Boundary Value Problems

Article	Citations
Kohn–Vogelius formulation for plasma geometry identification problem	58
On strong singular fractional version of the Sturm–Liouville equation	47
Least energy nodal solutions for a weighted $(N, p)$-Schrödinger problem involving a continuous potential under exponential growth nonlinearity	28
Blow-up phenomena for a nonlinear shallow water wave model	21
A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions	21
Walsh function-based numerical approach for nonlinear stochastic integral equations: Application to stochastic logistic models	19
Entropy generation optimisation on the peristaltic mechanism of non-Newtonian Ree-Eyring fluid with variable liquid properties	18
Certain fixed point results for novel contractions with applications to variational inequalities, economic growth and market equilibrium via fractional differential equations	18
Multiplicity of weak solutions in double phase Kirchhoff elliptic problems with Neumann conditions	17
An accurate tau-based spectral algorithm for the time fractional bioheat transfer model	17
On steady state of viscous compressible heat conducting full magnetohydrodynamic equations	16
Unveiling the dynamics of meningitis infections: a comprehensive study of a novel fractional-order model with optimal control strategies	16
Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques	16
Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator	14
Fractional dynamics of wave packets: solving the Davey-Stewartson equation with computational method	13
Positive solutions for a semipositone anisotropic p-Laplacian problem	12
Existence and uniqueness for a mixed fractional differential system with slit-strips conditions	12
Solvability of mixed Hilfer fractional functional boundary value problems with p-Laplacian at resonance	12
Existence, uniqueness and stability analysis for a $\mathfrak{f}$-Caputo generalized proportional fractional boundary problem with distinct generalized integral conditions	12
Positive solutions to a coupled singular anisotropic system with nonstandard growth and singular nonlinearities	12
Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses	12
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
On global classical solutions to one-dimensional compressible Navier–Stokes/Allen–Cahn system with density-dependent viscosity and vacuum	12
Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity	12
The existence of solutions for Sturm–Liouville differential equation with random impulses and boundary value problems	11

On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study	11
On the critical behavior for time-fractional pseudo-parabolic-type equations with combined nonlinearities	11
Ulam stability and solution behavior of implicit fractional Volterra-Fredholm equations via generalized Hilfer-Katugampola calculus	11
Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential	11
Pairwise and polynomial contractions in b-metric spaces with applications to boundary value problems of diffusion phenomena and integral-type contractions	11
Dynamics and numerical analysis of a fractional-order toxoplasmosis model incorporating human and cat populations	10
Extension of Milne-type inequalities to Katugampola fractional integrals	10
Bifurcation mechanism and hybrid control strategy of a finance model with delays	10
Correction to: Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	10
Generalized Tikhonov regularization method for an inverse boundary value problem of the fractional elliptic equation	10
Investigation of optical soliton solutions for the fractional-order nonlinear Schrödinger equation including parabolic law of nonlinearity	10
New product-type oscillation criteria for first-order linear differential equations with several nonmonotone arguments	9
Existence and multiplicity of nontrivial solutions for poly-Laplacian systems on finite graphs	9
Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model	9
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
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients	8
Blow-up criteria of the simplified Ericksen–Leslie system	8
Chaotic behavior, sensitive analysis and dynamics of invariant formulation of nonclassical symmetries to the nonlinear Tzitzéica equation arising in mathematical physics	7
Positive solutions for the Riemann–Liouville-type fractional differential equation system with infinite-point boundary conditions on infinite intervals	7
Reflected backward stochastic partial differential equations driven by Teugels martingales	7
Simpson’s quadrature formula for third differentiable and s-convex functions	7
Turing instability in the Lengyel–Epstein fractional Laplacian system	7
On a Vlasov equation model for two-phase fluid flow	7
The fundamental solution and blow-up problem of an anisotropic parabolic equation	7
Time decay of solutions for compressible isentropic non-Newtonian fluids	7
Complex potentials solutions for isotropic Cosserat bodies with voids	7
Classical and nonclassical Lie symmetries, bifurcation analysis, and Jacobi elliptic function solutions to a 3D-modified nonlinear wave equation in liquid involving gas bubbles	7
Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses	7
Pullback attractors for 2D MHD equations with delays on unbounded domains	7
Nondegeneracy of the solutions for elliptic problem with critical exponent	7
On fractional order multiple integral transforms technique to handle three dimensional heat equation	6
Decay estimates of global solutions for the three-dimensional magnetohydrodynamics equations with horizontal dissipation in a half space	6
Existence of triple solutions for elliptic equations driven by p-Laplacian-like operators with Hardy potential under Dirichlet–Neumann boundary conditions	6
Decay of the 3D Lüst model	6
