Approximate controllability of Sobolev-type Atangana-Baleanu fractional differential inclusions with noise effect and Poisson jumps
oleh: A. M. Sayed Ahmed, Hamdy M. Ahmed, Nesreen Sirelkhtam Elmki Abdalla, Assmaa Abd-Elmonem, E. M. Mohamed
| Format: | Article |
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| Diterbitkan: | AIMS Press 2023-08-01 |
Deskripsi
In this paper, we explore the approximative controllability of fractional stochastic differential inclusions (SDIs) of Sobolev-type with fractional derivatives in Atangana-Baleanu (AB) sense and Poisson jumps. Our findings are supported by the fixed point theorem, multi-valued map theory, compact semigroup theory and stochastic analysis principles. In the later part, an illustration is provided to clarify the established outcomes.