Fractional calculus

Banach space of functions equipped with a norm that is a combination of Lᵖ-norms of the function itself and its weak derivatives up to a given order

branch of mathematical analysis with fractional applications of derivatives and integrals

entire function depending on two complex parameters α and β

Riesz potential defines an inverse for a power of the Laplace operator on Euclidean space.

Integral transform

In fractional calculus, an area of mathematical analysis, the differintegral is a combined differentiation/integration operator. Applied to a function ƒ, the q-differintegral of f, here denoted by \mathbb{D}^q f is the fractional derivative (if q > 0) or fractional integral (if q < 0). If q = 0, then the q-th differintegral of a function is the function itself. In the context of fractional integration and differentiation, there are several definitions of the differintegral.

mathematical potential