The existence, uniqueness, and stability results for a nonlinear coupled system using ψ-Caputo fractional derivatives	6
Exploring solutions to specific class of fractional differential equations of order $3<\hat{u}\leq 4$	6
Analysis of the magneto-thermoelastic vibrations of rotating Euler–Bernoulli nanobeams using the nonlocal elasticity model	6
Oscillatory and spectral properties of fourth-order differential operator and weighted differential inequality with boundary conditions	6
On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime	6
A fourth order wave equation with acoustic boundary conditions: asymptotic behavior and blow-up in finite time	6
Solutions to a $(p(x),q(x))$-biharmonic elliptic problem on a bounded domain	6
Extended Lyapunov stability analysis to the power fractional differential equations	6
New approaches to corrected Euler–Maclaurin-type inequalities involving Riemann–Liouville fractional integrals for different function classes	6
Infinitely many solutions for quasilinear Schrödinger equation with concave-convex nonlinearities	5
Sign-changing solutions for coupled Schrödinger system	5
Blow-up for the coupled system of wave equations with memory terms in Schwarzschild spacetime	5
A new type of solutions for a nonlinear Schrödinger system with $\chi ^{(2)}$ nonlinearities	5
Trace theorems on Herz-Morrey spaces with applications to Sobolev type inequalities	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
Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative	5
Hybrid nanofluids and bioconvection: insights into bacterial behavior and particle interaction	5
The posteriori analysis of the spectral element discretization of the wave equation	5
Boundary layer analysis of variable viscosity Casson fluid over a Riga plate with Caputo fractional derivative and thermal radiation	5
Blow-up of solutions to the semilinear wave equation with scale invariant damping on exterior domain	5
Effects of Lévy noise and impulsive action on the averaging principle of Atangana–Baleanu fractional stochastic delay differential equations	5
Strict positivity and explicit integral representation of Green’s function for high-order clamped boundary value problems	5
Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions	5
Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses	5
New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals	4
Some new existence results of positive solutions for anisotropic variable exponent operator	4
New estimates on generalized Hermite–Hadamard–Mercer-type inequalities	4
Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations	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
$(\mathtt{k},\varphi )$-Hilfer fractional Langevin differential equation having multipoint boundary conditions	4
A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law	4
Two-phase heat conduction problems with Sturm-type boundary conditions	4
Analysis of stochastic neutral fractional functional differential equations	4
On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation	4
Fractional double-phase nonlocal equation in Musielak-Orlicz Sobolev space	4
Enhanced shifted Jacobi operational matrices of integrals: spectral algorithm for solving some types of ordinary and fractional differential equations	4
Milne-type inequalities for third differentiable and h-convex functions	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
Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations	4
Application of double Sumudu-generalized Laplace decomposition method and two-dimensional time-fractional coupled Burger’s equation	4
Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics	4
An application of artificial neural networks for solving fractional higher-order linear integro-differential equations	4
Numerical solutions for fractional optimal control problems of coupled diffusion systems via Laplace Adomian Decomposition Method	4
A necessary and sufficient condition for the existence of global solutions to reaction-diffusion equations on bounded domains	4
Numerical solution of Bratu’s boundary value problem based on Green’s function and a novel iterative scheme	4
Gradient estimate of a Poisson equation under the almost Ricci solitons	4
Blow-up of solution to semilinear wave equations with strong damping and scattering damping	3
Existence and nonexistence of solutions for an approximation of the Paneitz problem on spheres	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
Two modified shifted Chebyshev–Galerkin operational matrix methods for even-order partial boundary value problems	3
Existence results for coupled sequential ψ-Hilfer fractional impulsive BVPs: topological degree theory approach	3
Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms	3
On the study of three-dimensional compressible Navier–Stokes equations	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
Qualitative analysis of a prey–predator model with prey refuge and intraspecific competition among predators	3
Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions	3
Identification of the bulk modulus coefficient in the acoustic equation from boundary observation: a sentinel method	3
Three positive solutions for a nonlinear partial discrete Dirichlet problem with $(p,q)$-Laplacian operator	3
Some notes on conformable fractional Sturm–Liouville problems	3
New results on an impulsive differential equation involving a q-analogue of the ψ-Caputo fractional derivative	3
Determining the intersample response of state feedback control systems using boundary value problems	3
Generalized strongly n-polynomial convex functions and related inequalities	3
Predicting nonlinear phenomena through fractional derivatives and advanced Riccati mapping: bifurcation and solitary wave behavior in nonlinear systems	3
