A Generalized Q-Mittag Function by Q-Captuo Fractional Linear Equations
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Date
2012
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Ltd
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
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Top 10%
Abstract
Some Caputo q-fractional difference equations are solved. The solutions are expressed by means of a new introduced generalized type of q-Mittag-Leffler functions. The method of successive approximation is used to obtain the solutions. The obtained q-version of Mittag-Leffler function is thought as the q-analogue of the one introduced previously by Kilbas and Saigo (1995).
Description
Baleanu, Dumitru/0000-0002-0286-7244; Abdeljawad, Thabet/0000-0002-8889-3768
Keywords
Fractional Differential Equations, Evolutionary biology, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Orthogonal Polynomials, QA1-939, FOS: Mathematics, Approximation, Biology, Anomalous Diffusion Modeling and Analysis, Mittag-Leffler function, Ecology, Applied Mathematics, Fractional calculus, Pure mathematics, Applied mathematics, Fractional Derivatives, Function (biology), Modeling and Simulation, FOS: Biological sciences, Physical Sciences, Fractional Calculus, Type (biology), Mathematics, Difference equations, scaling (\(q\)-differences), Mittag-Leffler functions and generalizations, \(q\)-Mittag-Leffler functions, \(q\)-fractional difference equations
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Abdeljawad, T., Benli, B., aleanu, D. (2012). A generalized q-mittag-leffler function by q-captuo fractional linear equations. Abstract and Applied Analysis. http://dx.doi.org/10.1155/2012/546062
WoS Q
Scopus Q
Q3
OpenCitations Citation Count
38
Source
Abstract and Applied Analysis
Volume
2012
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CrossRef : 22
Scopus : 50
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SCOPUS™ Citations
52
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Web of Science™ Citations
33
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3
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