| dc.contributor.author | Cetinkaya, Aysegul | |
| dc.contributor.author | Kiymaz, Onur | |
| dc.date.accessioned | 2019-11-24T20:57:41Z | |
| dc.date.available | 2019-11-24T20:57:41Z | |
| dc.date.issued | 2013 | |
| dc.identifier.issn | 0895-7177 | |
| dc.identifier.uri | https://dx.doi.org/10.1016/j.mcm.2011.12.015 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2788 | |
| dc.description | WOS: 000317262100032 | en_US |
| dc.description.abstract | In the present paper, a general recurrence relation for determining the solutions of the time-fractional diffusion equation is obtained with the generalized differential transform method. The obtained relation will help us to solve time-fractional diffusion equations with various external forces and initial conditions. Four illustrative examples are given. (C) 2011 Elsevier Ltd. All rights reserved. | en_US |
| dc.description.sponsorship | Scientific Research Projects Unit of Ahi Evran UniversityAhi Evran University [FBA-11-17] | en_US |
| dc.description.sponsorship | This work was supported by the Scientific Research Projects Unit of Ahi Evran University under the project number of FBA-11-17. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | en_US |
| dc.relation.isversionof | 10.1016/j.mcm.2011.12.015 | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Numerical methods | en_US |
| dc.subject | Analytical solution | en_US |
| dc.subject | Time-fractional diffusion equation | en_US |
| dc.subject | Generalized differential transform method | en_US |
| dc.subject | Mittag-Leffler function | en_US |
| dc.title | The solution of the time-fractional diffusion equation by the generalized differential transform method | en_US |
| dc.type | article | en_US |
| dc.relation.journal | MATHEMATICAL AND COMPUTER MODELLING | en_US |
| dc.contributor.department | Kırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.identifier.volume | 57 | en_US |
| dc.identifier.issue | 9.Eki | en_US |
| dc.identifier.startpage | 2349 | en_US |
| dc.identifier.endpage | 2354 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
