Hilfer-type fractional differential switched inclusions with noninstantaneous impulsive and nonlocal conditions-Reference-Cited by-同舟云学术

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

Published:2018-11-21 Issue:6 Volume:23 Page:921-941
ISSN:1392-5113
Container-title:Nonlinear Analysis: Modelling and Control
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Author:

Wang JinRong¹,Ibrahim Ahmed Gamal²,O’Regan Donal³

Affiliation:

1. Department of Mathematics, Guizhou University, China; School of Mathematical Sciences, Qufu Normal University, China

2. Department of Mathematics, Faculty of Science, King Faisal University, Saudi Arabia

3. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Ireland

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.

Publisher

Vilnius University Press

Subject

Applied Mathematics,Analysis

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