OOIR: Observatory of International Research

Papers

(The median citation count of Mathematical Sciences 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 2021-09-01 to 2025-09-01.)

Article	Citations
An algorithm for the Burgers’ equation using barycentric collocation method with a high-order exponential Lie-group scheme	35
A Legendre spectral-finite difference method for Caputo–Fabrizio time-fractional distributed-order diffusion equation	30
Finite-time stability in measure for nabla uncertain discrete linear fractional order systems	29
A unique weak solution for the fractional integro-differential schrödinger equations	22
Numerical solution of Coupled Viscous Burgers’ equations using RBF-QR method	15
Numerical Hilbert space solution of fractional Sobolev equation in $$\left(1+1\right)$$-dimensional space	15
Improved Dai-Yuan iterative schemes for convex constrained monotone nonlinear systems	14
Traveling fronts of viscous Burgers’ equations with the nonlinear degenerate viscosity	14
An explicit two-stage truncated Runge–Kutta method for nonlinear stochastic differential equations	13
A numerical method for nonlinear fractional reaction–advection–diffusion equation with piecewise fractional derivative	12
Iterative algorithms for common fixed points of a countable family of quasi-nonexpansive multivalued mappings in CAT(0) spaces	12
On the fractional integral inclusions having exponential kernels for interval-valued convex functions	11
On discrete fractional-order Lotka-Volterra model based on the Caputo difference discrete operator	11
A numerical method based on hybrid functions for solving a fractional model of HIV infection of CD4$$^+$$ T cells	11
An adaptive finite element method for Riesz fractional partial integro-differential equations	10
A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis	9
Space-time pseudospectral method for the variable-order space-time fractional diffusion equation	8
A theoretical approach to ranking of parametric fuzzy numbers using value and left–right ambiguity	8
Deterministic modelling of optimal control strategies for dengue fever transmission in two interconnected patches	8
Numerical solution of the diffusion problem of distributed order based on the Sinc-collocation method	8
A new adaptive Levenberg–Marquardt parameter with a nonmonotone and trust region strategies for the system of nonlinear equations	7
Filter design based on the fractional Fourier transform associated with new convolutions and correlations	7
Solvability of some fractional differential equations in the Hölder space $${\mathcal {H}}_{\gamma }(\mathbb {R_+})$$ and their numerical treatment via measures of noncompactness	6
Efficient sixth-order finite difference method for the two-dimensional nonlinear wave equation with variable coefficient	6
A high-order numerical method for solving nonlinear derivative-dependent singular boundary value problems using trigonometric B-spline basis function	6

On the modeling and numerical discretizations of a chaotic system via fractional operators with and without singular kernels	6
Existence of the solution of nonlinear fractional differential equations via new best proximity point results	5
Robust bivariate polynomials scheme with convergence analysis for two-dimensional nonlinear optimal control problem	5
Application of numerical solution of linear Fredholm integral equation of the first kind for image restoration	5
A numerical scheme based on Gegenbauer wavelets for solving a class of relaxation–oscillation equations of fractional order	5
Correction to: A note on linear non-Newtonian Volterra integral equations	5
Numerical solution of fractional pantograph equations via Müntz–Legendre polynomials	5
A discussion concerning approximate controllability results for Hilfer fractional evolution equations with time delay	4
Approximate price of the option under discretization by applying quadratic interpolation and Legendre polynomials	4
Numerical and analytical solution to a conformable fractional Fornberg–Whitham equation	4
Measures of noncompactness in the space of regulated functions $$R (J, \mathbb {R}^{\infty })$$ and its application to some nonlinear infinite systems of fractional differential equations	4
Numerical study of nonlinear generalized Burgers–Huxley equation by multiquadric quasi-interpolation and pseudospectral method	3
HTR approach to the asymptotic solutions of supersonic boundary layer problem: the case of slow acoustic waves interacting with streamwise isolated wall roughness	3
A generalized Gegenbauer wavelet collocation method for solving p-type fractional neutral delay differential and delay partial differential equations	3
Application of finite difference method in solving a second- and fourth-order PDE blending denoising model	3
Structures of exact solutions for the modified nonlinear Schrödinger equation in the sense of conformable fractional derivative	3
Analysis of multi-term time complex fractional diffusion equation with Hilfer-Hadamard fractional derivative	3
Applications of Sine–Cosine wavelets method for solving the generalized Hirota–Satsuma coupled KdV equation	3
Exploration of some novel solutions to a coupled Schrödinger–KdV equations in the interactions of capillary-gravity waves	2
A new method for solving linear programming problems using Z-numbers’ ranking	2
Differential and integrodifferential equations for Gould–Hopper–Frobenius–Euler polynomials	2
Mean-square convergence analysis of the semi-implicit scheme for stochastic differential equations driven by the Wiener processes	2
Stability and convergence of a new hybrid method for fractional partial differential equations	2
The Exponential–Weibull logarithmic transformation with different estimation approaches under the right censoring scheme	2
Taylor wavelets collocation technique for solving fractional nonlinear singular PDEs	2
Numerical solution of fractional delay Volterra integro-differential equations by Bernstein polynomials	2
An error estimation of a Nyström type method for integral-algebraic equations of index-1	2
Application of fixed point theorem on the study of the existence of solutions in some fractional stochastic functional integral equations	2
On mild solutions of fractional impulsive differential systems of Sobolev type with fractional nonlocal conditions	2