Hilfer-type fractional differential switched inclusions with noninstantaneous impulsive and nonlocal conditions

In this paper, we study a new class of nonlocal problems for noninstantaneous impulsive Hilfer-type fractional differential switched inclusions in Banach spaces. First, we introduce a mild solution formula for this noninstantaneous impulsive inclusion problem. Second, we show the existence of mild s...

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Published inNonlinear analysis (Vilnius, Lithuania) Vol. 23; no. 6; pp. 921 - 941
Main Authors Wang, JinRong, Ibrahim, Ahmed Gamal Gamal, O’Regan, Donal
Format Journal Article
LanguageEnglish
Published Vilnius University Press 01.01.2018
Subjects
existence
Hilfer fractional switched differential inclusions
noninstantaneous impulsive conditions
nonlocal conditions
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Summary:In this paper, we study a new class of nonlocal problems for noninstantaneous impulsive Hilfer-type fractional differential switched inclusions in Banach spaces. First, we introduce a mild solution formula for this noninstantaneous impulsive inclusion problem. Second, we show the existence of mild solutions using the Hausdorff measure of noncompactness on the space of piecewise weighted continuous functions. Finally, an example is provided to illustrate the theory.
ISSN:1392-5113
2335-8963
DOI:10.15388/NA.2018.6.7