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 2021-05-01 to 2025-05-01.)

Article	Citations
An algorithm for the Burgers’ equation using barycentric collocation method with a high-order exponential Lie-group scheme	32
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	27
Fuzzy fixed point results via simulation functions	22
Nonlinear dynamics of the Burgers’ equation and numerical experiments	21
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
A unique weak solution for the fractional integro-differential schrödinger equations	13
Mathematical analysis of hybridized ferromagnetic nanofluid with induction of copper oxide nanoparticles in permeable channel by incorporating Darcy–Forchheimer relation	12
Undesirable factors and marginal rates of substitution in Data Envelopment Analysis	12
An explicit two-stage truncated Runge–Kutta method for nonlinear stochastic differential equations	12
Traveling fronts of viscous Burgers’ equations with the nonlinear degenerate viscosity	12
Improved Dai-Yuan iterative schemes for convex constrained monotone nonlinear systems	12
An improved radial basis functions method for the high-order Volterra–Fredholm integro-differential equations	10
Iterative algorithms for common fixed points of a countable family of quasi-nonexpansive multivalued mappings in CAT(0) spaces	9
A numerical method for nonlinear fractional reaction–advection–diffusion equation with piecewise fractional derivative	9
Fourth-order cubic B-spline collocation method for hyperbolic telegraph equation	9
A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis	8
On the fractional integral inclusions having exponential kernels for interval-valued convex functions	8
Some fixed point results of $$(\phi , \psi ,\theta )$$-contractive mappings in ordered b-metric spaces	8
An adaptive finite element method for Riesz fractional partial integro-differential equations	7
A numerical method based on hybrid functions for solving a fractional model of HIV infection of CD4$$^+$$ T cells	7
On discrete fractional-order Lotka-Volterra model based on the Caputo difference discrete operator	6
Numerical solution of the diffusion problem of distributed order based on the Sinc-collocation method	6
Deterministic modelling of optimal control strategies for dengue fever transmission in two interconnected patches	6

A continuous kernel functions method for mixed-type functional differential equations	6
Some concave functions on Lorentzian manifolds	6
Numerical solution by quintic B-spline collocation finite element method of generalized Rosenau–Kawahara equation	5
Filter design based on the fractional Fourier transform associated with new convolutions and correlations	5
Solvability of some fractional differential equations in the Hölder space $${\mathcal {H}}_{\gamma }(\mathbb {R_+})$$ and their numerical treatment via measures of noncompactness	5
A theoretical approach to ranking of parametric fuzzy numbers using value and left–right ambiguity	5
Space-time pseudospectral method for the variable-order space-time fractional diffusion equation	5
A new adaptive Levenberg–Marquardt parameter with a nonmonotone and trust region strategies for the system of nonlinear equations	5
On the modeling and numerical discretizations of a chaotic system via fractional operators with and without singular kernels	5
Numerical solution of fractional pantograph equations via Müntz–Legendre polynomials	4
A numerical scheme based on Gegenbauer wavelets for solving a class of relaxation–oscillation equations of fractional order	4
Application of numerical solution of linear Fredholm integral equation of the first kind for image restoration	4
Modified wavelet method for solving multitype variable-order fractional partial differential equations generated from the modeling of phenomena	4
Correction to: A note on linear non-Newtonian Volterra integral equations	4
A high-order numerical method for solving nonlinear derivative-dependent singular boundary value problems using trigonometric B-spline basis function	4
Efficient sixth-order finite difference method for the two-dimensional nonlinear wave equation with variable coefficient	3
Numerical and analytical solution to a conformable fractional Fornberg–Whitham equation	3
Approximate price of the option under discretization by applying quadratic interpolation and Legendre polynomials	3
Applications of Sine–Cosine wavelets method for solving the generalized Hirota–Satsuma coupled KdV equation	3
Existence of the solution of nonlinear fractional differential equations via new best proximity point results	3
Perfect 2-colorings of the Johnson graph J(9, 4)	3
A note on linear non-Newtonian Volterra integral equations	3
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	3
Structures of exact solutions for the modified nonlinear Schrödinger equation in the sense of conformable fractional derivative	3
Robust bivariate polynomials scheme with convergence analysis for two-dimensional nonlinear optimal control problem	3
High-order exponentially fitted and trigonometrically fitted explicit two-derivative Runge–Kutta-type methods for solving third-order oscillatory problems	3
A discussion concerning approximate controllability results for Hilfer fractional evolution equations with time delay	3
Numerical study of nonlinear generalized Burgers–Huxley equation by multiquadric quasi-interpolation and pseudospectral method	3
A generalized Gegenbauer wavelet collocation method for solving p-type fractional neutral delay differential and delay partial differential equations	3
Mixed hyperbolic/trigonometric non-stationary subdivision scheme	2
Mean-square convergence analysis of the semi-implicit scheme for stochastic differential equations driven by the Wiener processes	2
HTR approach to the asymptotic solutions of supersonic boundary layer problem: the case of slow acoustic waves interacting with streamwise isolated wall roughness	2
A new method for solving linear programming problems using Z-numbers’ ranking	2
Hedging of options for jump-diffusion stochastic volatility models by Malliavin calculus	2
Application of fixed point theorem on the study of the existence of solutions in some fractional stochastic functional integral equations	2
Numerical solution of fractional delay Volterra integro-differential equations by Bernstein polynomials	2
Exploration of some novel solutions to a coupled Schrödinger–KdV equations in the interactions of capillary-gravity waves	2
An error estimation of a Nyström type method for integral-algebraic equations of index-1	2
On mild solutions of fractional impulsive differential systems of Sobolev type with fractional nonlocal conditions	2
Differential and integrodifferential equations for Gould–Hopper–Frobenius–Euler polynomials	2
Analysis of multi-term time complex fractional diffusion equation with Hilfer-Hadamard fractional derivative	2
Application of finite difference method in solving a second- and fourth-order PDE blending denoising model	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