Turkish Journal of Mathematics
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.
Keywords
Fractional integrals, fractional derivatives, mean value theorems
First Page
1
Last Page
23
Recommended Citation
UĞURLU, EKİN
(2022)
"On some fractional operators generated from Abel's formula,"
Turkish Journal of Mathematics: Vol. 46:
No.
1, Article 1.
https://doi.org/10.3906/mat-2010-53
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss1/1
