OOIR: Observatory of International Research

Papers

(The TQCC of Mathematical Sciences is 5. 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
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
Mathematical analysis of hybridized ferromagnetic nanofluid with induction of copper oxide nanoparticles in permeable channel by incorporating Darcy–Forchheimer relation	12
An improved radial basis functions method for the high-order Volterra–Fredholm integro-differential equations	10
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
Iterative algorithms for common fixed points of a countable family of quasi-nonexpansive multivalued mappings in CAT(0) spaces	9
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
A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis	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
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
On discrete fractional-order Lotka-Volterra model based on the Caputo difference discrete operator	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