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient	3
On the analytical and numerical study for fractional q-integrodifferential equations	3
Dynamical behavior of optical solitons propagation in coupled NLS equations	3
Model boundary value problem for the Helmholtz equation in a nonconvex angle with periodic boundary data	3
Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term	3
Existence results to a Leray–Lions type problem on the Heisenberg Lie groups	3
Solvability and Ulam–Hyers–Rassias stability in fractional integrodifferential equations involving mixed nonlocal conditions	3
A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus	3
Impulsive coupled systems with regular and singular ϕ-Laplacians and generalized jump conditions	3
Minimum and comparison principles for semilinear nonlocal reaction–diffusion equations	3
Existence and uniqueness of positive solution to a new class of nonlocal elliptic problem with parameter dependency	3
On generalized $(k,\psi )$-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem	3
Normalized ground state solutions for a biharmonic equation involving critical exponential growth in $\mathbb{R}^{4}$	3
Almost sure exponential stability of nonlinear stochastic delay hybrid systems driven by G-Brownian motion	2
Periodic solutions for second-order even and noneven Hamiltonian systems	2
Weyl-type eigenvalue bounds for the fractional p-Laplacian	2
Sturm-Liouville problems with nonlinear dependence on the spectral parameter in the boundary conditions	2
Minimal wave speed and traveling wave in nonlocal dispersion SIS epidemic model with delay	2
Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity	2
A class of Schrödinger elliptic equations involving supercritical exponential growth	2
$(\omega ,c)$-periodic solutions for a class of fractional integrodifferential equations	2
Index theory and multiple solutions for asymptotically linear second-order delay differential equations	2
High perturbations of a new Kirchhoff problem involving the p-Laplace operator	2
Boundary value problems for second-order causal differential equations	2
Arbitrary decay for a von Karman system with memory	2
Fractional magnetohydrodynamic Casson fluid flow with thermal radiation and buoyancy effects: a constant proportional Caputo model	2
Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases	2

Existence and multiplicity of solutions for $p(x)$-Laplacian problem with Steklov boundary condition	2
Novel computations of the time-fractional chemical Schnakenberg mathematical model via non-singular kernel operators	2
Analysis of Caputo fractional variable order multi-point initial value problems: existence, uniqueness, and stability	2
A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality	2
Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions	2
Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators	2
Novel exact solutions for PDEs with mixed boundary conditions	2
Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread	2
Optimal decay-in-time rates of solutions to the Cauchy problem of 3D compressible magneto-micropolar fluids	2
Nonexistence of positive solutions for the weighted higher-order elliptic system with Navier boundary condition	2
Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current	2
Strong solution of 3D generalized Navier–Stokes equations with damping	2
Analysis of a hybrid integro-differential inclusion	2
A coupled complex mKdV equation and its N-soliton solutions via the Riemann–Hilbert approach	2
Generalized J-integral – mathematical foundation	2
Multipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions	2
Optimal control for a chemotaxis–haptotaxis model in two space dimensions	2
Competing anisotropic and Finsler $(p,q)$-Laplacian problems	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
The Robin problems for the coupled system of reaction–diffusion equations	2
Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces	2
Modeling two-phase gas-solid flow in axisymmetric diffusers using cut cell technique: an Eulerian-Eulerian approach	2
New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals	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
Modeling and numerical simulation of Maxwell nanofluid flow with heat generation and convective heating: a combined Adomian decomposition method and Mohand transform	2
Non-Newtonian nanofluid flow across an exponentially stretching sheet with viscous dissipation: numerical study using an SCM based on Appell–Changhee polynomials	2
Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity	2
Existence and asymptotic properties of singular solutions of nonlinear elliptic equations in $R^{n}\backslash\{0\}$	2
A Stackelberg reinsurance-investment game with derivatives trading	2
Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	2
Stochastic analysis and soliton solutions of the Chaffee–Infante equation in nonlinear optical media	2
An inhomogeneous perturbation for a class of nonlinear scalar field equations	2
Thermal radiation and diffusion effects on MHD sisko fluid flow over a nonlinearly stretchable porous sheet	2
Determination of rigid inclusions immersed in an isotropic elastic body from boundary measurement	2
Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions	2
Advanced neural network approaches for coupled equations with fractional derivatives	2
Inverse problem for cracked inhomogeneous Kirchhoff–Love plate with two hinged rigid inclusions	2
A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation	2
Boundedness in a two-dimensional chemotaxis system with signal-dependent motility and logistic source	2
Optimal time-decay rates of the Keller–Segel system coupled to compressible Navier–Stokes equation in three dimensions	2
Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term	2