A new formulation of finite difference and finite volume methods for solving a space fractional convection–diffusion model with fewer error estimates

Fuzzy fractional differential equations under the Mittag-Leffler kernel differential operator of the ABC approach: Theorems and applications

(2021) Mohammed Al-Smadi et al.   CHAOS SOLITONS & FRACTALS

An attractive numerical algorithm for solving nonlinear Caputo–Fabrizio fractional Abel differential equation in a Hilbert space

(2021) Mohammed Al-Smadi et al.   Advances in Difference Equations

Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method

(2021) Shaher Momani et al.   APPLIED NUMERICAL MATHEMATICS

Numerical solutions of hybrid fuzzy differential equations in a Hilbert space

(2020) G. Gumah et al.   APPLIED NUMERICAL MATHEMATICS

Numerical computations of coupled fractional resonant Schrödinger equations arising in quantum mechanics under conformable fractional derivative sense

(2020) Mohammed Al-Smadi et al.   PHYSICA SCRIPTA

Solving space-fractional Cauchy problem by modified finite-difference discretization scheme

(2020) Omar Abu Arqub et al.   Alexandria Engineering Journal

An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative

(2020) Mohammed Al-Smadi et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

On the solution of a boundary value problem associated with a fractional differential equation

(2020) Rezan Sevinik Adigüzel et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Existence and Ulam stability for impulsive generalized Hilfer-type fractional differential equations

(2020) Abdelkrim Salim et al.   Advances in Difference Equations

Numerical simulation of telegraph and Cattaneo fractional‐type models using adaptive reproducing kernel framework

(2020) Mohammed Al‐Smadi et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Numerical approach in the Hilbert space to solve a fuzzy Atangana-Baleanu fractional hybrid system

(2020) Shatha Hasan et al.   CHAOS SOLITONS & FRACTALS

Solutions of the Nonlinear Integral Equation and Fractional Differential Equation Using the Technique of a Fixed Point with a Numerical Experiment in Extended b-Metric Space

(2019) Thabet Abdeljawad et al.   Symmetry-Basel

A Fixed Point Result with a Contractive Iterate at a Point

(2019) Badr Alqahtani et al.   Mathematics

An adaptive numerical approach for the solutions of fractional advection–diffusion and dispersion equations in singular case under Riesz’s derivative operator

(2019) Omar Abu Arqub et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

A minimax approach for the study of systems of variational equations and related Galerkin schemes

(2018) A.I. Garralda-Guillem et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Solution of fractional differential equations via α−ψ$\alpha-\psi$-Geraghty type mappings

(2018) Hojjat Afshari et al.   Advances in Difference Equations

Application of reproducing kernel Hilbert space method for solving second-order fuzzy Volterra integro-differential equations

(2018) Ghaleb N. Gumah et al.   Advances in Difference Equations

Numerical Multistep Approach for Solving Fractional Partial Differential Equations

(2017) Mohammed Al-Smadi et al.   International Journal of Computational Methods

Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

(2017) Martin Stynes et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations

(2016) Y. Zhao et al.   APPLIED MATHEMATICS LETTERS

A fast finite volume method for conservative space-fractional diffusion equations in convex domains

(2016) Jinhong Jia et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Two Mixed Finite Element Methods for Time-Fractional Diffusion Equations

(2015) Yanmin Zhao et al.   JOURNAL OF SCIENTIFIC COMPUTING

Gegenbauer spectral method for time-fractional convection-diffusion equations with variable coefficients

(2014) Mohammad Mahdi Izadkhah et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

The Sinc–Legendre collocation method for a class of fractional convection–diffusion equations with variable coefficients

(2012) Abbas Saadatmandi et al.   Communications in Nonlinear Science and Numerical Simulation

Wavelet method for a class of fractional convection-diffusion equation with variable coefficients

(2010) Yiming Chen et al.   Journal of Computational Science

Beyond Adomian method: The variational iteration method for solving heat-like and wave-like equations with variable coefficients

(2007) Da-Hua Shou et al.   PHYSICS LETTERS A