A study on the solvability of fractional integral equation in a Banach algebra via Petryshyn's fixed point theorem
This study focuses on the nonlinear fractional functional integral equation (FFIE) concerning the Riemann-Liouville operator. In certain weaker conditions, the authors demonstrate that the FFIE has a solution, which is defined within the Banach algebra [Formula: see text]. Our analysis relies on the...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2024-12-01
|
| Series: | Journal of Taibah University for Science |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/16583655.2024.2410047 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850251703715102720 |
|---|---|
| author | Sukanta Halder Deepmala Cemil Tunç |
| author_facet | Sukanta Halder Deepmala Cemil Tunç |
| author_sort | Sukanta Halder |
| collection | DOAJ |
| description | This study focuses on the nonlinear fractional functional integral equation (FFIE) concerning the Riemann-Liouville operator. In certain weaker conditions, the authors demonstrate that the FFIE has a solution, which is defined within the Banach algebra [Formula: see text]. Our analysis relies on the Petryshyn's fixed point theorem and the notion of measure of non-compactness (MNC). In addition, our results include numerous authors' work under less restrictive conditions. Furthermore, we provide an illustrative example of fractional functional integral equations to support our proven results. |
| format | Article |
| id | doaj-art-9923f182057a49d39cd3ce48fd7439af |
| institution | OA Journals |
| issn | 1658-3655 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj-art-9923f182057a49d39cd3ce48fd7439af2025-08-20T01:57:51ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552024-12-0118110.1080/16583655.2024.2410047A study on the solvability of fractional integral equation in a Banach algebra via Petryshyn's fixed point theoremSukanta Halder0Deepmala1Cemil Tunç2Mathematics Discipline, PDPM Indian Institute of Information Technology, Design and Manufacturing, Jabalpur, Madhya Pradesh, IndiaMathematics Discipline, PDPM Indian Institute of Information Technology, Design and Manufacturing, Jabalpur, Madhya Pradesh, IndiaDepartment of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, Van, TurkeyThis study focuses on the nonlinear fractional functional integral equation (FFIE) concerning the Riemann-Liouville operator. In certain weaker conditions, the authors demonstrate that the FFIE has a solution, which is defined within the Banach algebra [Formula: see text]. Our analysis relies on the Petryshyn's fixed point theorem and the notion of measure of non-compactness (MNC). In addition, our results include numerous authors' work under less restrictive conditions. Furthermore, we provide an illustrative example of fractional functional integral equations to support our proven results.https://www.tandfonline.com/doi/10.1080/16583655.2024.2410047Measure of non-compactness (MNC)fractional functional integral equation (FFIE)fractional integralfixed point theory (FPT)47H0847H10 |
| spellingShingle | Sukanta Halder Deepmala Cemil Tunç A study on the solvability of fractional integral equation in a Banach algebra via Petryshyn's fixed point theorem Journal of Taibah University for Science Measure of non-compactness (MNC) fractional functional integral equation (FFIE) fractional integral fixed point theory (FPT) 47H08 47H10 |
| title | A study on the solvability of fractional integral equation in a Banach algebra via Petryshyn's fixed point theorem |
| title_full | A study on the solvability of fractional integral equation in a Banach algebra via Petryshyn's fixed point theorem |
| title_fullStr | A study on the solvability of fractional integral equation in a Banach algebra via Petryshyn's fixed point theorem |
| title_full_unstemmed | A study on the solvability of fractional integral equation in a Banach algebra via Petryshyn's fixed point theorem |
| title_short | A study on the solvability of fractional integral equation in a Banach algebra via Petryshyn's fixed point theorem |
| title_sort | study on the solvability of fractional integral equation in a banach algebra via petryshyn s fixed point theorem |
| topic | Measure of non-compactness (MNC) fractional functional integral equation (FFIE) fractional integral fixed point theory (FPT) 47H08 47H10 |
| url | https://www.tandfonline.com/doi/10.1080/16583655.2024.2410047 |
| work_keys_str_mv | AT sukantahalder astudyonthesolvabilityoffractionalintegralequationinabanachalgebraviapetryshynsfixedpointtheorem AT deepmala astudyonthesolvabilityoffractionalintegralequationinabanachalgebraviapetryshynsfixedpointtheorem AT cemiltunc astudyonthesolvabilityoffractionalintegralequationinabanachalgebraviapetryshynsfixedpointtheorem AT sukantahalder studyonthesolvabilityoffractionalintegralequationinabanachalgebraviapetryshynsfixedpointtheorem AT deepmala studyonthesolvabilityoffractionalintegralequationinabanachalgebraviapetryshynsfixedpointtheorem AT cemiltunc studyonthesolvabilityoffractionalintegralequationinabanachalgebraviapetryshynsfixedpointtheorem |