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 2020-05-01 to 2024-05-01.)

Article	Citations
New analytical method based on dynamic response of planar mechanical elastic systems	75
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	32
On a new structure of the pantograph inclusion problem in the Caputo conformable setting	28
Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion	23
Existence of positive radial solution for Neumann problem on the Heisenberg group	22
Solving systems of coupled nonlinear Atangana–Baleanu-type fractional differential equations	20
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
Existence of a mountain pass solution for a nonlocal fractional $(p, q)$-Laplacian problem	17
Mathematical analysis of nonlinear integral boundary value problem of proportional delay implicit fractional differential equations with impulsive conditions	15
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 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	14
Stability for generalized Caputo proportional fractional delay integro-differential equations	12
Boundary shape function method for nonlinear BVP, automatically satisfying prescribed multipoint boundary conditions	11
The existence of solutions for Sturm–Liouville differential equation with random impulses and boundary value problems	11
Implicit nonlinear fractional differential equations of variable order	11
Study of impulsive fractional differential equation under Robin boundary conditions by topological degree method	11
Existence and stability results for nonlocal boundary value problems of fractional order	11
Attractors for the nonclassical reaction–diffusion equations on time-dependent spaces	11
A note on singular two-dimensional fractional coupled Burgers’ equation and triple Laplace Adomian decomposition method	10
Multiplicity of solutions for a class of fractional $p(x,\cdot )$-Kirchhoff-type problems without the Ambrosetti–Rabinowitz condition	9
The sub-supersolution method for a nonhomogeneous elliptic equation involving Lebesgue generalized spaces	9

Global existence and exponential stability of coupled Lamé system with distributed delay and source term without memory term	9
On the existence of three solutions of Dirichlet fractional systems involving the p-Laplacian with Lipschitz nonlinearity	8
Some properties of implicit impulsive coupled system via φ-Hilfer fractional operator	8
Multiple solutions for a class of nonlocal quasilinear elliptic systems in Orlicz–Sobolev spaces	8
On a new fractional Sobolev space with variable exponent on complete manifolds	8
Existence and multiplicity of solutions for $p(x)$-Laplacian problem with Steklov boundary condition	7
How far does logistic dampening influence the global solvability of a high-dimensional chemotaxis system?	7
A weak solution for a $(p(x),q(x))$-Laplacian elliptic problem with a singular term	7
Nonnegative solution of a class of double phase problems with logarithmic nonlinearity	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
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
Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques	6
A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality	6
On the fractional partial integro-differential equations of mixed type with non-instantaneous impulses	6
Bifurcations, chaotic behavior, sensitivity analysis, and various soliton solutions for the extended nonlinear Schrödinger equation	6
Nonstandard competing anisotropic $(p,q)$-Laplacians with convolution	6
Local solvability and stability of the inverse problem for the non-self-adjoint Sturm–Liouville operator	6
Time accurate solution to Benjamin–Bona–Mahony–Burgers equation via Taylor–Boubaker series scheme	6
General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms	6
Controllability of fractional evolution systems of Sobolev type via resolvent operators	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
Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity	5
A study on controllability of impulsive fractional evolution equations via resolvent operators	5
On qualitative analysis of boundary value problem of variable order fractional delay differential equations	5
Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread	5
Nonlocal boundary value problems for ψ-Hilfer fractional-order Langevin equations	5
Existence of nontrivial solutions for fractional Schrödinger equations with electromagnetic fields and critical or supercritical nonlinearity	5
Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions	5
A periodic boundary value problem with switchings under nonlinear perturbations	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
Well-posedness and behaviors of solutions to an integrable evolution equation	4
Solutions for a category of singular nonlinear fractional differential equations subject to integral boundary conditions	4
Steady state for a predator–prey cross-diffusion system with the Beddington–DeAngelis and Tanner functional response	4
The existence, uniqueness, and stability results for a nonlinear coupled system using ψ-Caputo fractional derivatives	4
Spectral discretization of time-dependent vorticity–velocity–pressure formulation of the Navier–Stokes equations	4
Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations	4
Normalized solutions for a coupled fractional Schrödinger system in low dimensions	4
The existence of nontrivial solution of a class of Schrödinger–Bopp–Podolsky system with critical growth	4
Three new approaches for solving a class of strongly nonlinear two-point boundary value problems	4
Properties of solutions to fractional p-subLaplace equations on the Heisenberg group	4
Analysis of a hybrid integro-differential inclusion	4
New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem	4
The Neumann problem for a class of generalized Kirchhoff-type potential systems	4
A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus	4
Variational approach to instantaneous and noninstantaneous impulsive system of differential equations	3
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient	3
On some qualitative results in thermodynamics of Cosserat bodies	3

