Existence of mild solution for evolution equation with Hilfer fractional derivative

Haibo Gu and Juan J. Trujillo

Applied Mathematics and Computation, 2015, vol. 257, issue C, 344-354

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.

Keywords: Evolution equation; Hilfer fractional derivative; Mild solution; Noncompact measure (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (21)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:344-354

DOI: 10.1016/j.amc.2014.10.083

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