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- Title
Existence theory and Ulam's stabilities for switched coupled system of implicit impulsive fractional order Langevin equations.
- Authors
Rizwan, Rizwan; Liu, Fengxia; Zheng, Zhiyong; Park, Choonkil; Paokanta, Siriluk
- Abstract
In this work, a system of nonlinear, switched, coupled, implicit, impulsive Langevin equations with two Hilfer fractional derivatives is introduced. The suitable conditions and results are established to discuss existence, uniqueness, and Ulam-type stability results of the mentioned model, with the help of nonlinear functional analysis techniques and Banach's fixed-point theorem. Furthermore, we examine our results with the help of example.
- Subjects
LANGEVIN equations; FUNCTIONAL analysis; NONLINEAR functional analysis; IMPULSIVE differential equations
- Publication
Boundary Value Problems, 2023, Vol 2023, Issue 1, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1186/s13661-023-01785-4