Existence of local solutions for some integro-differential equations of arbitrary fractional order

Abstract: In this paper we investigate the existence and uniqueness of a local solution for different types of fractional integro-differential equations of any order. The results are obtained by using fixed point theorems. An example is introduced to illustrate the theorem.

Keywords: Fractional integro-differential equations, existence and uniqueness, fixed point theorem

Classification (MSC2000): 34A12; 34G20, 26A33

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