The continuation of solutions to systems of Caputo fractional order differential equations-Reference-Cited by-同舟云学术

The continuation of solutions to systems of Caputo fractional order differential equations

Published:2020-04-01 Issue:2 Volume:23 Page:591-599
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Wu Cong¹,Liu Xinzhi²

Affiliation:

1. Institute of Nuclear Physics and Chemistry , China Academy of Engineering Physics , Mianyang , 621900 , China

2. Dept. of Applied Mathematics , University of Waterloo , Waterloo , N2L 3G1 , Canada

Abstract

Abstract In this paper, we study the continuation of solutions to systems of Caputo fractional order differential equations. The continuation is constructed and proven by using the Schauder Fixed Point Theorem. As a necessary prerequisite to the continuation, the existence and uniqueness results generalized for systems are also reviewed.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2020-0029/pdf

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5. Y. Li, Y.Q. Chen, I. Podlubny, Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-leffler stability. Comput. Math. Appl. 59, No 5 (2010), 1810–1821.

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