OOIR: Observatory of International Research

Papers

(The TQCC of Mathematical Sciences is 6. 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 2020-11-01 to 2024-11-01.)

Article	Citations
Impact of thermal conductivity on the thermophysical properties and rheological behavior of nanofluid and hybrid nanofluid	33
The impact of LRBF-FD on the solutions of the nonlinear regularized long wave equation	27
On the fractional integral inclusions having exponential kernels for interval-valued convex functions	26
Solvability of generalized fractional order integral equations via measures of noncompactness	22
The impact of the Chebyshev collocation method on solutions of the time-fractional Black–Scholes	22
A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis	18
Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem	17
Numerical Hilbert space solution of fractional Sobolev equation in $$\left(1+1\right)$$-dimensional space	16
Discussions on diffraction and the dispersion for traveling wave solutions of the (2+1)-dimensional paraxial wave equation	14
On some generalized non-linear functional integral equations of two variables via measures of noncompactness and numerical method to solve it	13
Perturbed optical solitons with conformable time-space fractional Gerdjikov–Ivanov equation	12
A new statistical approach to model the counts of novel coronavirus cases	12
A new wavelet method for solving a class of nonlinear partial integro-differential equations with weakly singular kernels	12
Numerical simulations of Kuramoto–Sivashinsky equation in reaction-diffusion via Galerkin method	12
Numerical analysis of nonlinear fractional Klein–Fock–Gordon equation arising in quantum field theory via Caputo–Fabrizio fractional operator	10
Approximate price of the option under discretization by applying quadratic interpolation and Legendre polynomials	10
Pell–Lucas series approach for a class of Fredholm-type delay integro-differential equations with variable delays	9
Tangent nonlinear equation in context of fractal fractional operators with nonsingular kernel	9
Inverse nodal problem for discontinuous Sturm–Liouville operator by new Prüfer Substitutions	9
Numerical treatment for Burgers–Fisher and generalized Burgers–Fisher equations	9
A numerical method for nonlinear fractional reaction–advection–diffusion equation with piecewise fractional derivative	9
Some computational convergent iterative algorithms to solve nonlinear problems	9
The exact solutions of the conformable time fractional version of the generalized Pochhammer–Chree equation	9
Exploration of some novel solutions to a coupled Schrödinger–KdV equations in the interactions of capillary-gravity waves	8
Improving decision-making units in performance analysis methods: a data envelopment analysis approach	8

Generalized robust-regression-type estimators under different ranked set sampling	8
On discrete fractional-order Lotka-Volterra model based on the Caputo difference discrete operator	8
Modified wavelet method for solving multitype variable-order fractional partial differential equations generated from the modeling of phenomena	8
A numerical scheme for the solution of neutral integro-differential equations including variable delay	8
A Taylor–Chebyshev approximation technique to solve the 1D and 2D nonlinear Burgers equations	8
Fractional Gegenbauer wavelets operational matrix method for solving nonlinear fractional differential equations	7
Dynamical analysis of a fractional-order foot-and-mouth disease model	7
Application of Pell collocation method for solving the general form of time-fractional Burgers equations	7
Mathematical analysis of hybridized ferromagnetic nanofluid with induction of copper oxide nanoparticles in permeable channel by incorporating Darcy–Forchheimer relation	7
Laguerre polynomial solutions of linear fractional integro-differential equations	7
Nonlinear dynamics of the Burgers’ equation and numerical experiments	7
Sinc–Galerkin approach for thermal analysis of moving porous fin subject to nanoliquid flow with different shaped nanoparticles	6
A numerical scheme based on Gegenbauer wavelets for solving a class of relaxation–oscillation equations of fractional order	6
Improving split-step forward methods by ODE solver for stiff stochastic differential equations	6
Highly accurate solutions for space–time fractional Schrödinger equations with non-smooth continuous solution using the hybrid clique functions	6
A new method for solving linear programming problems using Z-numbers’ ranking	6
A Legendre spectral-finite difference method for Caputo–Fabrizio time-fractional distributed-order diffusion equation	6