On the weighted fractional operators of a function with respect to another function
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Date
2020
Authors
Jarad, Fahd
Abdeljawad, Thabet
Shah, K.
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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. © The Author(s)
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Weighted Fractional Integrals, Weighted Generalized Laplace Transform, Weighted Spaces of Absolute Continuous Functions, Weighted Spaces of Summable Functions
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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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Source
Fractals
Volume
28
Issue
8