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

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.

Keywords:

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