Existence of Hilfer Fractional Evolution Inclusions with Almost Sectorial Operators

Mian Zhou and Yong Zhou ()
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Mian Zhou: Faculty of Innovation Engineering, Macau University of Science and Technology, Macau 999078, China
Yong Zhou: Faculty of Innovation Engineering, Macau University of Science and Technology, Macau 999078, China

Mathematics, 2025, vol. 13, issue 9, 1-17

Abstract: In this paper, we mainly focus on the the existence of Hilfer fractional evolution inclusions with almost sectorial operators. For two cases in which the almost sector operators are compact and noncompact, we obtain existence criteria for mild solutions, which extend and improve some related results in the literature.

Keywords: fractional evolution inclusions; almost sectorial operators; fixed point theorem; measure of noncompactness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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