Some results on stability and continuous dependence in Green-Naghdi thermoelasticity of Cosserat bodies	3
On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime	3
On the existence of nontrivial solutions for quasilinear Schrödinger systems	3
Existence of a strong solution to moist atmospheric equations with the effects of topography	3
Uniqueness and concentration for a fractional Kirchhoff problem with strong singularity	3
The dual eigenvalue problems of the conformable fractional Sturm–Liouville problems	3
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients	3
Infinitely many solutions for the discrete Schrödinger equations with a nonlocal term	3
Multivalued nonmonotone dynamic boundary condition	3
On resonant mixed Caputo fractional differential equations	3
Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations	3
Direct and inverse problems for nonlocal heat equation with boundary conditions of periodic type	3
Multiple solutions for singular semipositone boundary value problems of fourth-order differential systems with parameters	3
Existence and multiplicity of nontrivial solutions for poly-Laplacian systems on finite graphs	3
Existence–uniqueness and monotone iteration of positive solutions to nonlinear tempered fractional differential equation with p-Laplacian operator	3
Existence of solutions for functional boundary value problems at resonance on the half-line	3
A class of Schrödinger elliptic equations involving supercritical exponential growth	3
A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations	3
Nonlinear differential equations with perturbed Dirichlet integral boundary conditions	3
Some notes on conformable fractional Sturm–Liouville problems	3
Solvability of a moving contact-line problem with interface formation for an incompressible viscous fluid	3
Existence and uniqueness of finite beam deflection on nonlinear non-uniform elastic foundation with arbitrary well-posed boundary condition	3
Multiplicity of solutions for an anisotropic variable exponent problem	3
Hopf bifurcation in a delayed reaction–diffusion–advection equation with ideal free dispersal	3
Existence-uniqueness of positive solutions to nonlinear impulsive fractional differential systems and optimal control	3
Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias	3
A faster iterative method for solving nonlinear third-order BVPs based on Green’s function	3
The entropy weak solution to a generalized Fornberg–Whitham equation	3
Decay rate of the solutions to the Cauchy problem of the Bresse system in thermoelasticity of type III with distributed delay	2
Analysis of the magneto-thermoelastic vibrations of rotating Euler–Bernoulli nanobeams using the nonlocal elasticity model	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
Multiple solutions for a class of anisotropic p⃗-Laplacian problems	2
Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions	2
Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term	2
On global classical solutions to one-dimensional compressible Navier–Stokes/Allen–Cahn system with density-dependent viscosity and vacuum	2
An application of artificial neural networks for solving fractional higher-order linear integro-differential equations	2
Elliptic problem driven by different types of nonlinearities	2
Application of C-Bézier and H-Bézier basis functions to numerical solution of convection-diffusion equations	2
On the asymptotic behavior of solutions of anisotropic viscoelastic body	2
Structural stability for the Forchheimer equations interfacing with a Darcy fluid in a bounded region in $\mathbb{R}^{3}$	2
Identification of the bulk modulus coefficient in the acoustic equation from boundary observation: a sentinel method	2
Existence result for a Kirchhoff elliptic system with variable parameters and additive right-hand side via sub- and supersolution method	2
Singularly perturbed quasilinear Choquard equations with nonlinearity satisfying Berestycki–Lions assumptions	2
A fast multiscale Galerkin algorithm for solving boundary value problem of the fractional Bagley–Torvik equation	2
On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation	2
Existence and uniqueness criterion of a periodic solution for a third-order neutral differential equation with multiple delay	2
Generalized fractional calculus in Banach spaces and applications to existence results for boundary value problems	2
Existence of least energy nodal solution for Kirchhoff–Schrödinger–Poisson system with potential vanishing	2
A new method for high-order boundary value problems	2
High perturbations of a new Kirchhoff problem involving the p-Laplace operator	2
On a nonlocal implicit problem under Atangana–Baleanu–Caputo fractional derivative	2
Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential	2
Three positive solutions for a nonlinear partial discrete Dirichlet problem with $(p,q)$-Laplacian operator	2
Analysis of stochastic neutral fractional functional differential equations	2
Infinitely many homoclinic solutions for sublinear and nonperiodic Schrödinger lattice systems	2
Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term	2
New generalized Halanay inequalities and relative applications to neural networks with variable delays	2
On the analytical and numerical study for fractional q-integrodifferential equations	2
A relation-theoretic set-valued version of Prešić-Ćirić theorem and applications	2
Ulam stability of first-order nonlinear impulsive dynamic equations	2