0
Research Papers

Solving Nonlinear Fractional Integro-Differential Equations of Volterra Type Using Novel Mathematical Matrices

[+] Author and Article Information
Farshid Mirzaee

Department of Mathematics,
Faculty of Science,
Malayer University,
Malayer 65719-95863, Iran
e-mail: f.mirzaee@malayeru.ac.ir

Saeed Bimesl

Department of Mathematics,
Faculty of Science,
Malayer University,
Malayer 65719-95863, Iran
e-mail: saeed.bimesl@stu.malayeru.ac.ir

Emran Tohidi

Young Researchers and Elite Club,
Mashhad Branch,
Islamic Azad University,
Mashhad, Iran
e-mail: emrantohidi@gmail.com

1Corresponding author.

Manuscript received July 26, 2014; final manuscript received November 27, 2014; published online April 9, 2015. Assoc. Editor: J. A. Tenreiro Machado.

J. Comput. Nonlinear Dynam 10(6), 061016 (Nov 01, 2015) (6 pages) Paper No: CND-14-1174; doi: 10.1115/1.4029281 History: Received July 26, 2014; Revised November 27, 2014; Online April 09, 2015

In this paper, the operational matrix of Euler functions for fractional derivative of order β in 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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2015 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Fig. 1

The plot of approximate solutions (example 1)

Grahic Jump Location
Fig. 2

The plot of exact and approximate solution for N = 10 (example 3)

Grahic Jump Location
Fig. 3

The plot of error function |e10(x)| (example 3)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In