Caputo Q-Fractional Initial Value Problems and a Q-Analogue Mittag-Leffler Function
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Open Access Color
BRONZE
Green Open Access
Yes
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No
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Top 10%
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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. (C) 2011 Elsevier B.V. All rights reserved.
Description
Abdeljawad, Thabet/0000-0002-8889-3768
ORCID
Keywords
Left Q-Fractional Integral, Right Q-Fractional Integral, Caputo Left And Right Q-Fractional Derivatives, Q-Operator, Q-Mittag-Leffler Function, Time Scale, FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, right \(q\)-fractional integral, \(q\)-Mittag-Leffler function, Q-operator, Fractional derivatives and integrals, Real analysis on time scales or measure chains, left \(q\)-fractional integral, time scale, Caputo left and right \(q\)-fractional derivatives
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Abdeljawad, T., Baleanu, D. (2011). Caputo q-fractional initial value problems and a q-analogue Mittag-Leffler function. Communications In Nonlinear Science And Numerical Simulation, 16(12), 4682-4688. http://dx.doi.org/10.1088/10.1016/j.cnsns.2011.01.026
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Scopus Q
OpenCitations Citation Count
110
Volume
16
Issue
12
Start Page
4682
End Page
4688
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Scopus : 127
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3
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