A Fractional-Order Sequential Hybrid System with an Application to a Biological System

A Fractional-Order Sequential Hybrid System with an Application to a Biological System

With the help of Banach’s fixed-point approach and the Leray–Schauder alternative theorem, we produced existence results for a general class of fractional differential equations in this paper. The proposed problem is more comprehensive and applicable to real-life situations. As an example of how our...

Full description

Bibliographic Details
Main Authors: Hasib Khan, Hashim M. Alshehri, Zareen A. Khan
Format: Article
Language:English
Published: Hindawi-Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/2018307
id doaj-9cd3a111428941828cc3a6957f684db5
record_format Article
spelling doaj-9cd3a111428941828cc3a6957f684db52021-08-16T00:00:01ZengHindawi-WileyComplexity1099-05262021-01-01202110.1155/2021/2018307A Fractional-Order Sequential Hybrid System with an Application to a Biological SystemHasib Khan0Hashim M. Alshehri1Zareen A. Khan2Department of MathematicsMathematics DepartmentDepartment of Mathematical SciencesWith the help of Banach’s fixed-point approach and the Leray–Schauder alternative theorem, we produced existence results for a general class of fractional differential equations in this paper. The proposed problem is more comprehensive and applicable to real-life situations. As an example of how our problem might be used, we have created a fractional-order COVID-19 model whose solution is guaranteed by our results. We employed a numerical approach to solve the COVID-19 model, and the results were compared for different fractional orders. Our numerical results for fractional orders follow the same pattern as the classical example of order 1, indicating that our numerical scheme is accurate.http://dx.doi.org/10.1155/2021/2018307
collection DOAJ
language English
format Article
sources DOAJ
author Hasib Khan
Hashim M. Alshehri
Zareen A. Khan
spellingShingle Hasib Khan
Hashim M. Alshehri
Zareen A. Khan
A Fractional-Order Sequential Hybrid System with an Application to a Biological System
Complexity
author_facet Hasib Khan
Hashim M. Alshehri
Zareen A. Khan
author_sort Hasib Khan
title A Fractional-Order Sequential Hybrid System with an Application to a Biological System
title_short A Fractional-Order Sequential Hybrid System with an Application to a Biological System
title_full A Fractional-Order Sequential Hybrid System with an Application to a Biological System
title_fullStr A Fractional-Order Sequential Hybrid System with an Application to a Biological System
title_full_unstemmed A Fractional-Order Sequential Hybrid System with an Application to a Biological System
title_sort fractional-order sequential hybrid system with an application to a biological system
publisher Hindawi-Wiley
series Complexity
issn 1099-0526
publishDate 2021-01-01
description With the help of Banach’s fixed-point approach and the Leray–Schauder alternative theorem, we produced existence results for a general class of fractional differential equations in this paper. The proposed problem is more comprehensive and applicable to real-life situations. As an example of how our problem might be used, we have created a fractional-order COVID-19 model whose solution is guaranteed by our results. We employed a numerical approach to solve the COVID-19 model, and the results were compared for different fractional orders. Our numerical results for fractional orders follow the same pattern as the classical example of order 1, indicating that our numerical scheme is accurate.
url http://dx.doi.org/10.1155/2021/2018307
work_keys_str_mv AT hasibkhan afractionalordersequentialhybridsystemwithanapplicationtoabiologicalsystem
AT hashimmalshehri afractionalordersequentialhybridsystemwithanapplicationtoabiologicalsystem
AT zareenakhan afractionalordersequentialhybridsystemwithanapplicationtoabiologicalsystem
AT hasibkhan fractionalordersequentialhybridsystemwithanapplicationtoabiologicalsystem
AT hashimmalshehri fractionalordersequentialhybridsystemwithanapplicationtoabiologicalsystem
AT zareenakhan fractionalordersequentialhybridsystemwithanapplicationtoabiologicalsystem
_version_ 1721206324024311808

Similar Items