Boundary Value Problems

Article	Citations
Kohn–Vogelius formulation for plasma geometry identification problem	60
Least energy nodal solutions for a weighted $(N, p)$-Schrödinger problem involving a continuous potential under exponential growth nonlinearity	47
Blow-up phenomena for a nonlinear shallow water wave model	28
Walsh function-based numerical approach for nonlinear stochastic integral equations: Application to stochastic logistic models	21
A nonlocal coupled system involving N-Laplacian operator: existence and asymptotic behavior of positive solutions	21
Entropy generation optimisation on the peristaltic mechanism of non-Newtonian Ree-Eyring fluid with variable liquid properties	20
Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator	18
Existence, uniqueness and stability analysis for a $\mathfrak{f}$-Caputo generalized proportional fractional boundary problem with distinct generalized integral conditions	18
An accurate tau-based spectral algorithm for the time fractional bioheat transfer model	18
Fractional dynamics of wave packets: solving the Davey-Stewartson equation with computational method	18
Certain fixed point results for novel contractions with applications to variational inequalities, economic growth and market equilibrium via fractional differential equations	18
General decay for the viscoelastic wave equation for Kirchhoff-type containing Balakrishnan-Taylor damping, nonlinear damping and logarithmic source term under acoustic boundary conditions	17
Unveiling the dynamics of meningitis infections: a comprehensive study of a novel fractional-order model with optimal control strategies	16
On steady state of viscous compressible heat conducting full magnetohydrodynamic equations	15
Positive solutions for a semipositone anisotropic p-Laplacian problem	13
Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques	13
Multiplicity of weak solutions in double phase Kirchhoff elliptic problems with Neumann conditions	13
Positive solutions to a coupled singular anisotropic system with nonstandard growth and singular nonlinearities	13
Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses	12
Ulam stability and solution behavior of implicit fractional Volterra-Fredholm equations via generalized Hilfer-Katugampola calculus	12
Pairwise and polynomial contractions in b-metric spaces with applications to boundary value problems of diffusion phenomena and integral-type contractions	12
Existence and uniqueness for a mixed fractional differential system with slit-strips conditions	12
On the critical behavior for time-fractional pseudo-parabolic-type equations with combined nonlinearities	12
Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity	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
Investigation of optical soliton solutions for the fractional-order nonlinear Schrödinger equation including parabolic law of nonlinearity	11
On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study	11
Bifurcation mechanism and hybrid control strategy of a finance model with delays	11
Dynamics and numerical analysis of a fractional-order toxoplasmosis model incorporating human and cat populations	11
Correction to: Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	11
Uniqueness and stability results of the abstract fractional spatial heterogeneous viral infection model	10
Existence and multiplicity of nontrivial solutions for poly-Laplacian systems on finite graphs	10
Extension of Milne-type inequalities to Katugampola fractional integrals	10
Generalized Tikhonov regularization method for an inverse boundary value problem of the fractional elliptic equation	10
An accurate approximation technique based on Schröder operational matrices for numerical treatments of time-fractional nonlinear generalized Kawahara equation	9
Blow-up criteria of the simplified Ericksen–Leslie system	9
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients	9
New product-type oscillation criteria for first-order linear differential equations with several nonmonotone arguments	9
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
Multiplicity of solutions for the Dirichlet boundary value problem to a fractional quasilinear differential model with impulses	8
Turing instability in the Lengyel–Epstein fractional Laplacian system	8
Inverse source problem for the pseudoparabolic equation associated with the Jacobi operator	8
On a Vlasov equation model for two-phase fluid flow	8
Chaotic behavior, sensitive analysis and dynamics of invariant formulation of nonclassical symmetries to the nonlinear Tzitzéica equation arising in mathematical physics	8
The fundamental solution and blow-up problem of an anisotropic parabolic equation	8
Extended Lyapunov stability analysis to the power fractional differential equations	7
The existence, uniqueness, and stability results for a nonlinear coupled system using ψ-Caputo fractional derivatives	7
Oscillatory and spectral properties of fourth-order differential operator and weighted differential inequality with boundary conditions	7
Positive solutions for the Riemann–Liouville-type fractional differential equation system with infinite-point boundary conditions on infinite intervals	7
Nondegeneracy of the solutions for elliptic problem with critical exponent	7
Reflected backward stochastic partial differential equations driven by Teugels martingales	7
Decay of the 3D Lüst model	7
Complex potentials solutions for isotropic Cosserat bodies with voids	7
Simpson’s quadrature formula for third differentiable and s-convex functions	7
New approaches to corrected Euler–Maclaurin-type inequalities involving Riemann–Liouville fractional integrals for different function classes	7
On fractional order multiple integral transforms technique to handle three dimensional heat equation	7
Pullback attractors for 2D MHD equations with delays on unbounded domains	7
