A solution of nonlinear fractional random differential equation via random fixed point technique
محورهای موضوعی : Fixed point theoryR. 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
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.
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