Random fractional functional differential equations

Ho, Vu

doi:10.22075/ijnaa.2017.980.1185

Random fractional functional differential equations

Document Type : Research Paper

Author

Vu Ho

Institute for Computational Science Ton Duc Thang University; 19 Nguyen Huu Tho, District 7, Ho Chi Minh City, Vietnam

10.22075/ijnaa.2017.980.1185

Abstract

In this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the Lipschitz type condition. Moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.

Keywords

Sample fractional integral

Sample fractional derivative

Fractional differential equations

random differential equations

Caputo fractional derivative