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A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam-Hyers type

In this research work, a newly-proposed multiterm hybrid multi-order fractional boundary value problem is studied. The existence results for the supposed hybrid fractional differential equation that involves Riemann-Liouville fractional derivatives and integrals of multi-orders type are derived usin...

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Main Authors: Nouara, Ahmed, Amara, Abdelkader, Kaslik, Eva, Etemad, Sina, Rezapour, Shahram, Martinez, Francisco, Kaabar, Mohammed K. A.
Format: Article
Published: Springer 2021
Subjects:
Q Science (General)
QA Mathematics
Online Access:http://eprints.um.edu.my/28590/
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spelling my.um.eprints.285902022-08-16T08:23:25Z http://eprints.um.edu.my/28590/ A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam-Hyers type Nouara, Ahmed Amara, Abdelkader Kaslik, Eva Etemad, Sina Rezapour, Shahram Martinez, Francisco Kaabar, Mohammed K. A. Q Science (General) QA Mathematics In this research work, a newly-proposed multiterm hybrid multi-order fractional boundary value problem is studied. The existence results for the supposed hybrid fractional differential equation that involves Riemann-Liouville fractional derivatives and integrals of multi-orders type are derived using Dhage's technique, which deals with a composition of three operators. After that, its stability analysis of Ulam-Hyers type and the relevant generalizations are checked. Some illustrative numerical examples are provided at the end to illustrate and validate our obtained results. Springer 2021-07-21 Article PeerReviewed Nouara, Ahmed and Amara, Abdelkader and Kaslik, Eva and Etemad, Sina and Rezapour, Shahram and Martinez, Francisco and Kaabar, Mohammed K. A. (2021) A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam-Hyers type. Advances in Difference Equations, 2021 (1). ISSN 1687-1847, DOI https://doi.org/10.1186/s13662-021-03502-w <https://doi.org/10.1186/s13662-021-03502-w>. 10.1186/s13662-021-03502-w
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic Q Science (General)
QA Mathematics
spellingShingle Q Science (General)
QA Mathematics
Nouara, Ahmed
Amara, Abdelkader
Kaslik, Eva
Etemad, Sina
Rezapour, Shahram
Martinez, Francisco
Kaabar, Mohammed K. A.
A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam-Hyers type
description In this research work, a newly-proposed multiterm hybrid multi-order fractional boundary value problem is studied. The existence results for the supposed hybrid fractional differential equation that involves Riemann-Liouville fractional derivatives and integrals of multi-orders type are derived using Dhage's technique, which deals with a composition of three operators. After that, its stability analysis of Ulam-Hyers type and the relevant generalizations are checked. Some illustrative numerical examples are provided at the end to illustrate and validate our obtained results.
format Article
author Nouara, Ahmed
Amara, Abdelkader
Kaslik, Eva
Etemad, Sina
Rezapour, Shahram
Martinez, Francisco
Kaabar, Mohammed K. A.
author_facet Nouara, Ahmed
Amara, Abdelkader
Kaslik, Eva
Etemad, Sina
Rezapour, Shahram
Martinez, Francisco
Kaabar, Mohammed K. A.
author_sort Nouara, Ahmed
title A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam-Hyers type
title_short A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam-Hyers type
title_full A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam-Hyers type
title_fullStr A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam-Hyers type
title_full_unstemmed A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam-Hyers type
title_sort study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of ulam-hyers type
publisher Springer
publishDate 2021
url http://eprints.um.edu.my/28590/
_version_ 1744649128073232384
score 13.18916

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