On solution of fuzzy Volterra integro-differential equations
| dc.contributor.author | Ullah, Zia | |
| dc.contributor.author | Ahmad, Shabir | |
| dc.contributor.author | Ullah, Aman | |
| dc.contributor.author | Akgül, Ali | |
| dc.date.accessioned | 2024-12-24T19:10:20Z | |
| dc.date.available | 2024-12-24T19:10:20Z | |
| dc.date.issued | 2021 | |
| dc.department | Siirt Üniversitesi | |
| dc.description.abstract | In this article, the Volterra integro-differential equation of separable type kernels is considered under the fuzzy concept. A hybrid technique is used to solve fuzzy integro-differential equations under the notion of generalized Hukuhara differentiability. To build up a suitable algorithm, Laplace transformation coupled with the Adomian decomposition method (LADM) is used which is an essential and profitable algorithm for setting the fuzzy Volterra integro-differential equations. The proposed method is illustrated by two test problems that show the convergence of the series solution to the exact solution in closed form. The numerical results of the examples are depicted by appropriate graphs at different uncertainty values. Additionally, the graphical portrayals show the fruitfulness and accuracy of the proposed method. © 2021 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group on behalf of the University of Bahrain. | |
| dc.identifier.doi | 10.1080/25765299.2021.1970874 | |
| dc.identifier.endpage | 339 | |
| dc.identifier.issn | 2576-5299 | |
| dc.identifier.issue | 1 | |
| dc.identifier.scopus | 2-s2.0-85114053500 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 330 | |
| dc.identifier.uri | https://doi.org10.1080/25765299.2021.1970874 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12604/4054 | |
| dc.identifier.volume | 28 | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Taylor and Francis Ltd. | |
| dc.relation.ispartof | Arab Journal of Basic and Applied Sciences | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_20241222 | |
| dc.subject | 26A33 | |
| dc.subject | 35R11 | |
| dc.subject | Adomian decomposition method | |
| dc.subject | Fuzzy integro-differential equation | |
| dc.subject | Hukuhara differentiability | |
| dc.subject | Laplace transformation | |
| dc.subject | Secondary 34A08 | |
| dc.subject | semi-analytical solution | |
| dc.title | On solution of fuzzy Volterra integro-differential equations | |
| dc.type | Article |