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
Blow-up of solutions to the semilinear wave equation with scale invariant damping on exterior domain	6
Sign-changing solutions for coupled Schrödinger system	6
Strict positivity and explicit integral representation of Green’s function for high-order clamped boundary value problems	6
A fourth order wave equation with acoustic boundary conditions: asymptotic behavior and blow-up in finite time	6
Decay estimates of global solutions for the three-dimensional magnetohydrodynamics equations with horizontal dissipation in a half space	6
Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms	6
Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative	6
Trace theorems on Herz-Morrey spaces with applications to Sobolev type inequalities	6
Existence of triple solutions for elliptic equations driven by p-Laplacian-like operators with Hardy potential under Dirichlet–Neumann boundary conditions	6
Time decay of solutions for compressible isentropic non-Newtonian fluids	6
Generation of optical solitons molecules and energy flow in Painlevé-integrable Schrödinger dynamical systems	6
Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions	6
Blow-up for the coupled system of wave equations with memory terms in Schwarzschild spacetime	6
Infinitely many solutions for quasilinear Schrödinger equation with concave-convex nonlinearities	6
Boundary layer analysis of variable viscosity Casson fluid over a Riga plate with Caputo fractional derivative and thermal radiation	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
Fractional integral related to Schrödinger operator on vanishing generalized mixed Morrey spaces	5
Effects of Lévy noise and impulsive action on the averaging principle of Atangana–Baleanu fractional stochastic delay differential equations	5
A new type of solutions for a nonlinear Schrödinger system with $\chi ^{(2)}$ nonlinearities	5
A necessary and sufficient condition for the existence of global solutions to reaction-diffusion equations on bounded domains	5
The posteriori analysis of the spectral element discretization of the wave equation	5
Hybrid nanofluids and bioconvection: insights into bacterial behavior and particle interaction	5
Solutions to a $(p(x),q(x))$-biharmonic elliptic problem on a bounded domain	5
Global well-posedness and large time behavior of epitaxy thin film growth model	5
Milne-type inequalities for third differentiable and h-convex functions	5
$(\mathtt{k},\varphi )$-Hilfer fractional Langevin differential equation having multipoint boundary conditions	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
Gradient estimate of a Poisson equation under the almost Ricci solitons	4
Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics	4
Fractional analysis of nonlinear dynamics in Korteweg-de Vries-Burgers’ and modified Korteweg-de Vries equations	4
Determining the intersample response of state feedback control systems using boundary value problems	4
New estimates for Hermite–Hadamard–Fejer-type inequalities containing Raina fractional integrals	4
Existence and uniqueness of positive solution to a new class of nonlocal elliptic problem with parameter dependency	4
Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations	4
Superconvergence analysis for nonlinear Ginzburg-Landau equation with backward differential formula finite element method	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
Analysis of stochastic neutral fractional functional differential equations	4
Existence and stability results of f-Caputo modified proportional fractional delay differential systems with boundary conditions	4
An analysis of nonlinear integro-differential equations with four-point nonlocal BVP using Ψ-Caputo fractional derivative	4
Two-phase heat conduction problems with Sturm-type boundary conditions	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
Numerical solution of Bratu’s boundary value problem based on Green’s function and a novel iterative scheme	4
Some new existence results of positive solutions for anisotropic variable exponent operator	4
On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation	4
Normalized ground state solutions for a biharmonic equation involving critical exponential growth in $\mathbb{R}^{4}$	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
Dynamical behavior of optical solitons propagation in coupled NLS equations	3
On the study of three-dimensional compressible Navier–Stokes equations	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
Predicting nonlinear phenomena through fractional derivatives and advanced Riccati mapping: bifurcation and solitary wave behavior in nonlinear systems	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
Solvability and Ulam–Hyers–Rassias stability in fractional integrodifferential equations involving mixed nonlocal conditions	3
Three positive solutions for a nonlinear partial discrete Dirichlet problem with $(p,q)$-Laplacian operator	3
Existence and multiplicity of solutions for $p(x)$-Laplacian problem with Steklov boundary condition	3
An inhomogeneous perturbation for a class of nonlinear scalar field equations	3
Model boundary value problem for the Helmholtz equation in a nonconvex angle with periodic boundary data	3
Minimum and comparison principles for semilinear nonlocal reaction–diffusion equations	3
Existence and nonexistence of solutions for an approximation of the Paneitz problem on spheres	3
Qualitative analysis of a prey–predator model with prey refuge and intraspecific competition among predators	3
Existence results to a Leray–Lions type problem on the Heisenberg Lie groups	3
Existence results for coupled sequential ψ-Hilfer fractional impulsive BVPs: topological degree theory approach	3
