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Switched coupled system of nonlinear impulsive Langevin equations with mixed derivativesopen access
- Authors
- Rizwan, Rizwan; Lee, Jung Rye; Park, Choonkil; Zada, Akbar
- Issue Date
- Sep-2021
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Keywords
- Langevin equation; Caputo derivative; impulse; Ulam-Hyers-Rassias stability
- Citation
- AIMS MATHEMATICS, v.6, no.12, pp.13092 - 13118
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS MATHEMATICS
- Volume
- 6
- Number
- 12
- Start Page
- 13092
- End Page
- 13118
- ISSN
- 2473-6988
- Abstract
- 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.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)