Caputo q-fractional initial value problems and a q-analogue Mittag–Leffler function

By Thabet Abdeljawad, Dumitru Băleanu. 2011

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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.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/6e63e38ce06597da7d6a93da5a34d12a33541e78