OOIR: Observatory of International Research

Papers

(The TQCC of Boundary Value Problems is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-03-01 to 2024-03-01.)

Article	Citations
A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions	194
New analytical method based on dynamic response of planar mechanical elastic systems	73
On a system of fractional q-differential inclusions via sum of two multi-term functions on a time scale	39
Analysis of multipoint impulsive problem of fractional-order differential equations	29
On a new structure of the pantograph inclusion problem in the Caputo conformable setting	28
Existence of positive radial solution for Neumann problem on the Heisenberg group	22
A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers–Ulam stability	20
Global existence and exponential decay of solutions for generalized coupled non-degenerate Kirchhoff system with a time varying delay term	20
Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion	19
Mathematical analysis of nonlinear integral boundary value problem of proportional delay implicit fractional differential equations with impulsive conditions	16
Solving systems of coupled nonlinear Atangana–Baleanu-type fractional differential equations	16
Qualitative analysis of nonlinear coupled pantograph differential equations of fractional order with integral boundary conditions	15
Three solutions for a partial discrete Dirichlet boundary value problem with p-Laplacian	15
Existence of a mountain pass solution for a nonlocal fractional $(p, q)$-Laplacian problem	15
Existence of solutions for tripled system of fractional differential equations involving cyclic permutation boundary conditions	14
Stability result of a viscoelastic plate equation with past history and a logarithmic nonlinearity	12
Stability for generalized Caputo proportional fractional delay integro-differential equations	12
Implicit nonlinear fractional differential equations of variable order	11
Study of impulsive fractional differential equation under Robin boundary conditions by topological degree method	11
Boundary shape function method for nonlinear BVP, automatically satisfying prescribed multipoint boundary conditions	11
Attractors for the nonclassical reaction–diffusion equations on time-dependent spaces	10
The existence of solutions for Sturm–Liouville differential equation with random impulses and boundary value problems	10
Existence and stability results for nonlocal boundary value problems of fractional order	10
Global existence and exponential stability of coupled Lamé system with distributed delay and source term without memory term	9
Multiplicity of positive solutions for Hadamard fractional differential equations with p-Laplacian operator	9

Multiple solutions for a class of nonlocal quasilinear elliptic systems in Orlicz–Sobolev spaces	8
Existence of a random attractor for non-autonomous stochastic plate equations with additive noise and nonlinear damping on $\mathbb{R}^{n}$	8
On the existence of three solutions of Dirichlet fractional systems involving the p-Laplacian with Lipschitz nonlinearity	8
A note on singular two-dimensional fractional coupled Burgers’ equation and triple Laplace Adomian decomposition method	8
The sub-supersolution method for a nonhomogeneous elliptic equation involving Lebesgue generalized spaces	8
On a new fractional Sobolev space with variable exponent on complete manifolds	8
Multiplicity of solutions for a class of fractional $p(x,\cdot )$-Kirchhoff-type problems without the Ambrosetti–Rabinowitz condition	8
How far does logistic dampening influence the global solvability of a high-dimensional chemotaxis system?	7
Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative	7
Nonlinear nonhomogeneous Dirichlet problems with singular and convection terms	6
Existence and multiplicity of solutions for $p(x)$-Laplacian problem with Steklov boundary condition	6
General decay for a viscoelastic von Karman equation with delay and variable exponent nonlinearities	6
Structural stability for the Boussinesq equations interfacing with Darcy equations in a bounded domain	6
Some properties of implicit impulsive coupled system via φ-Hilfer fractional operator	6
General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms	6
Nonlocal boundary value problems for ψ-Hilfer fractional-order Langevin equations	5
On qualitative analysis of boundary value problem of variable order fractional delay differential equations	5
Controllability of fractional evolution systems of Sobolev type via resolvent operators	5
A periodic boundary value problem with switchings under nonlinear perturbations	5
A weak solution for a $(p(x),q(x))$-Laplacian elliptic problem with a singular term	5
Existence of nontrivial solutions for fractional Schrödinger equations with electromagnetic fields and critical or supercritical nonlinearity	5
Asymptotic behavior for a viscoelastic Kirchhoff equation with distributed delay and Balakrishnan–Taylor damping	5
Existence and multiplicity of solutions for Schrödinger–Kirchhoff type problems involving the fractional $p(\cdot )$-Laplacian in $\mathbb{R}^{N}$	5
Existence of solution for a resonant p-Laplacian second-order m-point boundary value problem on the half-line with two dimensional kernel	5
Nonnegative solution of a class of double phase problems with logarithmic nonlinearity	5
Local solvability and stability of the inverse problem for the non-self-adjoint Sturm–Liouville operator	5
Properties of solutions to fractional p-subLaplace equations on the Heisenberg group	4
New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem	4
Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions	4
Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread	4
Global and blow-up solutions for a nonlinear reaction diffusion equation with Robin boundary conditions	4
Well-posedness and behaviors of solutions to an integrable evolution equation	4
A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality	4
Solutions for a category of singular nonlinear fractional differential equations subject to integral boundary conditions	4
Three new approaches for solving a class of strongly nonlinear two-point boundary value problems	4
Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity	4
A study on controllability of impulsive fractional evolution equations via resolvent operators	4
The existence of nontrivial solution of a class of Schrödinger–Bopp–Podolsky system with critical growth	4
Steady state for a predator–prey cross-diffusion system with the Beddington–DeAngelis and Tanner functional response	4
On the fractional partial integro-differential equations of mixed type with non-instantaneous impulses	4
Time accurate solution to Benjamin–Bona–Mahony–Burgers equation via Taylor–Boubaker series scheme	4
Spectral discretization of time-dependent vorticity–velocity–pressure formulation of the Navier–Stokes equations	4
Existence of solutions for functional boundary value problems at resonance on the half-line	3
Approximate solutions for HBV infection with stability analysis using LHAM during antiviral therapy	3
Some results on stability and continuous dependence in Green-Naghdi thermoelasticity of Cosserat bodies	3
Existence of a strong solution to moist atmospheric equations with the effects of topography	3
Analysis of a hybrid integro-differential inclusion	3
Existence-uniqueness of positive solutions to nonlinear impulsive fractional differential systems and optimal control	3
Direct and inverse problems for nonlocal heat equation with boundary conditions of periodic type	3
Infinitely many solutions for the discrete Schrödinger equations with a nonlocal term	3

