IJPAM: Volume 106, No. 3 (2016)
NON-LINEAR FRACTIONAL DIFFERENTIAL EQUATIONS




Hashemite University
Zarqa, JORDAN

Al-Albayt University
Mafraq, JORDAN
Abstract. In this paper, a new numerical technique to solve linear and nonlinear fractional differential equations of order in sense of Caputo's definition is proposed. The efficiency of this technique will be illustrated by solving several examples of linear and nonlinear fractional differential equations of order
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Received: October 28, 2015
AMS Subject Classification: 65D25
Key Words and Phrases: finite difference formulas, composite trapezoidal rule, numerical solutions, linear fractional differential equation, nonlinear fractional differential equation
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DOI: 10.12732/ijpam.v106i3.12 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 3
Pages: 859 - 871
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This work is licensed under the Creative Commons Attribution International License (CC BY).