On the existence and uniqueness of solution of initial value problem for fractional order differential equations on time scales

Authors

A. Ahmadkhanlu Azarbayjan University of Tarbiat Moallem

M. Jahanshahi Azarbayjan University of Tarbiat Moallem

Abstract:

n this paper, at first the concept of Caputo fractionalderivative is generalized on time scales. Then the fractional orderdifferential equations are introduced on time scales. Finally,sufficient and necessary conditions are presented for the existenceand uniqueness of solution of initial valueproblem including fractional order differential equations.

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Journal title

Bulletin of the Iranian Mathematical Society

volume 38 issue 1

pages 241- 252

publication date 2012-01-01

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Keywords

Time scales differential equations initial value problem fractional order derivative

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