Stochastic differential inclusions with Hilfer fractional derivative

Chaouche Meryem, Toufik Guendouzi

Abstract


In this paper, we study the existence of mild solutions of Hilfer fractional stochastic differential inclusions driven by sub fractional Brownian motion in the cases when the multivalued map is convex and non convex. The results are obtained by using fixed point theorem. Finally an example is given to illustrate the obtained results.

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DOI: https://doi.org/10.52846/ami.v49i1.1524