On the Hilfer Fractional Volterra-Fredholm Integro Differential Equations.

In this work, we investigate a class of nonlocal Volterra-Fredholm integro-differential equations involving Hilfer fractional derivatives and almost sectorial operators. We prove our results by applying Arzela-Ascoli theorem and Schauder's fixed point technique. Moreover, we show the fundamental properties of the representation of the solution by discussing a case related to the associated semigroup. For that, we consider compactness properties. [ABSTRACT FROM AUTHOR]