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

Subject Areas : Fixed point theory

R. A.  Rashwan ¹ (Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt)
H. A.  Hammad ² (Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt)

Received: 2017-10-01 Accepted : 2017-12-05 Published : 2017-12-01

Keywords: Random fixed point, F-contraction, separable metric spaces, NFRDE,

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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