Infinite Interval Problems for Fractional Evolution Equations

Yong Zhou
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Yong Zhou: Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China

Mathematics, 2022, vol. 10, issue 6, 1-13

Abstract: In this paper, we investigate infinite interval problems for the fractional evolution equations with Hilfer fractional derivative. By using the generalized Ascoli–Arzelà theorem and some new techniques, we prove the existence of mild solutions of Hilfer fractional evolution equations when the semigroup is compact as well as noncompact. In addition, an example is provided to illustrate the results.

Keywords: fractional evolution equations; Hilfer derivative; existence; infinite interval (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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