A Study on the Solvability of Fractional Integral Equation in a Banach Algebra Via Petryshyn's Fixed Point Theorem
| dc.contributor.author | Halder, Sukanta | |
| dc.contributor.author | Deepmala, Cemil | |
| dc.contributor.author | Tunc, Cemil | |
| dc.date.accessioned | 2025-05-10T17:24:28Z | |
| dc.date.available | 2025-05-10T17:24:28Z | |
| dc.date.issued | 2024 | |
| dc.description | Tunc, Cemil/0000-0003-2909-8753 | en_US |
| dc.description.abstract | 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 $ C [0, a], a>0. 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. | en_US |
| dc.description.sponsorship | University Grant Commission (UGC), Government of India [201610139246] | en_US |
| dc.description.sponsorship | The first author's research work is supported by the University Grant Commission (UGC), Government of India under the JRF fellowship reference No. 201610139246 (CSIR-UGC NET NOV 2020). | en_US |
| dc.identifier.doi | 10.1080/16583655.2024.2410047 | |
| dc.identifier.issn | 1658-3655 | |
| dc.identifier.scopus | 2-s2.0-85206376759 | |
| dc.identifier.uri | https://doi.org/10.1080/16583655.2024.2410047 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/11212 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Ltd | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Measure Of Non-Compactness (Mnc) | en_US |
| dc.subject | Fractional Functional Integral Equation (Ffie) | en_US |
| dc.subject | Fractional Integral | en_US |
| dc.subject | Fixed Point Theory (Fpt) | en_US |
| dc.title | A Study on the Solvability of Fractional Integral Equation in a Banach Algebra Via Petryshyn's Fixed Point Theorem | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Tunc, Cemil/0000-0003-2909-8753 | |
| gdc.author.scopusid | 59307946800 | |
| gdc.author.scopusid | 54906271400 | |
| gdc.author.scopusid | 6603328862 | |
| gdc.author.wosid | Tunç, Cemil/Afh-0945-2022 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| gdc.description.departmenttemp | [Halder, Sukanta] PDPM Indian Inst Informat Technol Design & Mfg, Math Discipline, Jabalpur, Madhya Pradesh, India; [Deepmala, Cemil; Tunc, Cemil] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.volume | 18 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.wos | WOS:001336825000001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |