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On the weighted fractional operators of a function with respect to another function

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2020

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World Scientific Publ Co Pte Ltd

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Matematik
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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.

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Shah, Kamal/0000-0002-8851-4844

Keywords

Weighted Fractional Integrals, Weighted Spaces Of Summable Functions, Weighted Spaces Of Absolute Continuous Functions, Weighted Generalized Laplace Transform

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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.

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28

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8

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