You are in:Home/Publications/New Operational Matrix for Solving Multi-Term Variable Order Fractional Differential Equations

Dr. Abdelhameed Mohamed Abdelhameed Nagy :: Publications:

Title:
New Operational Matrix for Solving Multi-Term Variable Order Fractional Differential Equations
Authors: A. M. Nagy; N. H. Sweilam; Adel A. El-Sayed
Year: 2017
Keywords: Not Available
Journal: Journal of Computational and Nonlinear Dynamics
Volume: 13
Issue: 1
Pages: 7
Publisher: Not Available
Local/International: International
Paper Link: Not Available
Full paper Not Available
Supplementary materials Not Available
Abstract:

The multiterm fractional variable-order differential equation has a massive application in physics and engineering problems. Therefore, a numerical method is presented to solve a class of variable order fractional differential equations (FDEs) based on an operational matrix of shifted Chebyshev polynomials of the fourth kind. Utilizing the constructed operational matrix, the fundamental problem is reduced to an algebraic system of equations which can be solved numerically. The error estimate of the proposed method is studied. Finally, the accuracy, applicability, and validity of the suggested method are illustrated through several examples.

Google ScholarAcdemia.eduResearch GateLinkedinFacebookTwitterGoogle PlusYoutubeWordpressInstagramMendeleyZoteroEvernoteORCIDScopus