Optical applications of a generalized fractional integro-differential equation with periodicity-Reference-Cited by-同舟云学术

Optical applications of a generalized fractional integro-differential equation with periodicity

Published:2023 Issue:5 Volume:8 Page:11953-11972
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Baleanu Dumitru¹²³,Ibrahim Rabha W.⁴⁵⁶

Affiliation:

1. Department of Mathematics, Cankaya University, 06530 Balgat, Ankara, Turkey

2. Institute of Space Sciences, R76900 Magurele-Bucharest, Romania

3. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

4. Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia /Mersin 10 - Turkey

5. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

6. Information and Communication Technology Research Group, Scientific Research Center, Al-Ayen University, Thi-Qar, Iraq

Abstract

<abstract><p>Impulsive is the affinity to do something without thinking. In this effort, we model a mathematical formula types integro-differential equation (I-DE) to describe this behavior. We investigate periodic boundary value issues in Banach spaces for fractional a class of I-DEs with non-quick impulses. We provide numerous sufficient conditions of the existence of mild outcomes for I-DE utilizing the measure of non-compactness, the method of resolving domestic, and the fixed point result. Lastly, we illustrate a set of examples, which is given to demonstrate the investigations key findings. Our findings are generated some recent works in this direction.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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