Stability analysis of neutral delay fractional differential equations with Erdelyi–Kober fractional integral boundary conditions
The primary focus of this article is to provide sufficient conditions for the Ulam–Hyers stability of neutral delay fractional differential equations involving Hilfer fractional derivatives and Erdelyi–Kober fractional integral boundary conditions. The fixed point approach is utilized to prove the e...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-09-01
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| Series: | Results in Control and Optimization |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720723000802 |
| _version_ | 1797736826031570944 |
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| author | Pallavi Bedi Anoop Kumar Aziz Khan Thabet Abdeljawad |
| author_facet | Pallavi Bedi Anoop Kumar Aziz Khan Thabet Abdeljawad |
| author_sort | Pallavi Bedi |
| collection | DOAJ |
| description | The primary focus of this article is to provide sufficient conditions for the Ulam–Hyers stability of neutral delay fractional differential equations involving Hilfer fractional derivatives and Erdelyi–Kober fractional integral boundary conditions. The fixed point approach is utilized to prove the existence and uniqueness of mild solutions for the proposed problem. In the end, the derived results are validated through an illustrative example. |
| first_indexed | 2024-03-12T13:19:32Z |
| format | Article |
| id | doaj.art-826eb02cb9c4428e999a9c131622d213 |
| institution | Directory Open Access Journal |
| issn | 2666-7207 |
| language | English |
| last_indexed | 2024-03-12T13:19:32Z |
| publishDate | 2023-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj.art-826eb02cb9c4428e999a9c131622d2132023-08-26T04:44:19ZengElsevierResults in Control and Optimization2666-72072023-09-0112100278Stability analysis of neutral delay fractional differential equations with Erdelyi–Kober fractional integral boundary conditionsPallavi Bedi0Anoop Kumar1Aziz Khan2Thabet Abdeljawad3Department of Mathematics and Statistics, Central University of Punjab, Bathinda, 151001, Punjab, IndiaDepartment of Mathematics and Statistics, Central University of Punjab, Bathinda, 151001, Punjab, IndiaDepartment of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia; Corresponding author.Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi ArabiaThe primary focus of this article is to provide sufficient conditions for the Ulam–Hyers stability of neutral delay fractional differential equations involving Hilfer fractional derivatives and Erdelyi–Kober fractional integral boundary conditions. The fixed point approach is utilized to prove the existence and uniqueness of mild solutions for the proposed problem. In the end, the derived results are validated through an illustrative example.http://www.sciencedirect.com/science/article/pii/S2666720723000802Fractional differential equationsHilfer and Erdélyi–kober fractional operatorsFractional integral boundary conditionsDelay functionsBanach contraction principleKrasnosellki’s fixed point theorem |
| spellingShingle | Pallavi Bedi Anoop Kumar Aziz Khan Thabet Abdeljawad Stability analysis of neutral delay fractional differential equations with Erdelyi–Kober fractional integral boundary conditions Results in Control and Optimization Fractional differential equations Hilfer and Erdélyi–kober fractional operators Fractional integral boundary conditions Delay functions Banach contraction principle Krasnosellki’s fixed point theorem |
| title | Stability analysis of neutral delay fractional differential equations with Erdelyi–Kober fractional integral boundary conditions |
| title_full | Stability analysis of neutral delay fractional differential equations with Erdelyi–Kober fractional integral boundary conditions |
| title_fullStr | Stability analysis of neutral delay fractional differential equations with Erdelyi–Kober fractional integral boundary conditions |
| title_full_unstemmed | Stability analysis of neutral delay fractional differential equations with Erdelyi–Kober fractional integral boundary conditions |
| title_short | Stability analysis of neutral delay fractional differential equations with Erdelyi–Kober fractional integral boundary conditions |
| title_sort | stability analysis of neutral delay fractional differential equations with erdelyi kober fractional integral boundary conditions |
| topic | Fractional differential equations Hilfer and Erdélyi–kober fractional operators Fractional integral boundary conditions Delay functions Banach contraction principle Krasnosellki’s fixed point theorem |
| url | http://www.sciencedirect.com/science/article/pii/S2666720723000802 |
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