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arXiv · 1102.1444

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

Thabet Abdeljawad·Dumitru Baleanu
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Abstract

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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Thabet Abdeljawad, Dumitru Baleanu. 2011-02-07. Caputo q-Fractional Initial Value Problems and a q-Analogue Mittag-Leffler Function. https://doi.org/10.1016/j.cnsns.2011.01.026

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