Solving delay integro-differential inclusions with applications-Reference-Cited by-同舟云学术

Solving delay integro-differential inclusions with applications

Published:2024 Issue:6 Volume:9 Page:16313-16334
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Alshehri Maryam G.¹,Aydi Hassen²³,Hammad Hasanen A.⁴⁵⁶

Affiliation:

1. Department of Mathematics, Faculty of Science, University of Tabuk, P. O. Box741, Tabuk 71491, Saudi Arabia

2. Institut Supérieur d'Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia

3. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

4. Department of Mathematics, College of Science, Qassim University, Buraydah 52571, Saudi Arabia

5. Department of Mathematics, Saveetha School of Engineering, SIMATS, Saveetha University, Chennai 602105, India

6. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

Abstract

<abstract><p>This work primarily delves into three key areas: the presence of mild solutions, exploration of the topological and geometrical makeup of solution sets, and the continuous dependency of solutions on a second-order semilinear integro-differential inclusion. The Bohnenblust-Karlin fixed-point method has been integrated with Grimmer's theory of resolvent operators. Ultimately, the study delves into a mild solution for a partial integro-differential inclusion to showcase the achieved outcomes.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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