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A numerical method based on Chebyshev polynomials for solving a class of fuzzy Fredholm integro-di erential equations of fractional orders

عنوان مقاله: A numerical method based on Chebyshev polynomials for solving a class of fuzzy Fredholm integro-di erential equations of fractional orders
شناسه ملی مقاله: IDS03_008
منتشر شده در سومین کنفرانس سیستم های تصمیم گیری هوشمند در سال 1397
مشخصات نویسندگان مقاله:

R Mastani shabestari - Department of Mathematics,Souane Branch, Islamic Azad University,Souane, Iran
R Ezzati - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

خلاصه مقاله:
In this paper, rst, we introduce a new classes of fuzzy fractional Volterra-Fredholm integro-di erential equations as where the operator gHDq is a di erential operator in the sense of a given fractional derivative of order q. Then, we present a new approach based on the fuzzy Chebyshevpseudo-spectral numerical method to solve linear and nonlinear fractional-order integro- di erential equations of Volterra type. Finally, some fractional di erential equations are provided and analyzed numerically.

کلمات کلیدی:
Fuzzy fractional-order integro di erential equations of Volterra type; Fractional derivative; Generalized Hukuhara di erentiability; Generalized fuzzy Caputo di erentiabil- ity.

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/855008/