Utilizing fixed point approach to investigate piecewise equations with non-singular type derivative-Reference-Cited by-同舟云学术

Utilizing fixed point approach to investigate piecewise equations with non-singular type derivative

Published:2022 Issue:8 Volume:7 Page:14614-14630
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Shah Kamal¹²,Abdeljawad Thabet¹³,Abdalla Bahaaeldin¹,Abualrub Marwan S⁴

Affiliation:

1. Department of Mathematics and Sciences, Prince Sultan University, P.O.Box.11586, Riyadh, Saudi Arabia

2. Department of Mathematics, University of Malakand, Chakdara Dir(L), P.O.Box. 18000, Khyber Pakhtunkhwa, Pakistan

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

4. Mathematics Department (Prep. Program), Faculty of Science, Khalifa University, P. O. Box 127788, Abu Dhabi UAE

Abstract

<abstract><p>In this research work, we establish some new results about piecewise equation involving Caputo Fabrizio derivative (CFD). The concerned class has been recently introduced and these results are fundamental for investigation of qualitative theory and numerical interpretation. We derive some necessary results for the existence, uniqueness and various form of Hyers-Ulam (H-U) type stability for the considered problem. For the required results, we need to utilize usual classical fixed point theorems due to Banach and Krasnoselskii's. Moreover, results devoted to H-U stability are derived by using classical tools of nonlinear functional analysis. Some pertinent test problems are given to demonstrate our results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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