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 2021-04-01 to 2025-04-01.)

Article	Citations
A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis	31
The maximal positive definite solution of the nonlinear matrix equation $$X + A^{}X^{-1}A+B^{}X^{-1}B = I $$	29
A numerical method based on hybrid functions for solving a fractional model of HIV infection of CD4$$^+$$ T cells	27
Approximation of fixed points for a class of mappings satisfying property (CSC) in Banach spaces	22
Compact operators on spaces of binomial fractional difference sequences	20
Gaussian radial basis function and quadrature Sinc method for two-dimensional space-fractional diffusion equations	15
Electronic spectrum of linear Schrodinger equations by Sinc-Galerkin and Sinc-Collocation methods	14
A modified semi-oriented radial measure to deal with negative and stochastic data: an application in banking industry	13
A Taylor–Chebyshev approximation technique to solve the 1D and 2D nonlinear Burgers equations	13
A numerical scheme based on Gegenbauer wavelets for solving a class of relaxation–oscillation equations of fractional order	12
Correction to: A note on linear non-Newtonian Volterra integral equations	12
Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem	12
Application of numerical solution of linear Fredholm integral equation of the first kind for image restoration	10
Lyapunov-type inequality and existence of solution for a nonlinear fractional differential equation with anti-periodic boundary conditions	10
An algorithm for the Burgers’ equation using barycentric collocation method with a high-order exponential Lie-group scheme	9
Integration of the RLW equation using higher-order predictor–corrector scheme and quintic B-spline collocation method	9
Existence of the solution of nonlinear fractional differential equations via new best proximity point results	9
Correction to: Nonlinear dynamics of the Burgers’ equation and numerical experiments	9
Efficient sixth-order finite difference method for the two-dimensional nonlinear wave equation with variable coefficient	8
Improving decision-making units in performance analysis methods: a data envelopment analysis approach	8
Numerical solution of fractional pantograph equations via Müntz–Legendre polynomials	8
On discrete fractional-order Lotka-Volterra model based on the Caputo difference discrete operator	8
Robust bivariate polynomials scheme with convergence analysis for two-dimensional nonlinear optimal control problem	7
An adaptive finite element method for Riesz fractional partial integro-differential equations	7
Spectral collocation method for solving multi-term fractional integro-differential equations with nonlinear integral	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
On decomposition of generalized Riemannian symmetric spaces and complete lifts of Clifford translations	6
Hedging of options for jump-diffusion stochastic volatility models by Malliavin calculus	5
High-order exponentially fitted and trigonometrically fitted explicit two-derivative Runge–Kutta-type methods for solving third-order oscillatory problems	5
Highly accurate solutions for space–time fractional Schrödinger equations with non-smooth continuous solution using the hybrid clique functions	5
The exact solutions of the conformable time fractional version of the generalized Pochhammer–Chree equation	5
Correction to: Numerical methods for solving Schröinger equations in complex reproducing kernel Hilbert spaces	5
A continuous kernel functions method for mixed-type functional differential equations	5
A note on linear non-Newtonian Volterra integral equations	5
The Exponential–Weibull logarithmic transformation with different estimation approaches under the right censoring scheme	4
Numerical and analytical solution to a conformable fractional Fornberg–Whitham equation	4
Eigenvalues and eigenfunctions of fourth-order sturm-liouville problems using Bernoulli series with Chebychev collocation points	4
On mild solutions of fractional impulsive differential systems of Sobolev type with fractional nonlocal conditions	4
Finite-time stability in measure for nabla uncertain discrete linear fractional order systems	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
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	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
Some concave functions on Lorentzian manifolds	3
Nonlinear dynamics of the Burgers’ equation and numerical experiments	3
Undesirable factors and marginal rates of substitution in Data Envelopment Analysis	3
Solving inverse Sturm–Liouville problem featuring a constant delay by Chebyshev interpolation method	3
An inverse fractional diffusion problem of source identification type	3
A unique weak solution for the fractional integro-differential schrödinger equations	3
A theoretical approach to ranking of parametric fuzzy numbers using value and left–right ambiguity	3
Numerical solution by quintic B-spline collocation finite element method of generalized Rosenau–Kawahara equation	3
Approximate price of the option under discretization by applying quadratic interpolation and Legendre polynomials	3
Deterministic modelling of optimal control strategies for dengue fever transmission in two interconnected patches	3
Numerical solution of the diffusion problem of distributed order based on the Sinc-collocation method	3
An operational matrix method to solve linear Fredholm–Volterra integro-differential equations with piecewise intervals	3
Fuzzy fixed point results via simulation functions	3
Numerical study of nonlinear generalized Burgers–Huxley equation by multiquadric quasi-interpolation and pseudospectral method	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
Solving Dirichlet boundary problems for ODEs via swarm intelligence	2
An explicit two-stage truncated Runge–Kutta method for nonlinear stochastic differential equations	2
Numerical Hilbert space solution of fractional Sobolev equation in $$\left(1+1\right)$$-dimensional space	2
Application of fixed point theorem on the study of the existence of solutions in some fractional stochastic functional integral equations	2
A numerical method for nonlinear fractional reaction–advection–diffusion equation with piecewise fractional derivative	2
Common fixed points approximation of two generalized alpha nonexpansive mappings in partially ordered uniformly convex Banach space	2
Interpolative multivalued $$\alpha _{*}$$-dominated contractive functions in dislocated b-metric spaces and some fixed point results	2
Traveling fronts of viscous Burgers’ equations with the nonlinear degenerate viscosity	2
Improved Dai-Yuan iterative schemes for convex constrained monotone nonlinear systems	2
Numerical solution of Coupled Viscous Burgers’ equations using RBF-QR method	2
Differential and integrodifferential equations for Gould–Hopper–Frobenius–Euler polynomials	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