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Shahrokh Esmaeili

Shahrokh Esmaeili

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId: 15834719000
Faculty: Faculty of Science
Address: Department of Mathematics University of Kurdistan
Phone: 08733624133

Research

Title
Numerical solution of fractional differential equations via a Volterra integral equation approach
Type
JournalPaper
Keywords
fractional calculus, fractional differential equations, Volterra integral equation, quadrature formulae
Year
2013
Journal Central European Journal of Physics
DOI
Researchers Shahrokh Esmaeili ، Mostafa Shamsi ، Mehdi Dehghan

Abstract

The main focus of this paper is to present a numerical method for the solution of fractional differential equations. In this method, the properties of the Caputo derivative are used to reduce the given fractional differential equation into a Volterra integral equation. The entire domain is divided into several small domains, and by collocating the integral equation at two adjacent points a system of two algebraic equations in two unknowns is obtained. The method is applied to solve linear and nonlinear fractional differential equations. Also the error analysis is presented. Some examples are given and the numerical simulations are also provided to illustrate the effectiveness of the new method