On Some Fractional Operators Generated From Abel's Formula
Loading...
Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Tubitak Scientific & Technological Research Council Turkey
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Average
Influence
Average
Popularity
Average
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 property 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.
Description
Keywords
Fractional Integrals, Fractional Derivatives, Mean Value Theorems, One-parameter semigroups and linear evolution equations, fractional derivatives, Fractional derivatives and integrals, mean value theorems, fractional integrals, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Fractional partial differential equations
Fields of Science
Citation
Uğurlu, Ekin. (2022). "On some fractional operators generated from Abel’s formula", Turkish Journal of Mathematics, Vol.46, pp.1-23.
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
N/A
Source
TURKISH JOURNAL OF MATHEMATICS
Volume
46
Issue
1
Start Page
1
End Page
23
PlumX Metrics
Citations
Scopus : 5
SCOPUS™ Citations
5
checked on Feb 24, 2026
Web of Science™ Citations
5
checked on Feb 24, 2026
Page Views
2
checked on Feb 24, 2026
Google Scholar™
