ON THE WEIGHTED FRACTIONAL OPERATORS OF A FUNCTION WITH RESPECT TO ANOTHER FUNCTION-Reference-Cited by-同舟云学术

ON THE WEIGHTED FRACTIONAL OPERATORS OF A FUNCTION WITH RESPECT TO ANOTHER FUNCTION

Published:2020-06-25 Issue:08 Volume:28 Page:2040011
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

JARAD F.¹,ABDELJAWAD T.²³⁴,SHAH K.⁵

Affiliation:

1. Çankaya University, Department of Mathematics, 06790 Etimesgut, Ankara, Turkey

2. Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia

3. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

4. Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan

5. Department of Mathematics, University of Malakand, Khyber Pakhtunkhwa, Pakistan

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X20400113

Reference20 articles.

1. Applications of Fractional Calculus in Physics

2. Recent applications of fractional calculus to science and engineering

3. North Holland Mathematics Studies;Kilbas A.,2006

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