A new definition of fractional derivative

We give a new definition of fractional derivative and fractional integral. The form of the definition shows that it is the most natural definition, and the most fruitful one. The definition for 0≤α

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2014-07, Vol.264, p.65-70
Main Authors: Khalil, R., Al Horani, M., Yousef, A., Sababheh, M.
Format: Article
Language:English
Subjects:
Fractional derivative
Fractional integral
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Description
Summary:We give a new definition of fractional derivative and fractional integral. The form of the definition shows that it is the most natural definition, and the most fruitful one. The definition for 0≤α
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2014.01.002