Caputo Q-Fractional Initial Value Problems and a Q-Analogue Mittag-Leffler Function
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Date
2011
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Open Access Color
BRONZE
Green Open Access
Yes
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 1%
Popularity
Top 1%
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
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
110
Source
Communications in Nonlinear Science and Numerical Simulation
Volume
16
Issue
12
Start Page
4682
End Page
4688
PlumX Metrics
Citations
CrossRef : 44
Scopus : 127
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