New Approach To A Generalized Fractional Integral
Classical Analysis and ODEs
2014-10-23 v2 Dynamical Systems
Abstract
The paper presents a new formula for the fractional integration, which generalizes the Riemann-Liouville and Hadamard fractional integrals into a single form, which when a parameter fixed at different values, produces the above integrals as special cases. Conditions are given for such a generalized fractional integration operator to be bounded in an extended Lebesgue measurable space. Semigroup property for the above operator is also proved. Finally, we give a general definition of the Fractional derivatives.
Cite
@article{arxiv.1010.0742,
title = {New Approach To A Generalized Fractional Integral},
author = {Udita N. Katugampola},
journal= {arXiv preprint arXiv:1010.0742},
year = {2014}
}
Comments
12 pages, 2 figures, Submitted to : Applied Mathematics and Computations