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Approximate controllability for a class of stochastic impulsive evolution system with infinite delay involving the fractional substantial derivative

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  • Chen, Weihao
  • Liu, Yansheng
  • Zhao, Daliang

Abstract

This paper is concerned with a class of stochastic impulsive evolution system with the fractional substantial derivative of the order α∈(1,2). We introduce the fractional substantial derivative in the study of stochastic impulsive evolution system with infinite delay for the first time. Then the existence of mild solution for such system is investigated. In addition, the controllability results are obtained via the measure of noncompactness, Mo.nch fixed point theorem and stochastic analysis theory. Finally, examples are worked out to illustrate the main results.

Suggested Citation

  • Chen, Weihao & Liu, Yansheng & Zhao, Daliang, 2024. "Approximate controllability for a class of stochastic impulsive evolution system with infinite delay involving the fractional substantial derivative," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    • Handle: RePEc:eee:chsofr:v:182:y:2024:i:c:s0960077924004296
    DOI: 10.1016/j.chaos.2024.114877
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    References listed on IDEAS

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