Stability analysis by Krasnoselskii’s fixed point theorem for nonlinear fractional differential equations

Fudong Ge and Chunhai Kou

Applied Mathematics and Computation, 2015, vol. 257, issue C, 308-316

Abstract: This paper is concerned with the stability analysis of nonlinear fractional differential equations of order α(1<α<2). Our main results are obtained by using Krasnoselskii’s fixed point theorem in a weighted Banach space. An example and its corresponding simulation are presented to illustrate the main results.

Keywords: Nonlinear fractional differential equations; Fractional integral perturbation; Krasnoselskii’s fixed point theorem; Stability analysis (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:308-316

DOI: 10.1016/j.amc.2014.11.109

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