On the fuzzy solutions of time-fractional problems

سال انتشار: 1400
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 345

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شناسه ملی سند علمی:

JR_IJFS-18-3_006

تاریخ نمایه سازی: 30 خرداد 1400

چکیده مقاله:

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.

کلیدواژه ها:

Fuzzy time-fractional differential equations ، fuzzy Laplace transform ، fuzzy fourier transform ، Caputo gH-differentiability

نویسندگان

M. Ghaffari

Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

T. Allahviranloo

Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

S. Abbasbandy

Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran

M. Azhini

Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran