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Caputo q-fractional initial value problems and a q-analogue Mittag-Leffler function
Journal article   Peer reviewed

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

Thabet Abdeljawad and Dumitru Baleanu
Communications in nonlinear science & numerical simulation, Vol.16(12), pp.4682-4688
01/12/2011
DOI: https://doi.org/10.1016/j.cnsns.2011.01.026

Abstract

Mathematics Mathematics, Applied Mathematics, Interdisciplinary Applications Mechanics Physical Sciences Physics Physics, Fluids & Plasmas Physics, Mathematical Science & Technology Technology
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. (C) 2011 Elsevier B.V. All rights reserved.

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