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Turkish Journal of Mathematics

Authors

EKİN UĞURLU

DOI

10.3906/mat-2010-53

Abstract

This work aims to share some fractional integrals and derivatives containing three real parameters. The main tool to introduce such operators is the corresponding Abel's equation. Solvability conditions for the Abel's equations are shared. Semigroup properties for fractional integrals are introduced. Integration by parts rule is given. Moreover, mean value theorems and related results are shared. At the end of the paper, some directions for some fractional operators are given.

First Page

1

Last Page

23

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