Bifurcations, chaotic behavior, sensitivity analysis, and various soliton solutions for the extended nonlinear Schrödinger equation	3
On generalized $(k,\psi )$-Hilfer proportional fractional operator and its applications to the higher-order Cauchy problem	3
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient	3
Fractional soliton structures and chaotic dynamics in nonlinear Jaulent-Miodek hierarchy	3
Impulsive coupled systems with regular and singular ϕ-Laplacians and generalized jump conditions	3
Some notes on conformable fractional Sturm–Liouville problems	3
A coupled complex mKdV equation and its N-soliton solutions via the Riemann–Hilbert approach	3
Boundary value problems for second-order causal differential equations	3
Positive continuous solutions for some semilinear elliptic problems in the half space	3
Generalized strongly n-polynomial convex functions and related inequalities	3
Exploring new routes in fractional modeling: analytical solutions of Burgers-type systems via Caputo-Hadamard and ϕ-Caputo derivatives	3
Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions	3
New results on an impulsive differential equation involving a q-analogue of the ψ-Caputo fractional derivative	3
Exponential stability and numerical results of a thermoelastic Timoshenko system with diffusion effect, memory and distributed delay terms	3
Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term	3
Blow-up of solution to semilinear wave equations with strong damping and scattering damping	3
Kink soliton solutions and Hamiltonian dynamics of the fractional generalized Pochhammer-Chree equation via Riccati-Bernoulli sub-ODE method	3
On the analytical and numerical study for fractional q-integrodifferential equations	3
A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus	3
Competing anisotropic and Finsler $(p,q)$-Laplacian problems	3
Multipoint boundary value problems for higher-order Hadamard fractional neutral differential equations and inclusions	3
Optimal control for a chemotaxis–haptotaxis model in two space dimensions	3
Identification of the bulk modulus coefficient in the acoustic equation from boundary observation: a sentinel method	3
Optimal control of a bilinear distributed system with incomplete data	2
Analysis of a hybrid integro-differential inclusion	2
Global attractors for a nonlinear viscoelastic equations with strong damping velocity-dependent material density	2
Existence and asymptotic properties of singular solutions of nonlinear elliptic equations in $R^{n}\backslash\{0\}$	2

A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality	2
An inverse boundary value problem for transverse vibrations of a bar	2
Generalized J-integral – mathematical foundation	2
On a viscous fourth-order parabolic equation with boundary degeneracy	2
Existence theory for multiple solutions to second-order singular Dirichlet boundary value problem modeling the Antarctic Circumpolar Current	2
Modeling two-phase gas-solid flow in axisymmetric diffusers using cut cell technique: an Eulerian-Eulerian approach	2
Stochastic analysis and soliton solutions of the Chaffee–Infante equation in nonlinear optical media	2
Hermite–Hadamard–Mercer type inequalities for fractional integrals: A study with h-convexity and ψ-Hilfer operators	2
Analysis of Caputo fractional variable order multi-point initial value problems: existence, uniqueness, and stability	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
Blow-up solutions for a 4-dimensional semilinear elliptic system of Liouville type in some general cases	2
Arbitrary decay for a von Karman system with memory	2
A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation	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
Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity	2
Nonexistence of positive solutions for the weighted higher-order elliptic system with Navier boundary condition	2
Global existence and decay of a viscoelastic wave equation with logarithmic source under acoustic, fractional, and nonlinear delay conditions	2
Stability and boundedness of solutions to a certain third-order neutral integro-differential equation with constant delay	2
Existence of positive solutions for a class of singular elliptic problems with convection term and critical exponential growth	2
Numerical results of fractional order difference system for norovirus disease with feedback neural networking	2
Utilizing fractional derivatives and sensitivity analysis in a random framework: a model-based approach to the investigation of random dynamics of malware spread	2
Novel computations of the time-fractional chemical Schnakenberg mathematical model via non-singular kernel operators	2
The Robin problems for the coupled system of reaction–diffusion equations	2
Infinitely many solutions for a class of fractional Schrödinger equations with sign-changing weight functions	2
High perturbations of a new Kirchhoff problem involving the p-Laplace operator	2
Existence of ground state solutions for a class of Choquard equations with local nonlinear perturbation and variable potential	2
Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity	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
Novel exact solutions for PDEs with mixed boundary conditions	2
Determination of rigid inclusions immersed in an isotropic elastic body from boundary measurement	2
Sturm-Liouville problems with nonlinear dependence on the spectral parameter in the boundary conditions	2
Advanced neural network approaches for coupled equations with fractional derivatives	2
Optimal time-decay rates of the Keller–Segel system coupled to compressible Navier–Stokes equation in three dimensions	2
A class of Schrödinger elliptic equations involving supercritical exponential growth	2
A Stackelberg reinsurance-investment game with derivatives trading	2
Analysis of hybrid fractional differential equations with nonlocal boundary conditions and linear perturbations	2
