Analysis of a nonlinear problem involving discrete and proportional delay with application to Houseflies model-Reference-Cited by-同舟云学术

Analysis of a nonlinear problem involving discrete and proportional delay with application to Houseflies model

Published:2024 Issue:3 Volume:9 Page:7321-7339
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Shah Kamal¹²,Sher Muhammad²,Sarwar Muhammad¹²,Abdeljawad Thabet¹³⁴⁵

Affiliation:

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

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

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

4. Department of Mathematics Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Korea

5. Department of Mathematics and Applied Mathematics School of Science and Technology, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

Abstract

<abstract><p>This manuscript established a comprehensive analysis of a general class of fractional order delay differential equations with Caputo-Fabrizio fractional derivative (CFFD). Functional analysis was used to examine the existence and uniqueness of the suggested class and to generate sufficient requirements for Ulam-Hyers (UH) type stability. Further, a numerical method based on Lagrange interpolation is used to compute approximate solution. Then, some applications in physical dynamics including a houseflies model and a Cauchy type problem were discussed to illustrate the established analysis with graphical illustrations.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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