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- Title
Coupled fractional differential systems with random effects in Banach spaces.
- Authors
Zentar, O.; Ziane, M.; Khelifa, S.
- Abstract
The purpose of this work is to investigate the existence of solutions for a system of random differential equations involving the Riemann–Liouville fractional derivative. The existence result is established by means of a random abstract formulation to Sadovskii's fixed point theorem principle [A. Baliki, J. J. Nieto, A. Ouahab and M. L. Sinacer, Random semilinear system of differential equations with impulses, Fixed Point Theory Appl. 2017 2017, Paper No. 27] combined with a technique based on vector-valued metrics and convergent to zero matrices. An example is also provided to illustrate our result.
- Subjects
BANACH spaces; IMPULSIVE differential equations; DIFFERENTIAL equations; SEMILINEAR elliptic equations; FUNCTIONAL differential equations; RANDOM variables
- Publication
Random Operators & Stochastic Equations, 2021, Vol 29, Issue 4, p251
- ISSN
0926-6364
- Publication type
Article
- DOI
10.1515/rose-2021-2064