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Title
ON THE EXISTENCE AND UNIQUENESS OF SOLUTION OF INITIAL VALUE PROBLEM FOR FRACTIONAL ORDER DIFFERENTIAL EQUATIONS ON TIME SCALES
Type of Research Article
Keywords
Time scales, differential equations, initial value problem, fractional order derivative
Abstract
In this paper, at first the concept of Caputo fractional derivative is generalized on time scales. Then the fractional order differential equations are introduced on time scales. Finally, suffi- cient and necessary conditions are presented for the existence and uniqueness of solution of initial value problem including fractional order differential equations.
Researchers asghar ahmadkhanlu (First Researcher)، Mohammad Jahanshahi (Second Researcher)