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

محورهای موضوعی : Fixed point theory

R. A. Rashwan ¹ , H. A. Hammad ²

1 - Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt
2 - Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

تاریخ دریافت : 1396/07/09 تاریخ پذیرش : 1396/09/14 تاریخ انتشار : 1396/09/10

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

چکیده مقاله :

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.