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 2020-11-01 to 2024-11-01.)

Article	Citations
Analysis of multipoint impulsive problem of fractional-order differential equations	35
On a new structure of the pantograph inclusion problem in the Caputo conformable setting	28
Solving systems of coupled nonlinear Atangana–Baleanu-type fractional differential equations	23
A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers–Ulam stability	21
Bifurcations, chaotic behavior, sensitivity analysis, and various soliton solutions for the extended nonlinear Schrödinger equation	20
Mathematical analysis of nonlinear integral boundary value problem of proportional delay implicit fractional differential equations with impulsive conditions	16
Stability for generalized Caputo proportional fractional delay integro-differential equations	15
Three solutions for a partial discrete Dirichlet boundary value problem with p-Laplacian	15
Existence and stability results for nonlocal boundary value problems of fractional order	14
Implicit nonlinear fractional differential equations of variable order	12
The existence of solutions for Sturm–Liouville differential equation with random impulses and boundary value problems	12
Asymptotic behavior for a viscoelastic Kirchhoff equation with distributed delay and Balakrishnan–Taylor damping	11
A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality	10
Global existence and exponential stability of coupled Lamé system with distributed delay and source term without memory term	10
Nonnegative solution of a class of double phase problems with logarithmic nonlinearity	9
Existence and multiplicity of solutions for $p(x)$-Laplacian problem with Steklov boundary condition	9
The sub-supersolution method for a nonhomogeneous elliptic equation involving Lebesgue generalized spaces	9
A weak solution for a $(p(x),q(x))$-Laplacian elliptic problem with a singular term	9
How far does logistic dampening influence the global solvability of a high-dimensional chemotaxis system?	8
Some properties of implicit impulsive coupled system via φ-Hilfer fractional operator	8
On a new fractional Sobolev space with variable exponent on complete manifolds	8
Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques	8
Nonstandard competing anisotropic $(p,q)$-Laplacians with convolution	8
Multiple solutions for a class of nonlocal quasilinear elliptic systems in Orlicz–Sobolev spaces	8
Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations	7

Time accurate solution to Benjamin–Bona–Mahony–Burgers equation via Taylor–Boubaker series scheme	7
The existence, uniqueness, and stability results for a nonlinear coupled system using ψ-Caputo fractional derivatives	7
Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative	7
General decay for a viscoelastic von Karman equation with delay and variable exponent nonlinearities	7
A periodic boundary value problem with switchings under nonlinear perturbations	6
Existence and stability of a q-Caputo fractional jerk differential equation having anti-periodic boundary conditions	6
A novel Elzaki transform homotopy perturbation method for solving time-fractional non-linear partial differential equations	6
Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations	6
On qualitative analysis of boundary value problem of variable order fractional delay differential equations	6
General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms	6
Existence and H-U stability of a tripled system of sequential fractional differential equations with multipoint boundary conditions	6
Structural stability for the Boussinesq equations interfacing with Darcy equations in a bounded domain	5
Nonlocal boundary value problems for ψ-Hilfer fractional-order Langevin equations	5
On Glassey’s conjecture for semilinear wave equations in Friedmann–Lemaître–Robertson–Walker spacetime	5
Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients	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
Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread	5
Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias	5
Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions	5
The dual eigenvalue problems of the conformable fractional Sturm–Liouville problems	4
The Neumann problem for a class of generalized Kirchhoff-type potential systems	4
Analysis of a hybrid integro-differential inclusion	4
On the existence of nontrivial solutions for quasilinear Schrödinger systems	4
Analysis of stochastic neutral fractional functional differential equations	4
Generalized fractional calculus in Banach spaces and applications to existence results for boundary value problems	4
Solutions for a category of singular nonlinear fractional differential equations subject to integral boundary conditions	4
Multiplicity of solutions for an anisotropic variable exponent problem	4
Existence and multiplicity of nontrivial solutions for poly-Laplacian systems on finite graphs	4
New generalized Halanay inequalities and relative applications to neural networks with variable delays	4
New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem	4
Steady state for a predator–prey cross-diffusion system with the Beddington–DeAngelis and Tanner functional response	4
Direct and inverse problems for nonlocal heat equation with boundary conditions of periodic type	4
A new version of $( p,q ) $-Hermite–Hadamard’s midpoint and trapezoidal inequalities via special operators in $( p,q ) $-calculus	4
High perturbations of a new Kirchhoff problem involving the p-Laplace operator	3
Hopf bifurcation in a delayed reaction–diffusion–advection equation with ideal free dispersal	3
Three new approaches for solving a class of strongly nonlinear two-point boundary value problems	3
Multivalued nonmonotone dynamic boundary condition	3
The inverse problem for the heat equation with reflection of the argument and with a complex coefficient	3
An application of artificial neural networks for solving fractional higher-order linear integro-differential equations	3
A note on inhomogeneous fractional Schrödinger equations	3
A faster iterative method for solving nonlinear third-order BVPs based on Green’s function	3
Higher-order p-Laplacian boundary value problems with resonance of dimension two on the half-line	3
Existence and stability results for nonlinear fractional integrodifferential coupled systems	3
Optimal control for a chemotaxis–haptotaxis model in two space dimensions	3
Fitted numerical method for singularly perturbed Burger–Huxley equation	3
Some notes on conformable fractional Sturm–Liouville problems	3
Some results on stability and continuous dependence in Green-Naghdi thermoelasticity of Cosserat bodies	3
Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses	3
Nonlinear differential equations with perturbed Dirichlet integral boundary conditions	3

