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Nonlinear impulsive Langevin equation with mixed derivatives
Author(s) -
Rizwan Rizwan,
Zada Akbar
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5902
Subject(s) - mathematics , uniqueness , nonlinear system , langevin equation , fixed point theorem , mathematical analysis , boundary value problem , stability (learning theory) , space (punctuation) , fixed point , metric (unit) , statistical physics , physics , quantum mechanics , linguistics , philosophy , operations management , machine learning , computer science , economics
In this paper, we consider a nonlocal boundary value problem of nonlinear impulsive Langevin equation 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 Diaz‐Margolis' fixed‐point approach over generalized complete metric space. We give an example that supports our main result.