Caputo q-Fractional Initial Value Problems and a q-Analogue Mittag-Leffler Function
classification
🧮 math.DS
keywords
q-fractionalcaputofunctioninitialintroducedproblemsvaluederivatives
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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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