Existence and multiplicity of periodic solutions for a nonlinear resonance equation with singularities	2
An effective numerical method for solving fractional delay differential equations using fractional-order Chelyshkov functions	2
Fractional B-spline collocation method for the numerical solution of the fractional pantograph differential equations	2
Optimal decay-in-time rates of solutions to the Cauchy problem of 3D compressible magneto-micropolar fluids	2
A finite element approach to the Keller–Segel Chemotaxis system with impact of nonlocal diffusion	2
Index theory and multiple solutions for asymptotically linear second-order delay differential equations	2
Boundedness in a two-dimensional chemotaxis system with signal-dependent motility and logistic source	2
Thermal radiation and diffusion effects on MHD sisko fluid flow over a nonlinearly stretchable porous sheet	2
Investigation of $Alumina-Cu/C_{2}H_{6}O_{2}+H_{2}O$ flows for improved heat transfer through efficient thermal deposition and internal heat generation	2
Fractional N-Laplacian boundary value problems with jumping nonlinearities in the fractional Orlicz–Sobolev spaces	2
Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread	2
Non-Newtonian nanofluid flow across an exponentially stretching sheet with viscous dissipation: numerical study using an SCM based on Appell–Changhee polynomials	2
$(\omega ,c)$-periodic solutions for a class of fractional integrodifferential equations	2
Periodic solutions for second-order even and noneven Hamiltonian systems	2
Fractional magnetohydrodynamic Casson fluid flow with thermal radiation and buoyancy effects: a constant proportional Caputo model	2
Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions	2
Strong solution of 3D generalized Navier–Stokes equations with damping	2
Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term	2
Fractional stochastic differential equations and degree theory: a unified perspective	1
General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions	1
Numerical technique for solving physical models using reproducing kernel Hilbert space method with purely integral conditions	1
Galerkin approach by certain shifted Jacobi polynomials for solving the time-fractional Black-Scholes equation	1
Fixed point method for the existence of solutions to antiperiodic boundary value problems in fractional differential equations within hexagonal suprametric spaces	1
Short note on a solution with large amplitude for the limiting system arising from the competition-diffusion system	1
Ground-state sign-changing homoclinic solutions for a discrete nonlinear p-Laplacian equation with logarithmic nonlinearity	1
Spatiotemporal dynamics in a delayed diffusive predator–prey system with nonlocal competition in prey and schooling behavior among predators	1
Dynamical behaviors and soliton structures in the space-time conformable Wu-Zhang system arising in coastal design	1
A relation-theoretic set-valued version of Prešić-Ćirić theorem and applications	1
Numerical solutions for nonlinear ordinary and fractional Newell–Whitehead–Segel equation using shifted Schröder polynomials	1
Caputo fractional derivative in the solution of Kolmogorov equations: a new numerical approach	1
Applying periodic and anti-periodic boundary conditions in existence results of fractional differential equations via nonlinear contractive mappings	1
Nonexistence of interior bubbling solutions for slightly supercritical elliptic problems	1
Numerical solution of system of second-order integro-differential equations using nonclassical sinc collocation method	1
Scattering for 2D quasilinear wave equations with null conditions	1
Exploring fractional dynamics in the FitzHugh-Nagumo model with the Caputo operator	1
Affine periodic solutions for some stochastic differential equations	1
Exponential stability result of thermoelastic laminated beam with microtemperatures and without thermal conductivity	1
Existence of normalized solutions for Schrödinger systems with linear and nonlinear couplings	1
Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative	1
Ground state solutions for a kind of superlinear elliptic equations with variable exponent	1
On the solutions of a nonlinear system of q-difference equations	1
Existence and stability results for nonlocal boundary value problems of fractional order	1
Ground state solutions of nonlocal equations with variable exponents and mixed criticality	1
A note on the mass-critical inhomogeneous generalized Hartree equation	1
Optimal partial regularity of discontinuous subelliptic systems with VMO coefficients related to Hörmander’s vector fields	1
Nonlinear dynamical analysis of racism diffusion using a fractional-order model with optimal control and cost-effectiveness assessments	1
The existence of discrete solitons for the discrete coupled nonlinear Schrödinger system	1
Asymptotic behavior of plate equations driven by colored noise on unbounded domains	1
Existence and multiplicity of solutions for the Cauchy problem of a fractional Lorentz force equation	1
Fixed point theorems for interpolative orthogonal relational in TVS-valued cone metric spaces	1
A faster iterative method for solving nonlinear third-order BVPs based on Green’s function	1
On a class of a coupled nonlinear viscoelastic Kirchhoff equations variable-exponents: global existence, blow up, growth and decay of solutions	1
Numerical analysis of a coupled system for fractional stochastic differential equations	1
On qualitative analysis of boundary value problem of variable order fractional delay differential equations	1
Computational methods and dynamical analysis for studying $(1 + 1)$ dimensional functional equations of mixed integro-differential type	1
Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations	1