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 2021-02-01 to 2025-02-01.)

Article	Citations
On establishing qualitative theory to nonlinear boundary value problem of fractional differential equations	35
A Taylor–Chebyshev approximation technique to solve the 1D and 2D nonlinear Burgers equations	26
Electronic spectrum of linear Schrodinger equations by Sinc-Galerkin and Sinc-Collocation methods	20
A numerical scheme based on Gegenbauer wavelets for solving a class of relaxation–oscillation equations of fractional order	19
Compact operators on spaces of binomial fractional difference sequences	16
The maximal positive definite solution of the nonlinear matrix equation $$X + A^{}X^{-1}A+B^{}X^{-1}B = I $$	14
On discrete fractional-order Lotka-Volterra model based on the Caputo difference discrete operator	12
Strong and pure fixed point properties of mappings on normed spaces	12
Approximation of fixed points for a class of mappings satisfying property (CSC) in Banach spaces	12
A numerical method based on hybrid functions for solving a fractional model of HIV infection of CD4$$^+$$ T cells	12
Improving decision-making units in performance analysis methods: a data envelopment analysis approach	10
An algorithm for the Burgers’ equation using barycentric collocation method with a high-order exponential Lie-group scheme	9
Gaussian radial basis function and quadrature Sinc method for two-dimensional space-fractional diffusion equations	9
Efficient sixth-order finite difference method for the two-dimensional nonlinear wave equation with variable coefficient	9
Numerical solution of fractional pantograph equations via Müntz–Legendre polynomials	9
Application of numerical solution of linear Fredholm integral equation of the first kind for image restoration	9
A numerical scheme for the solution of neutral integro-differential equations including variable delay	9
Existence of the solution of nonlinear fractional differential equations via new best proximity point results	8
A modified semi-oriented radial measure to deal with negative and stochastic data: an application in banking industry	8
An adaptive finite element method for Riesz fractional partial integro-differential equations	8
Integration of the RLW equation using higher-order predictor–corrector scheme and quintic B-spline collocation method	8
Inverse nodal problem for discontinuous Sturm–Liouville operator by new Prüfer Substitutions	8
Lyapunov-type inequality and existence of solution for a nonlinear fractional differential equation with anti-periodic boundary conditions	8
Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem	7
Correction to: Nonlinear dynamics of the Burgers’ equation and numerical experiments	7

