Existence and attractivity results for fractional differential  inclusions via nocompactness measures

Said Baghdad

doi:10.3390/IOCMA2023-14383

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Existence and attractivity results for fractional differential inclusions via nocompactness measures

Said Baghdad

¹ Ibn khaldoun university of Tiaret, Algeria Laboratory of geometry, analysis, control and applications, university of Saida Dr. Moulay Tahar, Algeria

Academic Editor: Alberto Cabada

Published: 28 April 2023 by MDPI in The 1st International Online Conference on Mathematics and Applications session Difference and Differential Equations

https://doi.org/10.3390/IOCMA2023-14383

Abstract:

In this paper, we use the concept of measure of nocompactness and fixed point theorems to investigate the existence and stability of solutions of a class of Hadamard-Stieltjes fractional differential inclusion in an appropriate Banach space, these results are proven under sufficient hypotheses. We also give an example to illustrate the obtained results.

Keywords: Hadamard-Stieltjes differential inclusions, fixed point theorems , nocompactness measures , Asymptotic behavior.

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