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Farshid Mirzaee

Farshid Mirzaee

Academic rank: Professor
ORCID: 0000-0002-1429-2548
Education: PhD.
ScopusId: 6508385954
HIndex: 34/00
Faculty: Mathematical Sciences and Statistics
Address: Faculty of Mathematical Sciences and Statistics, Department of Applied Mathematics, Malayer University, 4 Km Malayer-Arak Road, P. O. Box 65719-95863, Malayer, Iran.
Phone: +98 - 81 - 32457459

Research

Title
Solving nonlinear fractional integro-differential equations of Volterra type using novel mathematical matrices
Type
JournalPaper
Keywords
Caputo sense, General order, Euler series, Differential equation, Nonlinear analysis
Year
2015
Journal Journal of Computational and Nonlinear Dynamics
DOI
Researchers Farshid Mirzaee

Abstract

In this paper, the operational matrix of Euler functions for fractional derivative of order bin the Caputo sense is derived. Via this matrix, we develop an efficient collocation method for solving nonlinear fractional Volterra integro-differential equations. Illustrative examples are given to demonstrate the validity and applicability of the proposed method, and the comparisons are made with the existing results.[