A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis	7
Correction to: A note on linear non-Newtonian Volterra integral equations	7
Spectral collocation method for solving multi-term fractional integro-differential equations with nonlinear integral	6
Robust bivariate polynomials scheme with convergence analysis for two-dimensional nonlinear optimal control problem	6
Approximate techniques to solve the partial integro-differential equation arising in operational risk: Adomian decomposition method	6
Perfect 2-colorings of the Johnson graph J(9, 4)	6
High-order exponentially fitted and trigonometrically fitted explicit two-derivative Runge–Kutta-type methods for solving third-order oscillatory problems	6
A new modified exponential-geometric distribution: properties and applications	6
On decomposition of generalized Riemannian symmetric spaces and complete lifts of Clifford translations	5
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	5
Finite-time stability in measure for nabla uncertain discrete linear fractional order systems	5
Hedging of options for jump-diffusion stochastic volatility models by Malliavin calculus	5
Keyfitz entropy: investigating some mathematical properties and its application for estimating survival function in life table	4
A neural computational method for solving renewal delay integro-differential equations constrained by the half-line	4
A Legendre spectral-finite difference method for Caputo–Fabrizio time-fractional distributed-order diffusion equation	4
Eigenvalues and eigenfunctions of fourth-order sturm-liouville problems using Bernoulli series with Chebychev collocation points	4
A continuous kernel functions method for mixed-type functional differential equations	4
Numerical and analytical solution to a conformable fractional Fornberg–Whitham equation	4
Highly accurate solutions for space–time fractional Schrödinger equations with non-smooth continuous solution using the hybrid clique functions	4
Approximate price of the option under discretization by applying quadratic interpolation and Legendre polynomials	4
A discussion concerning approximate controllability results for Hilfer fractional evolution equations with time delay	4
A numerical method to solve fractional pantograph differential equations with residual error analysis	4
On mild solutions of fractional impulsive differential systems of Sobolev type with fractional nonlocal conditions	4
The exact solutions of the conformable time fractional version of the generalized Pochhammer–Chree equation	3
Impact of thermal conductivity on the thermophysical properties and rheological behavior of nanofluid and hybrid nanofluid	3
A note on linear non-Newtonian Volterra integral equations	3
$${S}_{H}$$-metric spaces and fixed-point theorems for multi-valued weak contraction mappings	3
Solving inverse Sturm–Liouville problem featuring a constant delay by Chebyshev interpolation method	3
Correction to: Numerical methods for solving Schröinger equations in complex reproducing kernel Hilbert spaces	3
An explicit two-stage truncated Runge–Kutta method for nonlinear stochastic differential equations	3
A unique weak solution for the fractional integro-differential schrödinger equations	3
Sinc–Galerkin approach for thermal analysis of moving porous fin subject to nanoliquid flow with different shaped nanoparticles	3
The Exponential–Weibull logarithmic transformation with different estimation approaches under the right censoring scheme	3
Numerical study of nonlinear generalized Burgers–Huxley equation by multiquadric quasi-interpolation and pseudospectral method	3
Some concave functions on Lorentzian manifolds	3
Application of fixed point theorem on the study of the existence of solutions in some fractional stochastic functional integral equations	2
Mathematical analysis of hybridized ferromagnetic nanofluid with induction of copper oxide nanoparticles in permeable channel by incorporating Darcy–Forchheimer relation	2
Correction to: Robust bivariate polynomials scheme with convergence analysis for two-dimensional nonlinear optimal control problem	2
An inverse fractional diffusion problem of source identification type	2
Fuzzy fixed point results via simulation functions	2
A compatible Hermite–Taylor matrix-collocation technique with convergence test for second-order partial integro-differential equations containing two independent variables with functional bounds	2
Interpolative multivalued $$\alpha _{*}$$-dominated contractive functions in dislocated b-metric spaces and some fixed point results	2
A new statistical approach to model the counts of novel coronavirus cases	2
Nonlinear dynamics of the Burgers’ equation and numerical experiments	2
An operational matrix method to solve linear Fredholm–Volterra integro-differential equations with piecewise intervals	2
Numerical Hilbert space solution of fractional Sobolev equation in $$\left(1+1\right)$$-dimensional space	2
Numerical solution of Coupled Viscous Burgers’ equations using RBF-QR method	2
Numerical solution by quintic B-spline collocation finite element method of generalized Rosenau–Kawahara equation	2
Undesirable factors and marginal rates of substitution in Data Envelopment Analysis	2
A Legendre-spectral method for Hadamard fractional partial differential equations	2

Hahn wavelets collocation method combined with Laplace transform method for solving fractional integro-differential equations	2
Numerical simulations of Kuramoto–Sivashinsky equation in reaction-diffusion via Galerkin method	2
Improved Dai-Yuan iterative schemes for convex constrained monotone nonlinear systems	2
Deterministic modelling of optimal control strategies for dengue fever transmission in two interconnected patches	2
Traveling fronts of viscous Burgers’ equations with the nonlinear degenerate viscosity	2
Numerical solution of the diffusion problem of distributed order based on the Sinc-collocation method	2
Common fixed points approximation of two generalized alpha nonexpansive mappings in partially ordered uniformly convex Banach space	2
A theoretical approach to ranking of parametric fuzzy numbers using value and left–right ambiguity	2
Numerical solution of fractional differential equations using hybrid Bernoulli polynomials and block pulse functions	2
Solving Dirichlet boundary problems for ODEs via swarm intelligence	2