On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime	3
Uniqueness and concentration for a fractional Kirchhoff problem with strong singularity	3
Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias	3
Analysis of a time-delayed free boundary problem for solid tumor growth with angiogenesis and direct influence of inhibitors	3
Multiple solutions for singular semipositone boundary value problems of fourth-order differential systems with parameters	3
Normalized solutions for a coupled fractional Schrödinger system in low dimensions	3
Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations	3
On some qualitative results in thermodynamics of Cosserat bodies	3
Nonstandard competing anisotropic $(p,q)$-Laplacians with convolution	3
Dynamics and oscillations of models for differential equations with delays	3
Nonlinear differential equations with perturbed Dirichlet integral boundary conditions	3
Hopf bifurcation in a delayed reaction–diffusion–advection equation with ideal free dispersal	3
The entropy weak solution to a generalized Fornberg–Whitham equation	3
Some notes on conformable fractional Sturm–Liouville problems	3
Existence and uniqueness of finite beam deflection on nonlinear non-uniform elastic foundation with arbitrary well-posed boundary condition	3
Variational approach to instantaneous and noninstantaneous impulsive system of differential equations	3
Existence–uniqueness and monotone iteration of positive solutions to nonlinear tempered fractional differential equation with p-Laplacian operator	3
Multiplicity of solutions for an anisotropic variable exponent problem	3
The dual eigenvalue problems of the conformable fractional Sturm–Liouville problems	3
A general stability result for second order stochastic quasilinear evolution equations with memory	3
On resonant mixed Caputo fractional differential equations	3
A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations	3
Obstacle detection in fluid flow using asymptotic analysis technique	2
Three positive solutions for a nonlinear partial discrete Dirichlet problem with $(p,q)$-Laplacian operator	2
A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus	2
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient	2
Infinitely many homoclinic solutions for sublinear and nonperiodic Schrödinger lattice systems	2
A relation-theoretic set-valued version of Prešić-Ćirić theorem and applications	2
On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation	2
Existence of least energy nodal solution for Kirchhoff–Schrödinger–Poisson system with potential vanishing	2
Application of C-Bézier and H-Bézier basis functions to numerical solution of convection-diffusion equations	2
Solvability of a moving contact-line problem with interface formation for an incompressible viscous fluid	2
Analysis of the magneto-thermoelastic vibrations of rotating Euler–Bernoulli nanobeams using the nonlocal elasticity model	2
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients	2
On a nonlocal implicit problem under Atangana–Baleanu–Caputo fractional derivative	2
Multivalued nonmonotone dynamic boundary condition	2
Existence and uniqueness criterion of a periodic solution for a third-order neutral differential equation with multiple delay	2
A fast multiscale Galerkin algorithm for solving boundary value problem of the fractional Bagley–Torvik equation	2
Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques	2
A class of Schrödinger elliptic equations involving supercritical exponential growth	2
Nontrivial solutions of a class of fractional differential equations with p-Laplacian via variational methods	2
Ulam stability of first-order nonlinear impulsive dynamic equations	2
The Neumann problem for a class of generalized Kirchhoff-type potential systems	2
On the asymptotic behavior of solutions of anisotropic viscoelastic body	2
Lower bound for the blow-up time for a general nonlinear nonlocal porous medium equation under nonlinear boundary condition	2
The first initial-boundary value problem of parabolic Monge–Ampère equations outside a bowl-shaped domain	2
Dynamic analysis of a stochastic four species food-chain model with harvesting and distributed delay	2
Existence result for a Kirchhoff elliptic system with variable parameters and additive right-hand side via sub- and supersolution method	2
On the analytical and numerical study for fractional q-integrodifferential equations	2
Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term	2
Generalized fractional calculus in Banach spaces and applications to existence results for boundary value problems	2
Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term	2
Elliptic problem driven by different types of nonlinearities	2
On global classical solutions to one-dimensional compressible Navier–Stokes/Allen–Cahn system with density-dependent viscosity and vacuum	2
A faster iterative method for solving nonlinear third-order BVPs based on Green’s function	2
A new method for high-order boundary value problems	2
High perturbations of a new Kirchhoff problem involving the p-Laplace operator	2
Existence and multiplicity of nontrivial solutions for poly-Laplacian systems on finite graphs	2