Boundary Value Problems

Article	Citations
On strong singular fractional version of the Sturm–Liouville equation	51
Kohn–Vogelius formulation for plasma geometry identification problem	45
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	20
A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions	19
Blow-up phenomena for a nonlinear shallow water wave model	18
Positive solutions for a semipositone anisotropic p-Laplacian problem	16
On global classical solutions to one-dimensional compressible Navier–Stokes/Allen–Cahn system with density-dependent viscosity and vacuum	16
Existence, uniqueness and stability analysis for a $\mathfrak{f}$-Caputo generalized proportional fractional boundary problem with distinct generalized integral conditions	16
Positive solutions to a coupled singular anisotropic system with nonstandard growth and singular nonlinearities	15
Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques	14
Unveiling the dynamics of meningitis infections: a comprehensive study of a novel fractional-order model with optimal control strategies	13
Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator	13
General decay for the viscoelastic wave equation for Kirchhoff-type containing Balakrishnan-Taylor damping, nonlinear damping and logarithmic source term under acoustic boundary conditions	12
Multiplicity of weak solutions in double phase Kirchhoff elliptic problems with Neumann conditions	12
On the critical behavior for time-fractional pseudo-parabolic-type equations with combined nonlinearities	12
An accurate tau-based spectral algorithm for the time fractional bioheat transfer model	12
Solvability of mixed Hilfer fractional functional boundary value problems with p-Laplacian at resonance	12
Existence and uniqueness for a mixed fractional differential system with slit-strips conditions	11
Correction to: Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	11
Pairwise and polynomial contractions in b-metric spaces with applications to boundary value problems of diffusion phenomena and integral-type contractions	11
The existence of solutions for Sturm–Liouville differential equation with random impulses and boundary value problems	11
Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential	11
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

Bifurcation mechanism and hybrid control strategy of a finance model with delays	10
On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study	10
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
Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model	9
Ulam stability and solution behavior of implicit fractional Volterra-Fredholm equations via generalized Hilfer-Katugampola calculus	9
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
Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity	9
Turing instability in the Lengyel–Epstein fractional Laplacian system	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
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients	8
An accurate approximation technique based on Schröder operational matrices for numerical treatments of time-fractional nonlinear generalized Kawahara equation	8
Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator	8
Existence and multiplicity of nontrivial solutions for poly-Laplacian systems on finite graphs	8
On fractional order multiple integral transforms technique to handle three dimensional heat equation	7
On a Vlasov equation model for two-phase fluid flow	7
Complex potentials solutions for isotropic Cosserat bodies with voids	7
Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses	7
Chaotic behavior, sensitive analysis and dynamics of invariant formulation of nonclassical symmetries to the nonlinear Tzitzéica equation arising in mathematical physics	7
Decay of the 3D Lüst model	7
The fundamental solution and blow-up problem of an anisotropic parabolic equation	7
Positive solutions for the Riemann–Liouville-type fractional differential equation system with infinite-point boundary conditions on infinite intervals	7
Oscillatory and spectral properties of fourth-order differential operator and weighted differential inequality with boundary conditions	6
Nondegeneracy of the solutions for elliptic problem with critical exponent	6
The existence, uniqueness, and stability results for a nonlinear coupled system using ψ-Caputo fractional derivatives	6
Extended Lyapunov stability analysis to the power fractional differential equations	6
Simpson’s quadrature formula for third differentiable and s-convex functions	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
New approaches to corrected Euler–Maclaurin-type inequalities involving Riemann–Liouville fractional integrals for different function classes	6
Time decay of solutions for compressible isentropic non-Newtonian fluids	6
Reflected backward stochastic partial differential equations driven by Teugels martingales	6
Analysis of the magneto-thermoelastic vibrations of rotating Euler–Bernoulli nanobeams using the nonlocal elasticity model	6
Infinitely many solutions for quasilinear Schrödinger equation with concave-convex nonlinearities	5
Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms	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
Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions	5
Pullback attractors for 2D MHD equations with delays on unbounded domains	5
Solutions to a $(p(x),q(x))$-biharmonic elliptic problem on a bounded domain	5
Blow-up of solutions to the semilinear wave equation with scale invariant damping on exterior domain	5
Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative	5
