More properties of the proportional fractional integrals and derivatives of a function with respect to another function

Jarad, FahdJarad, FahdAbdeljawad, ThabetAbdeljawad, ThabetRashid, SaimaHammouch, ZakiaMatematik2022-06-202022-06-202020Jarad, Fahd...et al. (2020). "More properties of the proportional fractional integrals and derivatives of a function with respect to another function", Advances in Difference Equations, Vol. 2020, No. 1.1687-1847https://doi.org/10.1186/s13662-020-02767-xAbdeljawad, Thabet/0000-0002-8889-3768; Hammouch, Zakia/0000-0001-7349-6922In this article, we present some new properties of the fractional proportional derivatives of a function with respect to a certain function. We use a modified Laplace transform to find the relation between the derivatives in the Riemann-Liouville setting and the one in Caputo. In addition, we provide an integration by parts formulas related to the considered operators.eninfo:eu-repo/semantics/openAccessGeneral Proportional IntegralsGeneral Proportional DerivativesGeneral Caputo Proportional DerivativeMore properties of the proportional fractional integrals and derivatives of a function with respect to another functionMore Properties of the Proportional Fractional Integrals and Derivatives of a Function With Respect To Another FunctionArticle2020110.1186/s13662-020-02767-x2-s2.0-85086571042WOS:000544076700004Q1N/A