Stochastic differential inclusions with Hilfer fractional derivative

Universitatea din Craiova. Analele. Seria: Matematica, Informatica

article

Chaouche Meryem¹  Toufik Guendouzi¹ 

[1] University Of Saida Dr. Moulay Tahar

关键词: Hilfer fractional derivative;    fixed point;    stochastic differentialinclusion;    sub-fractional Brownian motion;    mild solution;   

DOI  :  10.52846/ami.v49i1.1524

学科分类：社会科学、人文和艺术（综合）

来源: Universitatea din Craiova / University of Craiova

【 摘 要 】

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.

【 授权许可】

Unknown