In this paper we discuss fractional integrals and fractional derivatives of a function with respect to another function. We present some fundamental properties for both types of fractional operators, such as Taylor's theorem, Leibniz and semigroup rules. We also provide a numerical tool to deal with these operators, by approximating them with a sum involving integer-order derivatives.
"Further properties of Osler's generalized fractional integrals and derivatives with respect to another function." Rocky Mountain J. Math. 49 (8) 2459 - 2493, 2019. https://doi.org/10.1216/RMJ-2019-49-8-2459