[PDF][PDF] On the Hilfer fractional Volterra-Fredholm integro differential equations

K Ivaz, I Alasadi, A Hamoud - IAENG International Journal of Applied …, 2022 - academia.edu
K Ivaz, I Alasadi, A Hamoud
IAENG International Journal of Applied Mathematics, 2022academia.edu
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
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.
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