Caputo q-Fractional Initial Value Problems and a q-Analogue Mittag-Leffler Function

Details Caputo q-Fractional Initial Value Problems and a q-Analogue Mittag-Leffler Function Caputo q-Fractional Initial Value Problems and a q-Analogue Mittag-Leffler Function

2011-02-07

arxiv.org/abs/1102.1444v1

Mathematics

Dynamical Systems

Scientific paper

Caputo q-fractional derivatives are introduced and studied. A Caputo -type
q-fractional initial value problem is solved and its solution is expressed by
means of a new introduced q-Mittag-Leffler function. Some open problems about
q-fractional integrals are proposed as well.

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