Milne-type inequalities to Katugampola fractional integrals2
Utilizing fractional derivatives and sensitivity analysis in a random framework: a model-based approach to the investigation of random dynamics of malware spread2
Existence of exponential attractors for the coupled system of suspension bridge equations2
On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study2
Existence of positive solutions for a class of singular elliptic problems with convection term and critical exponential growth2
Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses2
Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential2
A weak solution for a $(p(x),q(x))$-Laplacian elliptic problem with a singular term1
Existence and multiplicity of solutions for a class of $(p,q)$-Kirchhoff system with combined nonlinearities on graphs1
The existence of positive solutions for the Neumann problem of p-Laplacian elliptic systems with Sobolev critical exponent1
An overdetermined problem of the biharmonic operator on Riemannian manifolds1
Three positive solutions for a nonlinear partial discrete Dirichlet problem with $(p,q)$-Laplacian operator1
Existence of entire radial solutions to Hessian type system1
Positive solutions for a class of fractional differential equations with infinite-point boundary conditions on infinite intervals1
On the noncooperative Schrödinger–Kirchhoff system involving the critical nonlinearities on the Heisenberg group1
Existence of solution of a system of non-linear differential inclusions with non-local, integral boundary conditions via fixed points of hybrid contractions1
Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term1
On nonlinear fractional Choquard equation with indefinite potential and general nonlinearity1
Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms1
On a power-type coupled system with mean curvature operator in Minkowski space1
$C^{1}$-Regularity for subelliptic systems with drift in the Heisenberg group: the superquadratic controllable growth1
A finite element approach to the Keller–Segel Chemotaxis system with impact of nonlocal diffusion1
Fractional evolution equation with Cauchy data in $L^{p}$ spaces1
Effect of slip boundary conditions on unsteady pulsatile nanofluid flow through a sinusoidal channel: an analytical study1
New versions of the Hermite–Hadamard inequality for $(\phi -h)$-integrals1
Impulsive coupled systems with regular and singular ϕ-Laplacians and generalized jump conditions1
Positive continuous solutions for some semilinear elliptic problems in the half space1
Singular perturbation boundary and interior layers problems with multiple turning points1
Some notes on conformable fractional Sturm–Liouville problems1
Fractal-fractional mathematical modeling of monkeypox disease and analysis of its Ulam–Hyers stability1
Remarks on a fractional nonlinear partial integro-differential equation via the new generalized multivariate Mittag-Leffler function1
On positive solutions of second-order delayed differential system with indefinite weight1
Competing anisotropic and Finsler $(p,q)$-Laplacian problems1
Fitted numerical method for singularly perturbed Burger–Huxley equation1
Multivalued nonmonotone dynamic boundary condition1
Barycentric Lagrange interpolation method for solving Love’s integral equations1
On a viscous fourth-order parabolic equation with boundary degeneracy1
The well posedness of solutions for the 2D magnetomicropolar boundary layer equations in an analytic framework1
Bifurcations, chaotic behavior, sensitivity analysis, and various soliton solutions for the extended nonlinear Schrödinger equation1
On a nonlocal implicit problem under Atangana–Baleanu–Caputo fractional derivative1
Retraction Note: Second-order impulsive differential systems of mixed type: oscillation theorems1
Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation1
Generalization of Hermite–Hadamard, trapezoid, and midpoint Mercer type inequalities for fractional integrals in multiplicative calculus1
Three new approaches for solving a class of strongly nonlinear two-point boundary value problems1
Stability and boundedness of solutions to a certain third-order neutral integro-differential equation with constant delay1
Existence theory and Ulam’s stabilities for switched coupled system of implicit impulsive fractional order Langevin equations1
Existence and uniqueness for a mixed fractional differential system with slit-strips conditions1
Implementation of the spectral element discretization of the nonstationary velocity–vorticity–pressure Stokes formulation1
Existence and nonexistence of solutions for an approximation of the Paneitz problem on spheres1
Retraction Note: New applications of Schrödingerean Green potential to boundary behaviors of superharmonic functions1
The exact solutions of Fokas-Lenells equation based on Jacobi elliptic function expansion method1
Upper and lower solutions method for a class of second-order coupled systems1
Short note on a solution with large amplitude for the limiting system arising from the competition-diffusion system1
Global solvability and boundedness to a attraction–repulsion model with logistic source1
Bifurcation mechanism and hybrid control strategy of a finance model with delays1
Generalized Tikhonov regularization method for an inverse boundary value problem of the fractional elliptic equation1
Analysis of a free boundary problem modeling spherically symmetric tumor growth with angiogenesis and a periodic supply of nutrients1
Existence of solutions for a class of Kirchhoff-type equations with indefinite potential1
Model boundary value problem for the Helmholtz equation in a nonconvex angle with periodic boundary data1
Multiplicity of positive periodic solutions to third-order variable coefficients singular dynamical systems1
The existence of solutions for Sturm–Liouville differential equation with random impulses and boundary value problems1
Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problems1
Advancing numerical solutions for a system of singularly perturbed delay differential equations at linear rate1
Blow-up of solution to semilinear wave equations with strong damping and scattering damping1
Oscillation of super-linear fourth-order differential equations with several sub-linear neutral terms1
Three solutions for a partial discrete Dirichlet boundary value problem with p-Laplacian1
Identification of the bulk modulus coefficient in the acoustic equation from boundary observation: a sentinel method1
Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions1
Multiple solutions for a system involving an anisotropic variable exponent operator1
A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus1
Nondegeneracy of the bubble solutions for critical equations involving the polyharmonic operator1
Structural stability for the Forchheimer equations interfacing with a Darcy fluid in a bounded region in $\mathbb{R}^{3}$1
On the singular-hybrid type of the Langevin fractional differential equation with a numerical approach1
Fractional B-spline collocation method for the numerical solution of the fractional pantograph differential equations1
Robust and accurate numerical framework for multi-dimensional fractional-order telegraph equations using Jacobi/Jacobi-Romanovski spectral technique1
Scattering for 2D quasilinear wave equations with null conditions1
Existence and stability of a q-Caputo fractional jerk differential equation having anti-periodic boundary conditions1
Existence and multiplicity of radially symmetric k-admissible solutions for a k-Hessian equation1
On the critical behavior for time-fractional pseudo-parabolic-type equations with combined nonlinearities1
Turing instability in the Lengyel–Epstein fractional Laplacian system1
An existence of the solution for generalized system of fractional q-differential inclusions involving p-Laplacian operator and sequential derivatives1
Energy decay rate of piezoelectric beams with damped electrical field in Lorenz gauge setting1
Hybrid interpolative mappings for solving fractional Navier–Stokes and functional differential equations1
Analysis of hybrid fractional differential equations with nonlocal boundary conditions and linear perturbations1
Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator1
A comprehensive study on Milne-type inequalities with tempered fractional integrals1
Existence of ground state solutions for a class of Choquard equations with local nonlinear perturbation and variable potential1
Optimal control for a chemotaxis–haptotaxis model in two space dimensions1
New insights into fractional twin-core couplers: bifurcation and sensitivity analysis1
Normal periodic solutions for the fractional abstract Cauchy problem1
Minimax optimal control problems for an extensible beam equation with uncertain initial velocity1
0.05672287940979