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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Xu, Xiaobo
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