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 2020-04-01 to 2024-04-01.)

Article	Citations
Impact of thermal conductivity on the thermophysical properties and rheological behavior of nanofluid and hybrid nanofluid	30
The impact of LRBF-FD on the solutions of the nonlinear regularized long wave equation	27
Neutrosophic metric spaces	26
Spam detection through feature selection using artificial neural network and sine–cosine algorithm	24
Approximate solution of MRLW equation in B-spline environment	21
The impact of the Chebyshev collocation method on solutions of the time-fractional Black–Scholes	20
On the fractional integral inclusions having exponential kernels for interval-valued convex functions	20
Solvability of generalized fractional order integral equations via measures of noncompactness	20
A new statistical approach to model the counts of novel coronavirus cases	16
A fast and efficient scheme for solving a class of nonlinear Lienard’s equations	13
Solution of singularly perturbed differential difference equations and convection delayed dominated diffusion equations using Haar wavelet	13
On some generalized non-linear functional integral equations of two variables via measures of noncompactness and numerical method to solve it	13
Numerical Hilbert space solution of fractional Sobolev equation in $$\left(1+1\right)$$-dimensional space	13
Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem	12
A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis	12
Discussions on diffraction and the dispersion for traveling wave solutions of the (2+1)-dimensional paraxial wave equation	12
Numerical simulations of Kuramoto–Sivashinsky equation in reaction-diffusion via Galerkin method	11
Optimization for multi-objective sum of linear and linear fractional programming problem: fuzzy nonlinear programming approach	11
Perturbed optical solitons with conformable time-space fractional Gerdjikov–Ivanov equation	11
Tangent nonlinear equation in context of fractal fractional operators with nonsingular kernel	10
Numerical analysis of nonlinear fractional Klein–Fock–Gordon equation arising in quantum field theory via Caputo–Fabrizio fractional operator	10
Numerical treatment for Burgers–Fisher and generalized Burgers–Fisher equations	9
On discrete fractional-order Lotka-Volterra model based on the Caputo difference discrete operator	9
An implicit approach to the micropolar fluid model of blood flow under the effect of body acceleration	8
Approximate price of the option under discretization by applying quadratic interpolation and Legendre polynomials	8

A numerical method for nonlinear fractional reaction–advection–diffusion equation with piecewise fractional derivative	8
Improving decision-making units in performance analysis methods: a data envelopment analysis approach	8
Some computational convergent iterative algorithms to solve nonlinear problems	8
A new wavelet method for solving a class of nonlinear partial integro-differential equations with weakly singular kernels	8
R-topological spaces and SR-topological spaces with their applications	8
Modified wavelet method for solving multitype variable-order fractional partial differential equations generated from the modeling of phenomena	7
The exact solutions of the conformable time fractional version of the generalized Pochhammer–Chree equation	7
Laguerre polynomial solutions of linear fractional integro-differential equations	7
Inverse nodal problem for discontinuous Sturm–Liouville operator by new Prüfer Substitutions	7
Pell–Lucas series approach for a class of Fredholm-type delay integro-differential equations with variable delays	7
Nonlinear dynamics of the Burgers’ equation and numerical experiments	7
Application of Pell collocation method for solving the general form of time-fractional Burgers equations	6
Dynamical analysis of a fractional-order foot-and-mouth disease model	6
A numerical scheme for the solution of neutral integro-differential equations including variable delay	6
Fractional Gegenbauer wavelets operational matrix method for solving nonlinear fractional differential equations	6
Sinc–Galerkin approach for thermal analysis of moving porous fin subject to nanoliquid flow with different shaped nanoparticles	6
A Taylor–Chebyshev approximation technique to solve the 1D and 2D nonlinear Burgers equations	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
Lump solutions and bilinear Bäcklund transformation for the $$(4+1)$$-dimensional Fokas equation	6
On the modeling and numerical discretizations of a chaotic system via fractional operators with and without singular kernels	5
Mathematical analysis of hybridized ferromagnetic nanofluid with induction of copper oxide nanoparticles in permeable channel by incorporating Darcy–Forchheimer relation	5
A new method for solving linear programming problems using Z-numbers’ ranking	5
Theoretical and numerical bifurcation analysis of a predator–prey system with ratio-dependence	5
Numerical solution of second-order two-dimensional hyperbolic equation by bi-cubic B-spline collocation method	5
Exploration of some novel solutions to a coupled Schrödinger–KdV equations in the interactions of capillary-gravity waves	5
Some induced generalized geometric aggregation operators based on interval-valued Pythagorean fuzzy numbers	5
Complex conformable Rolle’s and Mean Value Theorems	4
Supporting vectors for the $$\ell _1$$-norm and the $$\ell _{\infty }$$-norm and an application	4
The numerical study of advection–diffusion equations by the fourth-order cubic B-spline collocation method	4
A high-order compact alternating direction implicit method for solving the 3D time-fractional diffusion equation with the Caputo–Fabrizio operator	4
Numerical solution of fractional differential equations using hybrid Bernoulli polynomials and block pulse functions	4
Eigenvalues and eigenfunctions of fourth-order sturm-liouville problems using Bernoulli series with Chebychev collocation points	4
Numerical solutions of two-dimensional fractional Schrodinger equation	4
Numerical solution of fractional delay Volterra integro-differential equations by Bernstein polynomials	4
Fractional shifted legendre tau method to solve linear and nonlinear variable-order fractional partial differential equations	4
Generalized robust-regression-type estimators under different ranked set sampling	4
A numerical scheme based on Gegenbauer wavelets for solving a class of relaxation–oscillation equations of fractional order	4
On novel analytical solution of time-fractional Schrödinger equation within a hybrid transform	4
Numerical methods for solving Schrödinger equations in complex reproducing kernel Hilbert spaces	4
Some fixed soft point results on soft S-metric spaces	4
An improved radial basis functions method for the high-order Volterra–Fredholm integro-differential equations	4
A Legendre spectral-finite difference method for Caputo–Fabrizio time-fractional distributed-order diffusion equation	4
Cost efficiency measurement with price uncertainty: a data envelopment analysis	3
Mixed hyperbolic/trigonometric non-stationary subdivision scheme	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
Approximation of fixed points for a class of mappings satisfying property (CSC) in Banach spaces	3
Fractional Bell collocation method for solving linear fractional integro-differential equations	3
Reproducing kernel method to solve non-local fractional boundary value problem	3
Computational algorithm for financial mathematical model based on European option	3

Fixed point results for a generalized F-contractive mapping on closed ball with application	3
Strong and pure fixed point properties of mappings on normed spaces	3
Some fixed point results of $$(\phi , \psi ,\theta )$$-contractive mappings in ordered b-metric spaces	3
A novel computational approach to the local fractional Lonngren wave equation in fractal media	3
An operational matrix method to solve linear Fredholm–Volterra integro-differential equations with piecewise intervals	3
An adaptive finite element method for Riesz fractional partial integro-differential equations	3
Compact operators on spaces of binomial fractional difference sequences	2
New strategic method for fractional mitigating internet bottleneck with quadratic–cubic nonlinearity	2
On establishing qualitative theory to nonlinear boundary value problem of fractional differential equations	2
Fourth-order cubic B-spline collocation method for hyperbolic telegraph equation	2
Application of finite difference method in solving a second- and fourth-order PDE blending denoising model	2
Filter design based on the fractional Fourier transform associated with new convolutions and correlations	2
Space-time pseudospectral method for the variable-order space-time fractional diffusion equation	2
Finite-time stability in measure for nabla uncertain discrete linear fractional order systems	2
Fuzzy fixed point results via simulation functions	2
The maximal positive definite solution of the nonlinear matrix equation $$X + A^{}X^{-1}A+B^{}X^{-1}B = I $$	2
Solving Dirichlet boundary problems for ODEs via swarm intelligence	2
A comparative study with bootstrap resampling technique to uncover behavior of unconditional hazards and survival functions for gamma and inverse Gaussian frailty models	2
Taylor wavelets collocation technique for solving fractional nonlinear singular PDEs	2
A new numerical strategy for solving nonlinear singular Emden-Fowler delay differential models with variable order	2
Numerical investigation of the two-dimensional space-time fractional diffusion equation in porous media	2
A note on linear non-Newtonian Volterra integral equations	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
Gaussian radial basis function and quadrature Sinc method for two-dimensional space-fractional diffusion equations	2
High-order exponentially fitted and trigonometrically fitted explicit two-derivative Runge–Kutta-type methods for solving third-order oscillatory problems	2
An efficient solution of system of generalized Abel integral equations using Bernstein polynomials wavelet bases	2
Bi-additive $$\sigma$$-random operator inequalities and random quasi-$$*$$-multipliers on MB-algebras	2
Determining a common set of weights in data envelopment analysis by bootstrap	2
Providing a model for predicting futures contract of gold coin price by using models based on Z-numbers	2
A numerical method to solve fractional pantograph differential equations with residual error analysis	2
Numerical solution by quintic B-spline collocation finite element method of generalized Rosenau–Kawahara equation	2