Title of article
ON THE EXISTENCE AND UNIQUENESS OF SOLUTION OF INITIAL VALUE PROBLEM FOR FRACTIONAL ORDER DIFFERENTIAL EQUATIONS ON TIME SCALES
Author/Authors
AHMADKHANLU, A. azarbaijan shahid madani university - Department of Mathematics, تبريز, ايران , JAHANSHAHI, M. azarbaijan shahid madani university - Department of Mathematics, تبريز, ايران
From page
241
To page
252
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, sufficient and necessary conditions are presented for the existence and uniqueness of solution of initial value problem including fractional order differential equations.
Keywords
Time scales , differential equations , initial value problem , fractional order derivative.
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2549474
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