Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201060420171201A solution of nonlinear fractional random differential equation via random ﬁxed point technique277287536117ENR. A. RashwanDepartment of Mathematics, Faculty of Science, Assuit University, Assuit 71516, EgyptH. A. HammadDepartment of Mathematics, Faculty of Science, Sohag University, Sohag 82524, EgyptJournal Article20171001In this paper, we investigate a new type of random $F$-contraction and obtain a common random fixed point theorem for a pair of self stochastic mappings in a separable Banach space. The existence of a unique solution for nonlinear fractional random differential equation is proved under suitable conditions.http://jlta.iauctb.ac.ir/article_536117_32277bf22266c36e920243012bcbba9a.pdf