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초록
In this paper, we consider switched coupled system of nonlinear impulsive Langevin equations with mixed derivatives. Some sufficient conditions are constructed to observe the existence, uniqueness and generalized Ulam-Hyers-Rassias stability of our proposed model, with the help of generalized Diaz-Margolis's fixed point approach, over generalized complete metric space. We give an example which supports our main result.
키워드
Langevin equation; Caputo derivative; impulse; Ulam-Hyers-Rassias stability; FRACTIONAL DIFFERENTIAL-EQUATIONS; HYERS-ULAM STABILITY; EXISTENCE; BOUNDEDNESS; ORDER
- 제목
- Switched coupled system of nonlinear impulsive Langevin equations with mixed derivatives
- 저자
- Rizwan, Rizwan; Lee, Jung Rye; Park, Choonkil; Zada, Akbar
- 발행일
- 2021-09
- 유형
- Article
- 저널명
- AIMS MATHEMATICS
- 권
- 6
- 호
- 12
- 페이지
- 13092 ~ 13118