Boundary Value Problems

Article	Citations
On strong singular fractional version of the Sturm–Liouville equation	49
Kohn–Vogelius formulation for plasma geometry identification problem	44
Least energy nodal solutions for a weighted $(N, p)$-Schrödinger problem involving a continuous potential under exponential growth nonlinearity	28
On steady state of viscous compressible heat conducting full magnetohydrodynamic equations	23
A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions	20
Blow-up phenomena for a nonlinear shallow water wave model	18
Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator	17
Positive solutions for a semipositone anisotropic p-Laplacian problem	16
Existence, uniqueness and stability analysis for a $\mathfrak{f}$-Caputo generalized proportional fractional boundary problem with distinct generalized integral conditions	16
Multiplicity of weak solutions in double phase Kirchhoff elliptic problems with Neumann conditions	15
Unveiling the dynamics of meningitis infections: a comprehensive study of a novel fractional-order model with optimal control strategies	14
General decay for the viscoelastic wave equation for Kirchhoff-type containing Balakrishnan-Taylor damping, nonlinear damping and logarithmic source term under acoustic boundary conditions	13
On global classical solutions to one-dimensional compressible Navier–Stokes/Allen–Cahn system with density-dependent viscosity and vacuum	13
On the critical behavior for time-fractional pseudo-parabolic-type equations with combined nonlinearities	12
Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques	12
Solvability of mixed Hilfer fractional functional boundary value problems with p-Laplacian at resonance	12
Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential	12
Positive solutions to a coupled singular anisotropic system with nonstandard growth and singular nonlinearities	12
Existence and uniqueness for a mixed fractional differential system with slit-strips conditions	11
Pairwise and polynomial contractions in b-metric spaces with applications to boundary value problems of diffusion phenomena and integral-type contractions	11
Bifurcation mechanism and hybrid control strategy of a finance model with delays	11
Correction to: Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	10
Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity	10
The existence of solutions for Sturm–Liouville differential equation with random impulses and boundary value problems	10
On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study	10

Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses	10
Extension of Milne-type inequalities to Katugampola fractional integrals	10
New product-type oscillation criteria for first-order linear differential equations with several nonmonotone arguments	9
Generalized Tikhonov regularization method for an inverse boundary value problem of the fractional elliptic equation	9
Blow-up criteria of the simplified Ericksen–Leslie system	9
Dynamics and numerical analysis of a fractional-order toxoplasmosis model incorporating human and cat populations	9
Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator	9
Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model	9
Existence and multiplicity of nontrivial solutions for poly-Laplacian systems on finite graphs	8
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients	8
Classical and nonclassical Lie symmetries, bifurcation analysis, and Jacobi elliptic function solutions to a 3D-modified nonlinear wave equation in liquid involving gas bubbles	8
An accurate approximation technique based on Schröder operational matrices for numerical treatments of time-fractional nonlinear generalized Kawahara equation	8
Turing instability in the Lengyel–Epstein fractional Laplacian system	8
Complex potentials solutions for isotropic Cosserat bodies with voids	7
On Green’s function of Cauchy–Dirichlet problem for hyperbolic equation in a quarter plane	7
Exploring solutions to specific class of fractional differential equations of order $3<\hat{u}\leq 4$	7
Decay of the 3D Lüst model	7
Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses	7
On a Vlasov equation model for two-phase fluid flow	7
On fractional order multiple integral transforms technique to handle three dimensional heat equation	7
The fundamental solution and blow-up problem of an anisotropic parabolic equation	7
Simpson’s quadrature formula for third differentiable and s-convex functions	6
Time decay of solutions for compressible isentropic non-Newtonian fluids	6
Oscillatory and spectral properties of fourth-order differential operator and weighted differential inequality with boundary conditions	6
Positive solutions for the Riemann–Liouville-type fractional differential equation system with infinite-point boundary conditions on infinite intervals	6
