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International Journal of Nonlinear Sciences and Numerical Simulation

Editor-in-Chief: Birnir, Björn

Editorial Board: Armbruster, Dieter / Bessaih, Hakima / Chou, Tom / Grauer, Rainer / Marzocchella, Antonio / Rangarajan, Govindan / Trivisa, Konstantina / Weikard, Rudi

8 Issues per year


IMPACT FACTOR 2017: 1.162

CiteScore 2017: 1.41

SCImago Journal Rank (SJR) 2017: 0.382
Source Normalized Impact per Paper (SNIP) 2017: 0.636

Mathematical Citation Quotient (MCQ) 2017: 0.12

Online
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2191-0294
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Volume 19, Issue 6

Issues

Hybrid Method for Solution of Fractional Order Linear Differential Equation with Variable Coefficients

Amit Ujlayan / Ajay Dixit
Published Online: 2018-07-24 | DOI: https://doi.org/10.1515/ijnsns-2017-0167

Abstract

In this paper, we proposed a new analytical hybrid methods for the solution of conformable fractional differential equations (CFDE), which are based on the recently proposed conformable fractional derivative (CFD) in R. Khalil, M. Al Horani, A. Yusuf and M. Sababhed, A New definition of fractional derivative, J. Comput. Appl. 264 (2014). Moreover, we use the method of variation of parameters and reduction of order based on CFD, for the CFDE. Furthermore, to show the efficiency of the proposed analytical hybrid method, some examples are also presented.

Keywords: fractional derivative; conformable fractional derivative; method of variation of parameters; method of reduction of order

MSC 2010: 34A08; 26A33

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About the article

Received: 2017-08-06

Accepted: 2018-05-20

Published Online: 2018-07-24

Published in Print: 2018-09-25


Citation Information: International Journal of Nonlinear Sciences and Numerical Simulation, Volume 19, Issue 6, Pages 621–626, ISSN (Online) 2191-0294, ISSN (Print) 1565-1339, DOI: https://doi.org/10.1515/ijnsns-2017-0167.

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