Variable-order Implicit Fractional Differential Equations based on the Kuratowski MNC Technique
In this manuscript, we examine the existence and the stability of solutions to the boundary value problem of Riemann-Liouville fractional differential equations of variable order. The obtained new results are based on the fixed-point theorem of Darbo and Kuratowski’s metric of noncompactness (MNK) w...
Saved in:
Main Authors: | , , , , |
---|---|
Format: | Article |
Language: | English English |
Published: |
Institute for Mathematical Research, Universiti Putra Malaysia
2023
|
Subjects: | |
Online Access: | https://eprints.ums.edu.my/id/eprint/38004/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/38004/2/FULL%20TEXT.pdf https://eprints.ums.edu.my/id/eprint/38004/ https://doi.org/10.47836/mjms.17.3.05 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
my.ums.eprints.38004 |
---|---|
record_format |
eprints |
spelling |
my.ums.eprints.380042024-01-26T07:13:42Z https://eprints.ums.edu.my/id/eprint/38004/ Variable-order Implicit Fractional Differential Equations based on the Kuratowski MNC Technique Bouazza, Z Souid, M. S. Che Haziqah Che Hussin Arif Mandangan Sabit, S. Q1-390 Science (General) QA1-43 General In this manuscript, we examine the existence and the stability of solutions to the boundary value problem of Riemann-Liouville fractional differential equations of variable order. The obtained new results are based on the fixed-point theorem of Darbo and Kuratowski’s metric of noncompactness (MNK) with the help of piece-wise constant functions. In addition, the derived fundamental results are proven suitable because they satisfy the Ulam-Hyers Rassias stability sufficient conditions. Several numerical examples were discussed too to demonstrate the reasonableness and effectiveness of the observed results. Institute for Mathematical Research, Universiti Putra Malaysia 2023-09 Article NonPeerReviewed text en https://eprints.ums.edu.my/id/eprint/38004/1/ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/38004/2/FULL%20TEXT.pdf Bouazza, Z and Souid, M. S. and Che Haziqah Che Hussin and Arif Mandangan and Sabit, S. (2023) Variable-order Implicit Fractional Differential Equations based on the Kuratowski MNC Technique. Malaysian Journal of Mathematical Sciences, 17. pp. 305-332. ISSN 1823-8343 https://doi.org/10.47836/mjms.17.3.05 |
institution |
Universiti Malaysia Sabah |
building |
UMS Library |
collection |
Institutional Repository |
continent |
Asia |
country |
Malaysia |
content_provider |
Universiti Malaysia Sabah |
content_source |
UMS Institutional Repository |
url_provider |
http://eprints.ums.edu.my/ |
language |
English English |
topic |
Q1-390 Science (General) QA1-43 General |
spellingShingle |
Q1-390 Science (General) QA1-43 General Bouazza, Z Souid, M. S. Che Haziqah Che Hussin Arif Mandangan Sabit, S. Variable-order Implicit Fractional Differential Equations based on the Kuratowski MNC Technique |
description |
In this manuscript, we examine the existence and the stability of solutions to the boundary value problem of Riemann-Liouville fractional differential equations of variable order. The obtained new results are based on the fixed-point theorem of Darbo and Kuratowski’s metric of noncompactness (MNK) with the help of piece-wise constant functions. In addition, the derived fundamental results are proven suitable because they satisfy the Ulam-Hyers Rassias stability sufficient conditions. Several numerical examples were discussed too to demonstrate the reasonableness and effectiveness of the observed results. |
format |
Article |
author |
Bouazza, Z Souid, M. S. Che Haziqah Che Hussin Arif Mandangan Sabit, S. |
author_facet |
Bouazza, Z Souid, M. S. Che Haziqah Che Hussin Arif Mandangan Sabit, S. |
author_sort |
Bouazza, Z |
title |
Variable-order Implicit Fractional Differential Equations based on the Kuratowski MNC Technique |
title_short |
Variable-order Implicit Fractional Differential Equations based on the Kuratowski MNC Technique |
title_full |
Variable-order Implicit Fractional Differential Equations based on the Kuratowski MNC Technique |
title_fullStr |
Variable-order Implicit Fractional Differential Equations based on the Kuratowski MNC Technique |
title_full_unstemmed |
Variable-order Implicit Fractional Differential Equations based on the Kuratowski MNC Technique |
title_sort |
variable-order implicit fractional differential equations based on the kuratowski mnc technique |
publisher |
Institute for Mathematical Research, Universiti Putra Malaysia |
publishDate |
2023 |
url |
https://eprints.ums.edu.my/id/eprint/38004/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/38004/2/FULL%20TEXT.pdf https://eprints.ums.edu.my/id/eprint/38004/ https://doi.org/10.47836/mjms.17.3.05 |
_version_ |
1789426010889912320 |
score |
13.18916 |