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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 | ||
آمار تعداد مشاهده مقاله: 268 تعداد دریافت فایل اصل مقاله: 399 |