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Hilfer-type fractional differential switched inclusions with noninstantaneous impulsive and nonlocal conditions
Journal article   Open access  Peer reviewed

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

JinRong Wang, Ahmed Gamal Ibrahim and Donal O'Regan
Nonlinear analysis (Vilnius, Lithuania), Vol.23(6), pp.921-941
01/12/2018

Abstract

Mathematics Mathematics, Applied Mathematics, Interdisciplinary Applications Mechanics Physical Sciences Science & Technology Technology
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.
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https://doi.org/10.15388/NA.2018.6.7View
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