The Existence for stochastic coupled systems on networks with time-varying delay driven by driven by Rosenblatt process with delay and poisson jumps

Stochastic Analysis

Authors

  • Ferhat mohamed Mohamed usto university of mohamed boudiaf (Oran)
  • Blouhi Tayeb usto university of mohamed boudiaf (Oran)

Keywords:

Mild solutions, fractional Brownian motion, impulsive differential equations, matrix convergent to zero, generalized Banach space, fixed point

Abstract

We present some results on the existence and uniqueness of mild solutions for system of semilinear impulsive differential with infinite fractional Brownian motions. Our approach is based on Perov's fixed point theorem and a new version of Schaefer's fixed point theorem in generalized Banach spaces. Also, we investigate the relationship between mild and weak solutions.

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Published

2019-03-22

How to Cite

Mohamed, F. mohamed, & Tayeb, B. (2019). The Existence for stochastic coupled systems on networks with time-varying delay driven by driven by Rosenblatt process with delay and poisson jumps: Stochastic Analysis. International Journal of Maps in Mathematics, 2(1), 38–63. Retrieved from https://simadp.com/journalmim/article/view/47

Issue

Vol. 2 No. 1 (2019): International Journal of Maps in Mathematics

Section

Articles

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