New Stability Results for Partial Fractional Differential Inclusions with Not Instantaneous Impulses-Reference-Cited by-同舟云学术

New Stability Results for Partial Fractional Differential Inclusions with Not Instantaneous Impulses

Published:2015-02-10 Issue:1 Volume:18 Page:172-191
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Abbas Saïd¹,Benchohra Mouffak²³,Darwish Mohamed Abdalla⁴⁵

Affiliation:

1. Laboratory of Mathematics, University of Saïda P. O. Box 138, 20000 Saïda, ALGERIA

2. Laboratoire de Mathématiques, Université de Sidi Bel-Abbés B. P. 89, 22000, Sidi Bel-Abbés, ALGERIA

3. Department of Mathematics, Faculty of Science King Abdulaziz University P. O. Box 80203, Jeddah 21589, SAUDI ARABIA

4. Department of Mathematics, Sciences Faculty for Girls King Abdulaziz University, Jeddah, SAUDI ARABIA

5. Department of Mathematics, Faculty of Science Damanhour University, Damanhour, EGYPT

Abstract

Abstract In this work, we discuss the existence and Ulam's type stability concepts for a class of partial functional differential inclusions with not instantaneous impulses and a nonconvex valued right hand side in Banach spaces. An example is also provided to illustrate our results.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2015-0012/pdf

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1. References;Fractional Difference, Differential Equations, and Inclusions;2024

2. Impulsive fractional difference equations;Fractional Difference, Differential Equations, and Inclusions;2024

3. Introduction;Fractional Difference, Differential Equations, and Inclusions;2024

4. A new method for searching the integral solution of system of Riemann–Liouville fractional differential equations with non-instantaneous impulses;Journal of Computational and Applied Mathematics;2021-05

5. Controllability of fractional noninstantaneous impulsive integrodifferential stochastic delay system;IMA Journal of Mathematical Control and Information;2021-03-11