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Existence and Uniqueness of Positive Solutions for a Fractional Switched System

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  • Zhi-Wei Lv
  • Bao-Feng Chen

Abstract

We discuss the existence and uniqueness of positive solutions for the following fractional switched system: ( ); , where is the Caputo fractional derivative with , is a piecewise constant function depending on , and , ], . Our results are based on a fixed point theorem of a sum operator and contraction mapping principle. Furthermore, two examples are also given to illustrate the results.

Suggested Citation

  • Zhi-Wei Lv & Bao-Feng Chen, 2014. "Existence and Uniqueness of Positive Solutions for a Fractional Switched System," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, April.
    • Handle: RePEc:hin:jnlaaa:828721
    DOI: 10.1155/2014/828721
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    Cited by:

    1. Selvaraj Suganya & Mani Mallika Arjunan, 2017. "Existence of Mild Solutions for Impulsive Fractional Integro-Differential Inclusions with State-Dependent Delay," Mathematics, MDPI, vol. 5(1), pages 1-16, January.
    2. Shu, Yadong & Li, Bo, 2022. "Existence and uniqueness of solutions to uncertain fractional switched systems with an uncertain stock model," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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