Boundary layer analysis of variable viscosity Casson fluid over a Riga plate with Caputo fractional derivative and thermal radiation	5
Effect of the protection zone in a diffusive ratio-dependent predator–prey model with fear and Allee effect	5
Exploring solutions to specific class of fractional differential equations of order $3<\hat{u}\leq 4$	5
Sign-changing solutions for coupled Schrödinger system	5
Hybrid nanofluids and bioconvection: insights into bacterial behavior and particle interaction	5
Blow-up for the coupled system of wave equations with memory terms in Schwarzschild spacetime	5
Numerical solution of Bratu’s boundary value problem based on Green’s function and a novel iterative scheme	4

$(\mathtt{k},\varphi )$-Hilfer fractional Langevin differential equation having multipoint boundary conditions	4
Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space	4
The posteriori analysis of the spectral element discretization of the wave equation	4
A necessary and sufficient condition for the existence of global solutions to reaction-diffusion equations on bounded domains	4
An application of artificial neural networks for solving fractional higher-order linear integro-differential equations	4
Enhanced algorithms for solving the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem	4
A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law	4
Normalized ground state solutions for a biharmonic equation involving critical exponential growth in $\mathbb{R}^{4}$	4
Singularly perturbed quasilinear Choquard equations with nonlinearity satisfying Berestycki–Lions assumptions	4
Milne-type inequalities for third differentiable and h-convex functions	4
Some new existence results of positive solutions for anisotropic variable exponent operator	4
Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses	4
Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations	4
On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation	4
Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics	4
Gradient estimate of a Poisson equation under the almost Ricci solitons	4
On a composite obtained by a mixture of a dipolar solid with a Moore–Gibson–Thompson media	4
Fractional integral related to Schrödinger operator on vanishing generalized mixed Morrey spaces	4
Global well-posedness and large time behavior of epitaxy thin film growth model	4
A new type of solutions for a nonlinear Schrödinger system with $\chi ^{(2)}$ nonlinearities	4
Enhanced shifted Jacobi operational matrices of integrals: spectral algorithm for solving some types of ordinary and fractional differential equations	4
Existence and uniqueness of positive solution to a new class of nonlocal elliptic problem with parameter dependency	4
Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations	4
Some notes on conformable fractional Sturm–Liouville problems	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
Dynamical and optimal control analyses of tinea corporis fungal infection transmission using mathematical modeling approach	3
Generalized strongly n-polynomial convex functions and related inequalities	3
On the study of three-dimensional compressible Navier–Stokes equations	3
Qualitative analysis of a prey–predator model with prey refuge and intraspecific competition among predators	3
On generalized $(k,\psi )$-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem	3
Determining the intersample response of state feedback control systems using boundary value problems	3
New estimates on generalized Hermite–Hadamard–Mercer-type inequalities	3
Blow-up of solution to semilinear wave equations with strong damping and scattering damping	3
A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation	3
Optimal control for a chemotaxis–haptotaxis model in two space dimensions	3
Existence and nonexistence of solutions for an approximation of the Paneitz problem on spheres	3
A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus	3
Minimum and comparison principles for semilinear nonlocal reaction–diffusion equations	3
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient	3
Existence results for coupled sequential ψ-Hilfer fractional impulsive BVPs: topological degree theory approach	3
An analysis of nonlinear integro-differential equations with four-point nonlocal BVP using Ψ-Caputo fractional derivative	3
Existence and stability results of f-Caputo modified proportional fractional delay differential systems with boundary conditions	3
Two-phase heat conduction problems with Sturm-type boundary conditions	3
Analysis of stochastic neutral fractional functional differential equations	3
Three positive solutions for a nonlinear partial discrete Dirichlet problem with $(p,q)$-Laplacian operator	3
Identification of the bulk modulus coefficient in the acoustic equation from boundary observation: a sentinel method	3
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
Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms	3
Two modified shifted Chebyshev–Galerkin operational matrix methods for even-order partial boundary value problems	3
Existence results to a Leray–Lions type problem on the Heisenberg Lie groups	3
Multiple solutions for a quasilinear Schrödinger–Poisson system	3
On the analytical and numerical study for fractional q-integrodifferential equations	3
Application of double Sumudu-generalized Laplace decomposition method and two-dimensional time-fractional coupled Burger’s equation	3
New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals	3
Impulsive coupled systems with regular and singular ϕ-Laplacians and generalized jump conditions	3
Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces	2
Minimal wave speed and traveling wave in nonlocal dispersion SIS epidemic model with delay	2
Almost sure exponential stability of nonlinear stochastic delay hybrid systems driven by G-Brownian motion	2
Boundary value problems for second-order causal differential equations	2
Strong solution of 3D generalized Navier–Stokes equations with damping	2
Fractional magnetohydrodynamic Casson fluid flow with thermal radiation and buoyancy effects: a constant proportional Caputo model	2
Inverse problem for cracked inhomogeneous Kirchhoff–Love plate with two hinged rigid inclusions	2
Existence and multiplicity of solutions for $p(x)$-Laplacian problem with Steklov boundary condition	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
High perturbations of a new Kirchhoff problem involving the p-Laplace operator	2
Thermal radiation and diffusion effects on MHD sisko fluid flow over a nonlinearly stretchable porous sheet	2
Novel computations of the time-fractional chemical Schnakenberg mathematical model via non-singular kernel operators	2
Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators	2
New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals	2
Optimal decay-in-time rates of solutions to the Cauchy problem of 3D compressible magneto-micropolar fluids	2
Arbitrary decay for a von Karman system with memory	2
Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term	2
Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current	2
Generalized J-integral – mathematical foundation	2
Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity	2
Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases	2
Index theory and multiple solutions for asymptotically linear second-order delay differential equations	2

Competing anisotropic and Finsler $(p,q)$-Laplacian problems	2
Existence and asymptotic properties of singular solutions of nonlinear elliptic equations in $R^{n}\backslash\{0\}$	2
Model boundary value problem for the Helmholtz equation in a nonconvex angle with periodic boundary data	2
An inhomogeneous perturbation for a class of nonlinear scalar field equations	2
A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality	2
Sturm-Liouville problems with nonlinear dependence on the spectral parameter in the boundary conditions	2
$(\omega ,c)$-periodic solutions for a class of fractional integrodifferential equations	2
Optimal time-decay rates of the Keller–Segel system coupled to compressible Navier–Stokes equation in three dimensions	2
Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread	2
Novel exact solutions for PDEs with mixed boundary conditions	2
Stochastic analysis and soliton solutions of the Chaffee–Infante equation in nonlinear optical media	2
Multiple solutions for singular semipositone boundary value problems of fourth-order differential systems with parameters	2
Non-Newtonian nanofluid flow across an exponentially stretching sheet with viscous dissipation: numerical study using an SCM based on Appell–Changhee polynomials	2
Analysis of a hybrid integro-differential inclusion	2
Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions	2
Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity	2
Determination of rigid inclusions immersed in an isotropic elastic body from boundary measurement	2
An effective numerical method for solving fractional delay differential equations using fractional-order Chelyshkov functions	2
Positive continuous solutions for some semilinear elliptic problems in the half space	2
Nonexistence of positive solutions for the weighted higher-order elliptic system with Navier boundary condition	2
A coupled complex mKdV equation and its N-soliton solutions via the Riemann–Hilbert approach	2
A Stackelberg reinsurance-investment game with derivatives trading	2
A class of Schrödinger elliptic equations involving supercritical exponential growth	2
Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions	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
Periodic solutions for second-order even and noneven Hamiltonian systems	2
Weyl-type eigenvalue bounds for the fractional p-Laplacian	2
Modeling and numerical simulation of Maxwell nanofluid flow with heat generation and convective heating: a combined Adomian decomposition method and Mohand transform	2
Fractional B-spline collocation method for the numerical solution of the fractional pantograph differential equations	1
Fixed point theorems for interpolative orthogonal relational in TVS-valued cone metric spaces	1
Existence and stability analysis for Caputo generalized hybrid Langevin differential systems involving three-point boundary conditions	1
Persistence properties and blow-up phenomena for a generalized Camassa–Holm equation	1
Spectral element discretization of the time-dependent Stokes problem with nonstandard boundary conditions	1
Stability and boundedness of solutions to a certain third-order neutral integro-differential equation with constant delay	1
A faster iterative method for solving nonlinear third-order BVPs based on Green’s function	1
The partial boundary value conditions of nonlinear degenerate parabolic equation	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
A note on the mass-critical inhomogeneous generalized Hartree equation	1
General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions	1
Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative	1
Exact differential transform method and semi-analytic Chebyshev collocation method for ordinary differential equations	1
