Rashwan, R., Hammad, H. (2017). A solution of nonlinear fractional random differential equation via random ﬁxed point technique. Journal of Linear and Topological Algebra (JLTA), 06(04), 277-287.

R. A. Rashwan; H. A. Hammad. "A solution of nonlinear fractional random differential equation via random ﬁxed point technique". Journal of Linear and Topological Algebra (JLTA), 06, 04, 2017, 277-287.

Rashwan, R., Hammad, H. (2017). 'A solution of nonlinear fractional random differential equation via random ﬁxed point technique', Journal of Linear and Topological Algebra (JLTA), 06(04), pp. 277-287.

Rashwan, R., Hammad, H. A solution of nonlinear fractional random differential equation via random ﬁxed point technique. Journal of Linear and Topological Algebra (JLTA), 2017; 06(04): 277-287.

A solution of nonlinear fractional random differential equation via random ﬁxed point technique

^{1}Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt

^{2}Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

Abstract

In 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.

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