Existence of triple solutions for elliptic equations driven by p-Laplacian-like operators with Hardy potential under Dirichlet–Neumann boundary conditions	6
On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime	6
Nondegeneracy of the solutions for elliptic problem with critical exponent	6
New approaches to corrected Euler–Maclaurin-type inequalities involving Riemann–Liouville fractional integrals for different function classes	6
A note on global existence of strong solution to the 3D micropolar equations with a damping term	6
The existence, uniqueness, and stability results for a nonlinear coupled system using ψ-Caputo fractional derivatives	5
Solutions to a $(p(x),q(x))$-biharmonic elliptic problem on a bounded domain	5
Sign-changing solutions for coupled Schrödinger system	5
Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative	5
Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms	5
Blow-up for the coupled system of wave equations with memory terms in Schwarzschild spacetime	5
Reflected backward stochastic partial differential equations driven by Teugels martingales	5
Blow-up of solutions to the semilinear wave equation with scale invariant damping on exterior domain	5
Hybrid nanofluids and bioconvection: insights into bacterial behavior and particle interaction	5
Effect of the protection zone in a diffusive ratio-dependent predator–prey model with fear and Allee effect	5
Analysis of the magneto-thermoelastic vibrations of rotating Euler–Bernoulli nanobeams using the nonlocal elasticity model	5
Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions	5
Effects of Lévy noise and impulsive action on the averaging principle of Atangana–Baleanu fractional stochastic delay differential equations	5
Infinitely many solutions for quasilinear Schrödinger equation with concave-convex nonlinearities	5
A necessary and sufficient condition for the existence of global solutions to reaction-diffusion equations on bounded domains	4
Fractional integral related to Schrödinger operator on vanishing generalized mixed Morrey spaces	4
Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions	4
Enhanced shifted Jacobi operational matrices of integrals: spectral algorithm for solving some types of ordinary and fractional differential equations	4
Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations	4
Analysis of stochastic neutral fractional functional differential equations	4

Numerical solution of Bratu’s boundary value problem based on Green’s function and a novel iterative scheme	4
Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses	4
Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space	4
$(\mathtt{k},\varphi )$-Hilfer fractional Langevin differential equation having multipoint boundary conditions	4
Milne-type inequalities for third differentiable and h-convex functions	4
Application of double Sumudu-generalized Laplace decomposition method and two-dimensional time-fractional coupled Burger’s equation	4
Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem	4
On a composite obtained by a mixture of a dipolar solid with a Moore–Gibson–Thompson media	4
The posteriori analysis of the spectral element discretization of the wave equation	4
A new type of solutions for a nonlinear Schrödinger system with $\chi ^{(2)}$ nonlinearities	4
Some new existence results of positive solutions for anisotropic variable exponent operator	4
Global well-posedness and large time behavior of epitaxy thin film growth model	4
Gradient estimate of a Poisson equation under the almost Ricci solitons	4
On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation	4
Singularly perturbed quasilinear Choquard equations with nonlinearity satisfying Berestycki–Lions assumptions	4
An application of artificial neural networks for solving fractional higher-order linear integro-differential equations	4
Advanced neural network approaches for coupled equations with fractional derivatives	3
Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions	3
Generalized strongly n-polynomial convex functions and related inequalities	3
Three positive solutions for a nonlinear partial discrete Dirichlet problem with $(p,q)$-Laplacian operator	3
Determining the intersample response of state feedback control systems using boundary value problems	3
Normalized ground state solutions for a biharmonic equation involving critical exponential growth in $\mathbb{R}^{4}$	3
On generalized $(k,\psi )$-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem	3
On the analytical and numerical study for fractional q-integrodifferential equations	3
Existence and uniqueness of positive solution to a new class of nonlocal elliptic problem with parameter dependency	3
On the study of three-dimensional compressible Navier–Stokes equations	3
