A nabla fractional Riemann-Liouville calculus on time scales with application to dynamic equations
Keywords:Time scales, fractional derivatives, dynamic equations, initial value problems
We introduce more general concepts of Riemann-Liouville fractional nabla integral and nabla derivative on time scales. By using the fixed point theorem, suffi cient conditions for existence and uniqueness of solution to an initial value problem described by nabla derivatives on time scales. Some properties of the new operator are proved and illustrated with examples.
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