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On the fuzzy solutions of time-fractional problems | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 6، دوره 18، شماره 3، مرداد و شهریور 2021، صفحه 51-66 اصل مقاله (270.46 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2021.6081 | ||
| نویسندگان | ||
| M. Ghaffari* 1؛ T. Allahviranloo1؛ S. Abbasbandy2؛ M. Azhini1 | ||
| 1Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran | ||
| 2Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran | ||
| چکیده | ||
| The main purpose of this paper is to obtain an analytical solution for the time-fractional fuzzy equation. To do this, the time-fractional equation is transformed into an algebraic equation using the fuzzy Laplace and Fourier transforms. The fractional derivatives are described in the Caputo gH-differentiability. In addition, to demonstrate the efficiency of the method some various examples are solved. | ||
| کلیدواژهها | ||
| Fuzzy time-fractional differential equations؛ fuzzy Laplace transform؛ fuzzy Fourier transform؛ Caputo gH-differentiability | ||
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