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

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  • Ge, Fudong
  • Kou, Chunhai

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.

Suggested Citation

  • Ge, Fudong & Kou, Chunhai, 2015. "Stability analysis by Krasnoselskii’s fixed point theorem for nonlinear fractional differential equations," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 308-316.
    • Handle: RePEc:eee:apmaco:v:257:y:2015:i:c:p:308-316
    DOI: 10.1016/j.amc.2014.11.109
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    Cited by:

    1. Liu, Xiping & Jia, Mei, 2019. "Solvability and numerical simulations for BVPs of fractional coupled systems involving left and right fractional derivatives," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 230-242.
    2. Tamilalagan, P. & Balasubramaniam, P., 2017. "Moment stability via resolvent operators of fractional stochastic differential inclusions driven by fractional Brownian motion," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 299-307.
    3. Zhang, Shuo & Liu, Lu & Xue, Dingyu, 2020. "Nyquist-based stability analysis of non-commensurate fractional-order delay systems," Applied Mathematics and Computation, Elsevier, vol. 377(C).

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