Existence results to a Leray–Lions type problem on the Heisenberg Lie groups	3
Dynamical and optimal control analyses of tinea corporis fungal infection transmission using mathematical modeling approach	3
A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus	3
Two modified shifted Chebyshev–Galerkin operational matrix methods for even-order partial boundary value problems	3
Some notes on conformable fractional Sturm–Liouville problems	3
Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations	3
A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law	3
New estimates on generalized Hermite–Hadamard–Mercer-type inequalities	3
New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals	3
Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics	3
Impulsive coupled systems with regular and singular ϕ-Laplacians and generalized jump conditions	3
Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term	3
Bifurcations, chaotic behavior, sensitivity analysis, and various soliton solutions for the extended nonlinear Schrödinger equation	3
Optimal control for a chemotaxis–haptotaxis model in two space dimensions	3
Minimum and comparison principles for semilinear nonlocal reaction–diffusion equations	3
Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms	3
Multiple solutions for a quasilinear Schrödinger–Poisson system	3
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient	3
Qualitative analysis of a prey–predator model with prey refuge and intraspecific competition among predators	3
Existence results for coupled sequential ψ-Hilfer fractional impulsive BVPs: topological degree theory approach	3
Two-phase heat conduction problems with Sturm-type boundary conditions	3
Blow-up of solution to semilinear wave equations with strong damping and scattering damping	3
Stochastic analysis and soliton solutions of the Chaffee–Infante equation in nonlinear optical media	2
Novel exact solutions for PDEs with mixed boundary conditions	2
Determination of rigid inclusions immersed in an isotropic elastic body from boundary measurement	2
Novel computations of the time-fractional chemical Schnakenberg mathematical model via non-singular kernel operators	2
Positive continuous solutions for some semilinear elliptic problems in the half space	2
Strong solution of 3D generalized Navier–Stokes equations with damping	2
Boundary value problems for second-order causal differential equations	2
Inverse problem for cracked inhomogeneous Kirchhoff–Love plate with two hinged rigid inclusions	2
An inhomogeneous perturbation for a class of nonlinear scalar field equations	2
Optimal decay-in-time rates of solutions to the Cauchy problem of 3D compressible magneto-micropolar fluids	2
Minimal wave speed and traveling wave in nonlocal dispersion SIS epidemic model with delay	2
Periodic solutions for second-order even and noneven Hamiltonian systems	2
Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current	2
Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity	2
$(\omega ,c)$-periodic solutions for a class of fractional integrodifferential equations	2
Multiple solutions for singular semipositone boundary value problems of fourth-order differential systems with parameters	2
Weyl-type eigenvalue bounds for the fractional p-Laplacian	2
A class of Schrödinger elliptic equations involving supercritical exponential growth	2
Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases	2
Nonexistence of positive solutions for the weighted higher-order elliptic system with Navier boundary condition	2
A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation	2
Generalized J-integral – mathematical foundation	2
Existence and multiplicity of solutions for $p(x)$-Laplacian problem with Steklov boundary condition	2
An effective numerical method for solving fractional delay differential equations using fractional-order Chelyshkov functions	2
A coupled complex mKdV equation and its N-soliton solutions via the Riemann–Hilbert approach	2
Existence and asymptotic properties of singular solutions of nonlinear elliptic equations in $R^{n}\backslash\{0\}$	2
Existence and nonexistence of solutions for an approximation of the Paneitz problem on spheres	2
Fractional magnetohydrodynamic Casson fluid flow with thermal radiation and buoyancy effects: a constant proportional Caputo model	2
A Stackelberg reinsurance-investment game with derivatives trading	2
Analysis of Caputo fractional variable order multi-point initial value problems: existence, uniqueness, and stability	2
High perturbations of a new Kirchhoff problem involving the p-Laplace operator	2
Modeling and numerical simulation of Maxwell nanofluid flow with heat generation and convective heating: a combined Adomian decomposition method and Mohand transform	2

