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Correction published on 14 February 2018, see Mathematics 2018, 6(2), 26.

Open AccessArticle
Mathematics 2017, 5(4), 47; doi:10.3390/math5040047

New Analytical Technique for Solving a System of Nonlinear Fractional Partial Differential Equations

1
Department of Mathematics, Savitribai Phule Pune University, Pune 411007, India
2
Department of Applied Mathematics, Virginia Military Institute, Lexington, VA 24450, USA
*
Author to whom correspondence should be addressed.
Academic Editor: Hari Mohan Srivastava
Received: 24 August 2017 / Revised: 19 September 2017 / Accepted: 20 September 2017 / Published: 25 September 2017
(This article belongs to the Special Issue Operators of Fractional Calculus and Their Applications)
View Full-Text   |   Download PDF [1193 KB, uploaded 25 September 2017]   |  

Abstract

This paper introduces a new analytical technique (NAT) for solving a system of nonlinear fractional partial differential equations (NFPDEs) in full general set. Moreover, the convergence and error analysis of the proposed technique is shown. The approximate solutions for a system of NFPDEs are easily obtained by means of Caputo fractional partial derivatives based on the properties of fractional calculus. However, analytical and numerical traveling wave solutions for some systems of nonlinear wave equations are successfully obtained to confirm the accuracy and efficiency of the proposed technique. Several numerical results are presented in the format of tables and graphs to make a comparison with results previously obtained by other well-known methods. View Full-Text
Keywords: system of nonlinear fractional partial differential equations (NFPDEs); systems of nonlinear wave equations; new analytical technique (NAT); existence theorem; error analysis; approximate solution system of nonlinear fractional partial differential equations (NFPDEs); systems of nonlinear wave equations; new analytical technique (NAT); existence theorem; error analysis; approximate solution
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Thabet, H.; Kendre, S.; Chalishajar, D. New Analytical Technique for Solving a System of Nonlinear Fractional Partial Differential Equations. Mathematics 2017, 5, 47.

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