Existence of mild solutions to Hilfer fractional evolution equations in Banach space

J. Vanterler da C. Sousa; Fahd Jarad; Thabet Abdeljawad

doi:10.1007/s43034-020-00095-5

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$Existence of mild solutions to Hilfer fractional evolution equations in Banach space$

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Existence of mild solutions to Hilfer fractional evolution equations in Banach space

J. Vanterler da C. Sousa, Fahd Jarad and Thabet Abdeljawad

Annals of functional analysis, Vol.12(1)

2021

DOI: https://doi.org/10.1007/s43034-020-00095-5

Abstract

Functional Analysis

Mathematics

Mathematics and Statistics

Original Paper

In this paper, we investigate the existence of mild solutions to semilinear evolution fractional differential equations with non-instantaneous impulses, using the concepts of equicontinuous ( α , β ) -resolvent operator function P α , β ( t ) and Kuratowski measure of non-compactness in Banach space Ω .

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Title: Existence of mild solutions to Hilfer fractional evolution equations in Banach space
Creators - without role: J. Vanterler da C. Sousa - Universidade Estadual de Campinas (UNICAMP)
Fahd Jarad - Çankaya University
Thabet Abdeljawad - Prince Sultan University
Publication Details: Annals of functional analysis, Vol.12(1)
Publisher: Springer International Publishing
Grant note: no88882.305834/2018-01 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (BR)
Identifiers: 9926973908331
Academic Unit: Prince Sultan University
Language: English
Resource Type: Journal article