Advances in Dynamical Systems and Applications

  • Year: 2006
  • Volume: 1
  • Issue: 1

On some stochastic fractional integro - Differential equations

  • Author:
  • Mahmoud M. El-Borai
  • Total Page Count: 9
  • DOI:
  • Page Number: 49 to 57

Faculty of Science, Alexandria University, Alexandria, Egypt. E-mail: m_m_elborai@yahoo.com

AMS subject classification: 34K30, 34K05, 26A33, 35A05.

Abstract

Some classes of stochastic fractional integropartial differential equations are investigated. Mild solutions of the nonlocal Cauchy problem for the considered classes are studied. The Leray–Schauder principle is used to establish the existence of stochastic solutions. The uniqueness of the solution of the considered problem is also studied under suitable conditions.

Keywords

Nonlocal Cauchy problem, stochastic integropartial differential equations, fractional order