On the Weighted Fractional Operators of a Function With Respect To Another Function
Loading...
Date
2020
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
World Scientific Publ Co Pte Ltd
Open Access Color
HYBRID
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 1%
Influence
Top 10%
Popularity
Top 1%
Abstract
The primary goal of this study is to define the weighted fractional operators on some spaces. We first prove that the weighted integrals are bounded in certain spaces. Afterwards, we discuss the weighted fractional derivatives defined on absolute continuous-like spaces. At the end, we present a modified Laplace transform that can be applied perfectly to such operators.
Description
Shah, Kamal/0000-0002-8851-4844
ORCID
Keywords
Weighted Fractional Integrals, Weighted Spaces Of Summable Functions, Weighted Spaces Of Absolute Continuous Functions, Weighted Generalized Laplace Transform, Laplace transform, Applied Mathematics, Fractional calculus, Pure mathematics, Evolutionary biology, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Nonlocal Partial Differential Equations and Boundary Value Problems, Bounded function, Fractional Derivatives, Function (biology), Modeling and Simulation, Physical Sciences, FOS: Mathematics, Fractional Calculus, Biology, Anomalous Diffusion Modeling and Analysis, Mathematics, weighted spaces of summable functions, Fractional derivatives and integrals, weighted spaces of absolute continuous functions, weighted fractional integrals, weighted generalized Laplace transform
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Jarad, Fahd; Abdeljawad, Thabet; Shah, K. (2020). "On the weighted fractional operators of a function with respect to another function", Fractals, Vol. 28, No. 8.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
80
Source
Fractals
Volume
28
Issue
8
Start Page
2040011
End Page
PlumX Metrics
Citations
CrossRef : 35
Scopus : 92
Captures
Mendeley Readers : 2
Google Scholar™
