On a New Definition of Fractional Differintegrals With Mittag-Leffler Kernel
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Date
2019
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Volume Title
Publisher
Univ Nis, Fac Sci Math
Open Access Color
GOLD
Green Open Access
Yes
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No
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Top 10%
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Top 10%
Abstract
We introduce a new family of fractional differential and integral operators which emerge from a fractional iteration process applied to some existing fractional operators with Mittag-Leffler kernels. We analyse the new operators and prove various facts about them, including a semigroup property. We also solve some ODEs in this new model by using Laplace transforms, and discuss applications of our results.
Description
Keywords
Fractional Calculus, Semigroup Property, Mittag-Leffler Function, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 26A33, 34A08, Mittag-Leffler function, Fractional derivatives and integrals, Fractional ordinary differential equations, fractional calculus, semigroup property
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Fernandez, Arran; Baleanu, Dumitru, "On a New Definition of Fractional Differintegrals with Mittag-Leffler Kernel", Filomat, Vol. 33, No. 1, pp. 245-254, (2019).
WoS Q
Q2
Scopus Q
Q3
OpenCitations Citation Count
13
Source
Filomat
Volume
33
Issue
1
Start Page
245
End Page
254
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CrossRef : 12
Scopus : 15
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15
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16
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3
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