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

Jarad, FahdAbdeljawad, ThabetShah, K.2022-11-302022-11-302020Jarad, Fahd; Abdeljawad, Thabet; Shah, K. (2020). "On the weighted fractional operators of a function with respect to another function", Fractals, Vol. 28, No. 8.0218-348Xhttp://hdl.handle.net/20.500.12416/5887The 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)eninfo:eu-repo/semantics/openAccessWeighted Fractional IntegralsWeighted Generalized Laplace TransformWeighted Spaces of Absolute Continuous FunctionsWeighted Spaces of Summable FunctionsOn the weighted fractional operators of a function with respect to another functionOn the Weighted Fractional Operators of a Function With Respect To Another FunctionArticle28810.1142/S0218348X20400113