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Existence of mild solution for evolution equation with Hilfer fractional derivative

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  • Gu, Haibo
  • Trujillo, Juan J.

Abstract

The paper is concerned with existence of mild solution of evolution equation with Hilfer fractional derivative which generalized the famous Riemann–Liouville fractional derivative. By noncompact measure method, we obtain some sufficient conditions to ensure the existence of mild solution. Our results are new and more general to known results.

Suggested Citation

  • Gu, Haibo & Trujillo, Juan J., 2015. "Existence of mild solution for evolution equation with Hilfer fractional derivative," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 344-354.
    • Handle: RePEc:eee:apmaco:v:257:y:2015:i:c:p:344-354
    DOI: 10.1016/j.amc.2014.10.083
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    References listed on IDEAS

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    1. Yan, Jianping & Li, Changpin, 2007. "On chaos synchronization of fractional differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 725-735.
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