Initial boundary value problem for a viscoelastic wave equation with Balakrishnan–Taylor damping and a delay term: decay estimates and blow-up result	2
Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces	2
Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity	2
A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers–Ulam stability	2
Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread	2
A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality	2
Competing anisotropic and Finsler $(p,q)$-Laplacian problems	2
Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions	2
Model boundary value problem for the Helmholtz equation in a nonconvex angle with periodic boundary data	2
Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	2
Multipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions	2
Index theory and multiple solutions for asymptotically linear second-order delay differential equations	2
Identification of the bulk modulus coefficient in the acoustic equation from boundary observation: a sentinel method	2
Analysis of a hybrid integro-differential inclusion	2
Optimal time-decay rates of the Keller–Segel system coupled to compressible Navier–Stokes equation in three dimensions	2
New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals	2
Almost sure exponential stability of nonlinear stochastic delay hybrid systems driven by G-Brownian motion	2
Arbitrary decay for a von Karman system with memory	2
Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators	2
Non-Newtonian nanofluid flow across an exponentially stretching sheet with viscous dissipation: numerical study using an SCM based on Appell–Changhee polynomials	2
Global attractors for a nonlinear viscoelastic equations with strong damping velocity-dependent material density	1
Analysis of multipoint impulsive problem of fractional-order differential equations	1
Smooth dynamics of a sup-cubic wave equation with delays	1
Existence and stability analysis for Caputo generalized hybrid Langevin differential systems involving three-point boundary conditions	1
Uniform stability of a strong time-delayed viscoelastic system with Balakrishnan–Taylor damping	1
Spectral element discretization of the time-dependent Stokes problem with nonstandard boundary conditions	1
Existence and stability results for nonlocal boundary value problems of fractional order	1
A faster iterative method for solving nonlinear third-order BVPs based on Green’s function	1
Existence of positive solutions for a class of p-Laplacian fractional differential equations with nonlocal boundary conditions	1
Optimal partial regularity of discontinuous subelliptic systems with VMO coefficients related to Hörmander’s vector fields	1
New generalized Jacobi–Galerkin operational matrices of derivatives: an algorithm for solving the time-fractional coupled KdV equations	1
Nonlinear Markov branching processes with immigration and resurrection	1
Ground state solutions for a kind of superlinear elliptic equations with variable exponent	1
On a viscous fourth-order parabolic equation with boundary degeneracy	1
Existence and multiplicity of solutions for the Cauchy problem of a fractional Lorentz force equation	1
Well posedness of a nonlinear mixed problem for a parabolic equation with integral condition	1
Exact differential transform method and semi-analytic Chebyshev collocation method for ordinary differential equations	1
Modeling two-phase gas-solid flow in axisymmetric diffusers using cut cell technique: an Eulerian-Eulerian approach	1
Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations	1
An inverse boundary value problem for transverse vibrations of a bar	1
The existence of discrete solitons for the discrete coupled nonlinear Schrödinger system	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
Periodic solution for neutral-type differential equation with piecewise impulses on time scales	1
Existence and multiplicity of periodic solutions for a nonlinear resonance equation with singularities	1
A relation-theoretic set-valued version of Prešić-Ćirić theorem and applications	1
Fractional B-spline collocation method for the numerical solution of the fractional pantograph differential equations	1
The partial boundary value conditions of nonlinear degenerate parabolic equation	1
Existence of positive solutions for a class of singular elliptic problems with convection term and critical exponential growth	1
Small-convection limit for two-dimensional chemotaxis-Navier–Stokes system with logarithmic sensitivity and logistic-type source	1
General decay for a viscoelastic von Karman equation with delay and variable exponent nonlinearities	1
Solvability of a moving contact-line problem with interface formation for an incompressible viscous fluid	1
