Hilfer-type fractional differential switched inclusions with noninstantaneous impulsive and nonlocal conditions
Articles
JinRong Wang
Guizhou University; Qufu Normal University
Ahmed Gamal Gamal Ibrahim
King Faisal University, Saudi Arabia
Donal O’Regan
National University of Ireland
Published 2018-12-20
https://doi.org/10.15388/NA.2018.6.7
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Keywords

Hilfer fractional switched differential inclusions
noninstantaneous impulsive conditions
nonlocal conditions
existence

How to Cite

Wang, J., Ibrahim, A.G.G. and O’Regan, D. (2018) “Hilfer-type fractional differential switched inclusions with noninstantaneous impulsive and nonlocal conditions”, Nonlinear Analysis: Modelling and Control, 23(6), pp. 921–941. doi:10.15388/NA.2018.6.7.

Abstract

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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