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

Document Type: Research Paper

Authors

Azarbayjan University of Tarbiat Moallem

Abstract

n 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,
sufficient and necessary conditions are presented for the existence
and uniqueness of solution of initial value
problem including fractional order differential equations.

Keywords