Riesz potential operators and inverses via fractional centredderivatives
Riesz potential operators and inverses via fractional centredderivatives
Fractional centred differences and derivatives definitions are proposed, generalizing to real orders the existing ones valid for even and odd positive integer orders. For each one, suitable integral formulations are obtained. The computations of the involved integrals lead to new generalizations of the Cauchy integral derivative. To compute this integral, …