Analysis of Hilfer Fractional Integro-Differential Equations with Almost Sectorial Operators

In this work, we investigate a class of nonlocal integro-differential equations involving Hilfer fractional derivatives and almost sectorial operators. We prove our results by applying Schauder’s fixed point technique. Moreover, show the fundamental properties representation solution discussing two cases related to associated semigroup. For that, consider compactness noncompactness properties, respectively. Furthermore, an example is given illustrate obtained theory.