Generalized class of fractional inverse Lagrange expansion

In this work the left and right Riemann–Liouville derivatives are introduced. A generalized operator based on left/right Riemann–Liouville derivatives is obtained. Basic definitions, lemmas and theorems in the fractional calculus which is related to our purpose are presented. The fractional form of...

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Bibliographic Details
Published in:Journal of Taibah University for Science 2014-04, Vol.8 (2), p.175-185
Main Author: Abd El-Salam, F.A.
Format: Article
Language:English
Subjects:
Delta-function
Fractional right/left Riemann–Liouville derivative
Generalized operator
Lagrange expansion
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Summary:In this work the left and right Riemann–Liouville derivatives are introduced. A generalized operator based on left/right Riemann–Liouville derivatives is obtained. Basic definitions, lemmas and theorems in the fractional calculus which is related to our purpose are presented. The fractional form of Lagrange expansion theorem is obtained.
ISSN:1658-3655
1658-3655
DOI:10.1016/j.jtusci.2013.08.001