On Riemann-Liouville Operators for Functions of One and Several Variables

In this contribution, we present generalizations of path integrals from Multivariable Calculus to develop new fractional total differentials, extending the classical differentials for functions defined on Euclidean spaces. We explore and discuss several examples and key properties of these novel operators. Additionally, we conclude with a comparative analysis of our proposed operators alongside existing ones found in the literature.