A Fuzzy Fractional Power Series Approximation and Taylor Expansion for Solving Fuzzy Fractional Differential Equation
| dc.authorscopusid | 57212528544 | |
| dc.authorscopusid | 58075145600 | |
| dc.authorscopusid | 57213152433 | |
| dc.authorscopusid | 23028598900 | |
| dc.authorscopusid | 57004332200 | |
| dc.contributor.author | Singh,P. | |
| dc.contributor.author | Gazi,K.H. | |
| dc.contributor.author | Rahaman,M. | |
| dc.contributor.author | Salahshour,S. | |
| dc.contributor.author | Mondal,S.P. | |
| dc.date.accessioned | 2024-05-25T12:18:33Z | |
| dc.date.available | 2024-05-25T12:18:33Z | |
| dc.date.issued | 2024 | |
| dc.department | Okan University | en_US |
| dc.department-temp | Singh P., Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Parul University, Gujarat, Vadodara, 391760, India; Gazi K.H., Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, West Bengal, West Bengal, Nadia, Haringhata 741249, India; Rahaman M., Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, West Bengal, Howrah, 711103, India; Salahshour S., Faculty of Engineering and Natural Sciences, Istanbul Okan University, Istanbul, Turkey, Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey, Faculty of Science and Letters, Piri Reis University, Istanbul, Tuzla, Turkey; Mondal S.P., Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, West Bengal, West Bengal, Nadia, Haringhata 741249, India | en_US |
| dc.description.abstract | Fuzzy fractional differential has the strength to capture the senses of memory and uncertainty simultaneously involved in dynamical systems. However, a solution for fuzzy fractional differential equations is not always found regularly. This paper discusses a numerical solution approach for the fuzzy fractional differential equation using power series approximation with a fuzzy fractional counterpart of Taylor's theorem. Caputo's definition of the fractional derivative and generalized Hukuhara difference are used to describe the fuzzy differential equation in this paper. Utilization of the generalized Hukuhara difference for the fuzzy valued function ensures the uniqueness and boundedness of the fuzzy solution in parametric form. © 2024 The Author(s) | en_US |
| dc.identifier.citationcount | 3 | |
| dc.identifier.doi | 10.1016/j.dajour.2024.100402 | |
| dc.identifier.issn | 2772-6622 | |
| dc.identifier.scopus | 2-s2.0-85183484460 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.uri | https://doi.org/10.1016/j.dajour.2024.100402 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14517/1721 | |
| dc.identifier.volume | 10 | en_US |
| dc.institutionauthor | Salahshour, Soheıl | |
| dc.institutionauthor | Salahshour S. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier Inc. | en_US |
| dc.relation.ispartof | Decision Analytics Journal | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.scopus.citedbyCount | 7 | |
| dc.subject | Dynamical systems | en_US |
| dc.subject | Fuzzy Caputo fractional derivative | en_US |
| dc.subject | Fuzzy fractional differential equation | en_US |
| dc.subject | Fuzzy fractional Taylor's theorem | en_US |
| dc.subject | Power series approximation | en_US |
| dc.title | A Fuzzy Fractional Power Series Approximation and Taylor Expansion for Solving Fuzzy Fractional Differential Equation | en_US |
| dc.type | Article | en_US |