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 2020-11-01 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
The impact of the Chebyshev collocation method on solutions of the time-fractional Black–Scholes	22
Solvability of generalized fractional order integral equations via measures of noncompactness	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
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
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
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
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
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
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
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
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
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
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
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
On the modeling and numerical discretizations of a chaotic system via fractional operators with and without singular kernels	5
Theoretical and numerical bifurcation analysis of a predator–prey system with ratio-dependence	5
Fractional Bell collocation method for solving linear fractional integro-differential equations	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
High-order exponentially fitted and trigonometrically fitted explicit two-derivative Runge–Kutta-type methods for solving third-order oscillatory problems	4
Supporting vectors for the $$\ell _1$$-norm and the $$\ell _{\infty }$$-norm and an application	4
Numerical solution of fractional delay Volterra integro-differential equations by Bernstein polynomials	4
Numerical solution of fractional differential equations using hybrid Bernoulli polynomials and block pulse functions	4
On novel analytical solution of time-fractional Schrödinger equation within a hybrid transform	4
A novel computational approach to the local fractional Lonngren wave equation in fractal media	4
Space-time pseudospectral method for the variable-order space-time fractional diffusion equation	4
Eigenvalues and eigenfunctions of fourth-order sturm-liouville problems using Bernoulli series with Chebychev collocation points	4
Strong and pure fixed point properties of mappings on normed spaces	3
A generalized Gegenbauer wavelet collocation method for solving p-type fractional neutral delay differential and delay partial differential equations	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
The maximal positive definite solution of the nonlinear matrix equation $$X + A^{}X^{-1}A+B^{}X^{-1}B = I $$	3
Some fixed point results of $$(\phi , \psi ,\theta )$$-contractive mappings in ordered b-metric spaces	3
Numerical investigation of the two-dimensional space-time fractional diffusion equation in porous media	3
A note on linear non-Newtonian Volterra integral equations	3
Approximation of fixed points for a class of mappings satisfying property (CSC) in Banach spaces	3
Reproducing kernel method to solve non-local fractional boundary value problem	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
Optimal control of time-fractional convection–diffusion–reaction problem employing compact integrated RBF method	2
Structures of exact solutions for the modified nonlinear Schrödinger equation in the sense of conformable fractional derivative	2
Computational algorithm for financial mathematical model based on European option	2
Hahn wavelets collocation method combined with Laplace transform method for solving fractional integro-differential 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
A numerical method to solve fractional pantograph differential equations with residual error analysis	2
A modified semi-oriented radial measure to deal with negative and stochastic data: an application in banking industry	2
On establishing qualitative theory to nonlinear boundary value problem of fractional differential equations	2

Asymptotic expansions for certain exponential-type operators connected with $$2x^{3/2}$$	2
Fourth-order cubic B-spline collocation method for hyperbolic telegraph equation	2
Taylor wavelets collocation technique for solving fractional nonlinear singular PDEs	2
Modeling and simulation studies for some truncated discrete distributions generated by stable densities	2
A new numerical strategy for solving nonlinear singular Emden-Fowler delay differential models with variable order	2
A new adaptive Levenberg–Marquardt parameter with a nonmonotone and trust region strategies for the system of nonlinear equations	2
Numerical solution by quintic B-spline collocation finite element method of generalized Rosenau–Kawahara equation	2
A Legendre-spectral method for Hadamard fractional partial differential equations	2
Keyfitz entropy: investigating some mathematical properties and its application for estimating survival function in life table	2
Gaussian radial basis function and quadrature Sinc method for two-dimensional space-fractional diffusion equations	2
Mean-square convergence analysis of the semi-implicit scheme for stochastic differential equations driven by the Wiener processes	2
Bi-additive $$\sigma$$-random operator inequalities and random quasi-$$*$$-multipliers on MB-algebras	2
Application of finite difference method in solving a second- and fourth-order PDE blending denoising model	2
Solvability of some fractional differential equations in the Hölder space $${\mathcal {H}}_{\gamma }(\mathbb {R_+})$$ and their numerical treatment via measures of noncompactness	2
Filter design based on the fractional Fourier transform associated with new convolutions and correlations	2
Solving Dirichlet boundary problems for ODEs via swarm intelligence	2
Fuzzy fixed point results via simulation functions	2
New strategic method for fractional mitigating internet bottleneck with quadratic–cubic nonlinearity	2
Finite-time stability in measure for nabla uncertain discrete linear fractional order systems	2
Compact operators on spaces of binomial fractional difference sequences	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