Ground state solutions for a kind of superlinear elliptic equations with variable exponent	1
Boundedness in a two-dimensional chemotaxis system with signal-dependent motility and logistic source	1
Nonlinear dynamical analysis of racism diffusion using a fractional-order model with optimal control and cost-effectiveness assessments	1
On a class of a coupled nonlinear viscoelastic Kirchhoff equations variable-exponents: global existence, blow up, growth and decay of solutions	1
On a viscous fourth-order parabolic equation with boundary degeneracy	1
Numerical solution of system of second-order integro-differential equations using nonclassical sinc collocation method	1
Uniform stability of a strong time-delayed viscoelastic system with Balakrishnan–Taylor damping	1
Comparative analysis of pulsatile nanofluid flow under slip conditions through stenosed arteries	1
Analysis of hybrid fractional differential equations with nonlocal boundary conditions and linear perturbations	1
Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations	1
A relation-theoretic set-valued version of Prešić-Ćirić theorem and applications	1
A novel approach to Caputo–Hadamard pantograph problems in $\mathfrak{L}^{\mathsf{p}}$-spaces	1
Existence of normalized solutions for Schrödinger systems with linear and nonlinear couplings	1
Exponential decay and blow-up results of a logarithmic nonlinear wave equation having infinite memory and strong time-varying delay	1
Solvability of a moving contact-line problem with interface formation for an incompressible viscous fluid	1
Analysis of multipoint impulsive problem of fractional-order differential equations	1
Ground-state sign-changing homoclinic solutions for a discrete nonlinear p-Laplacian equation with logarithmic nonlinearity	1
On qualitative analysis of boundary value problem of variable order fractional delay differential equations	1
New views on RLC-electric circuit models via combinational contractions	1
Affine periodic solutions for some stochastic differential equations	1
A variational approach for mixed elliptic problems involving the p-Laplacian with two parameters	1
Using block-pulse basis functions for solving the stochastic fractional integral equations with respect to fractional Brownian motion numerically	1
Modeling two-phase gas-solid flow in axisymmetric diffusers using cut cell technique: an Eulerian-Eulerian approach	1
On the solutions of a nonlinear system of q-difference equations	1
Computational methods and dynamical analysis for studying $(1 + 1)$ dimensional functional equations of mixed integro-differential type	1
The Robin problems for the coupled system of reaction–diffusion equations	1
Caputo fractional derivative in the solution of Kolmogorov equations: a new numerical approach	1
A finite element approach to the Keller–Segel Chemotaxis system with impact of nonlocal diffusion	1
Ground state solutions of nonlocal equations with variable exponents and mixed criticality	1
Existence of ground state solutions for a class of Choquard equations with local nonlinear perturbation and variable potential	1
The existence of discrete solitons for the discrete coupled nonlinear Schrödinger system	1
Global attractors for a nonlinear viscoelastic equations with strong damping velocity-dependent material density	1
Numerical solutions for nonlinear ordinary and fractional Newell–Whitehead–Segel equation using shifted Schröder polynomials	1
Applying periodic and anti-periodic boundary conditions in existence results of fractional differential equations via nonlinear contractive mappings	1
Smooth dynamics of a sup-cubic wave equation with delays	1
Small-convection limit for two-dimensional chemotaxis-Navier–Stokes system with logarithmic sensitivity and logistic-type source	1
Ground state solutions for elliptic Kirchhoff–Boussinesq type problems with supercritical exponential growth	1
A numerical technique for solving neutral Hilfer fractional differential equation with constant delay using Legendre wavelet method	1
Caputo fractional backward stochastic differential equations driven by fractional Brownian motion with delayed generator	1
Spatiotemporal dynamics in a delayed diffusive predator–prey system with nonlocal competition in prey and schooling behavior among predators	1
Existence and stability results for nonlocal boundary value problems of fractional order	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
Existence and multiplicity of solutions for the Cauchy problem of a fractional Lorentz force equation	1
Numerical technique for solving physical models using reproducing kernel Hilbert space method with purely integral conditions	1
Analysis of Caputo fractional variable order multi-point initial value problems: existence, uniqueness, and stability	1
Periodic solution for neutral-type differential equation with piecewise impulses on time scales	1
Stability analysis of a class of Langevin equations in the frame of generalized Caputo fractional operator with nonlocal boundary conditions	1
An inverse boundary value problem for transverse vibrations of a bar	1
Fractional integral inequalities for strongly convex functions via multiplicative calculus with applications	1
Existence of positive solutions for a class of singular elliptic problems with convection term and critical exponential growth	1
Nonexistence of interior bubbling solutions for slightly supercritical elliptic problems	1
Existence and multiplicity of periodic solutions for a nonlinear resonance equation with singularities	1
Simpson-type inequalities for the functions with bounded second derivatives involving generalized fractional integrals	1