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Volume 33, Issue 1
Analysis of Formal and Analytic Solutions for Singularities of the Vector Fractional Differential Equations

A. Babakhani

DOI: 10.4208/ata.2017.v33.n1.6

Anal. Theory Appl., 33 (2017), pp. 59-73.

Published online: 2017-01

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  • 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.

  • Keywords

Fractional differential equations, formal power series solution.

  • AMS Subject Headings

26A33, 34B18, 34A08

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-33-59, author = {A. Babakhani}, title = {Analysis of Formal and Analytic Solutions for Singularities of the Vector Fractional Differential Equations}, journal = {Analysis in Theory and Applications}, year = {2017}, volume = {33}, number = {1}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2017.v33.n1.6}, url = {http://global-sci.org/intro/article_detail/ata/4616.html} }
TY - JOUR T1 - Analysis of Formal and Analytic Solutions for Singularities of the Vector Fractional Differential Equations AU - A. Babakhani JO - Analysis in Theory and Applications VL - 1 SP - 59 EP - 73 PY - 2017 DA - 2017/01 SN - 33 DO - http://doi.org/10.4208/ata.2017.v33.n1.6 UR - https://global-sci.org/intro/article_detail/ata/4616.html KW - Fractional differential equations, formal power series solution. AB -

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.

A. Babakhani. (2017). Analysis of Formal and Analytic Solutions for Singularities of the Vector Fractional Differential Equations. Analysis in Theory and Applications. 33 (1). 59-73. doi:10.4208/ata.2017.v33.n1.6
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