Variational approach to instantaneous and noninstantaneous impulsive system of differential equations	3
A new method for high-order boundary value problems	3
Existence of triple solutions for elliptic equations driven by p-Laplacian-like operators with Hardy potential under Dirichlet–Neumann boundary conditions	3
Identification of the bulk modulus coefficient in the acoustic equation from boundary observation: a sentinel method	3
Uniqueness and concentration for a fractional Kirchhoff problem with strong singularity	3
Multiple solutions for singular semipositone boundary value problems of fourth-order differential systems with parameters	3
A class of Schrödinger elliptic equations involving supercritical exponential growth	3
Elliptic problem driven by different types of nonlinearities	3
Infinitely many solutions for the discrete Schrödinger equations with a nonlocal term	3
Solvability of a moving contact-line problem with interface formation for an incompressible viscous fluid	3
A class of biharmonic nonlocal quasilinear systems consisting of Leray–Lions type operators with Hardy potentials	2
Positive ground states for nonlinear Schrödinger–Kirchhoff equations with periodic potential or potential well in $\mathbf{R}^{3}$	2
On a nonlocal implicit problem under Atangana–Baleanu–Caputo fractional derivative	2
Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation	2
Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential	2
Multiple solutions for a class of anisotropic p⃗-Laplacian problems	2
A relation-theoretic set-valued version of Prešić-Ćirić theorem and applications	2
Numerical solution of Bratu’s boundary value problem based on Green’s function and a novel iterative scheme	2
On global classical solutions to one-dimensional compressible Navier–Stokes/Allen–Cahn system with density-dependent viscosity and vacuum	2
Blow-up for a viscoelastic von Karman equation with strong damping and variable exponent source terms	2
Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term	2
On three-dimensional Hall-magnetohydrodynamic equations with partial dissipation	2
Existence and stability analysis for Caputo generalized hybrid Langevin differential systems involving three-point boundary conditions	2
Application of C-Bézier and H-Bézier basis functions to numerical solution of convection-diffusion equations	2
Analysis of mathematical model involving nonlinear systems of Caputo–Fabrizio fractional differential equation	2
On some qualitative results in thermodynamics of Cosserat bodies	2
The first initial-boundary value problem of parabolic Monge–Ampère equations outside a bowl-shaped domain	2
Structural stability for the Forchheimer equations interfacing with a Darcy fluid in a bounded region in $\mathbb{R}^{3}$	2
Numerical resolution of the wave equation using the spectral method	2
Dynamic analysis of a stochastic four species food-chain model with harvesting and distributed delay	2
Existence and stability analysis for a class of fractional pantograph q-difference equations with nonlocal boundary conditions	2
On the analytical and numerical study for fractional q-integrodifferential equations	2
Bifurcation curves and exact multiplicity of positive solutions for Dirichlet problems with the Minkowski-curvature equation	2
Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term	2
Existence and uniqueness criterion of a periodic solution for a third-order neutral differential equation with multiple delay	2
Decay rate of the solutions to the Cauchy problem of the Bresse system in thermoelasticity of type III with distributed delay	2
A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law	2
Legendre spectral collocation method for distributed and Riesz fractional convection–diffusion and Schrödinger-type equation	2
Solutions to a $(p(x),q(x))$-biharmonic elliptic problem on a bounded domain	2
Mixed Cauchy problem with lateral boundary condition for noncharacteristic degenerate hyperbolic equations	2
Analysis of the magneto-thermoelastic vibrations of rotating Euler–Bernoulli nanobeams using the nonlocal elasticity model	2
On the noncooperative Schrödinger–Kirchhoff system involving the critical nonlinearities on the Heisenberg group	2
Solvability and Volterra property of nonlocal problems for mixed fractional-order diffusion-wave equation	2
Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity	2
Three positive solutions for a nonlinear partial discrete Dirichlet problem with $(p,q)$-Laplacian operator	2
Existence of positive solutions for p-Laplacian boundary value problems of fractional differential equations	2
New version of midpoint-type inequalities for co-ordinated convex functions via generalized conformable integrals	2
Infinitely many homoclinic solutions for sublinear and nonperiodic Schrödinger lattice systems	2
Ulam stability of first-order nonlinear impulsive dynamic equations	2
Singularly perturbed quasilinear Choquard equations with nonlinearity satisfying Berestycki–Lions assumptions	2
Qualitative analysis of a prey–predator model with prey refuge and intraspecific competition among predators	2
Traveling wave solutions for a class of reaction-diffusion system	2
Existence and uniqueness of solutions for multi-order fractional differential equations with integral boundary conditions	2
On the asymptotic behavior of solutions of anisotropic viscoelastic body	2