Analysis of Formal and Analytic Solutions for Singularities of the Vector Fractional Differential Equations

Analysis of Formal and Analytic Solutions for Singularities of the Vector Fractional Differential Equations

Year:    2017

Analysis in Theory and Applications, Vol. 33 (2017), Iss. 1 : pp. 59–73

Abstract

In this article, we study on the existence of solution for a singularities of a system of nonlinear fractional  differential equations (FDE). We construct a formal power series solution for our considering FDE and prove convergence of formal solutions under conditions. We use the Caputo fractional differential operator and the nonlinearity depends on the fractional derivative of an unknown function.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2017.v33.n1.6

Analysis in Theory and Applications, Vol. 33 (2017), Iss. 1 : pp. 59–73

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Fractional differential equations formal power series solution.

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