Existence of positive solutions for Lidstone boundary value problems on time scales	1
Computational methods and dynamical analysis for studying $(1 + 1)$ dimensional functional equations of mixed integro-differential type	1
New views on RLC-electric circuit models via combinational contractions	1
A novel quintic B-spline technique for numerical solution of fourth-order singularly-perturbed boundary value problems with discontinuous source terms	1
General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions	1
Ground-state sign-changing homoclinic solutions for a discrete nonlinear p-Laplacian equation with logarithmic nonlinearity	1
Time accurate solution to Benjamin–Bona–Mahony–Burgers equation via Taylor–Boubaker series scheme	1
A numerical technique for solving neutral Hilfer fractional differential equation with constant delay using Legendre wavelet method	1
Persistence properties and blow-up phenomena for a generalized Camassa–Holm equation	1
Numerical solution of system of second-order integro-differential equations using nonclassical sinc collocation method	1
Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions	1
Fixed point theorems for interpolative orthogonal relational in TVS-valued cone metric spaces	1
Boundedness in a two-dimensional chemotaxis system with signal-dependent motility and logistic source	1
Fractional integral inequalities for strongly convex functions via multiplicative calculus with applications	1
A finite element approach to the Keller–Segel Chemotaxis system with impact of nonlocal diffusion	1
Generalization of Hermite–Hadamard, trapezoid, and midpoint Mercer type inequalities for fractional integrals in multiplicative calculus	1
Existence of ground state solutions for a class of Choquard equations with local nonlinear perturbation and variable potential	1
Numerical solutions for nonlinear ordinary and fractional Newell–Whitehead–Segel equation using shifted Schröder polynomials	1
Analysis of hybrid fractional differential equations with nonlocal boundary conditions and linear perturbations	1
Applying periodic and anti-periodic boundary conditions in existence results of fractional differential equations via nonlinear contractive mappings	1
A novel approach to Caputo–Hadamard pantograph problems in $\mathfrak{L}^{\mathsf{p}}$-spaces	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
Simpson-type inequalities for the functions with bounded second derivatives involving generalized fractional integrals	1
Spatiotemporal dynamics in a delayed diffusive predator–prey system with nonlocal competition in prey and schooling behavior among predators	1
On qualitative analysis of boundary value problem of variable order fractional delay differential equations	1
Existence of normalized solutions for Schrödinger systems with linear and nonlinear couplings	1
Existence and multiplicity of solutions for fractional $p_{1}(x,\cdot )\& p_{2}(x,\cdot )$-Laplacian Schrödinger-type equations with Robin boundary conditions	1
Affine periodic solutions for some stochastic differential equations	1
Stability analysis of a class of Langevin equations in the frame of generalized Caputo fractional operator with nonlocal boundary conditions	1
Boundary value problems of quaternion-valued differential equations: solvability and Green’s function	1
Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative	1
Ground state solutions for elliptic Kirchhoff–Boussinesq type problems with supercritical exponential growth	1
A variational approach for mixed elliptic problems involving the p-Laplacian with two parameters	1
Existence of the positive solutions for boundary value problems of mixed differential equations involving the Caputo and Riemann–Liouville fractional derivatives	1
On the solutions of a nonlinear system of q-difference equations	1
Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term	1
Nonlinear dynamical analysis of racism diffusion using a fractional-order model with optimal control and cost-effectiveness assessments	1
The Robin problems for the coupled system of reaction–diffusion equations	1
On a class of a coupled nonlinear viscoelastic Kirchhoff equations variable-exponents: global existence, blow up, growth and decay of solutions	1
Comparative analysis of pulsatile nanofluid flow under slip conditions through stenosed arteries	1
Exponential decay and blow-up results of a logarithmic nonlinear wave equation having infinite memory and strong time-varying delay	1
Modified Meir-Keeler-type contraction in fuzzy metric spaces for single-valued and set-valued mappings with solution to boundary value problem	1
Stability and boundedness of solutions to a certain third-order neutral integro-differential equation with constant delay	1
Nonexistence of interior bubbling solutions for slightly supercritical elliptic problems	1