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Stability analysis of a coupled system of nonlinear implicit fractional anti‐periodic boundary value problem
Author(s) -
Wang JinRong,
Zada Akbar,
Waheed Hira
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.5773
Subject(s) - mathematics , uniqueness , stability (learning theory) , nonlinear system , fixed point theorem , boundary value problem , mathematical analysis , boundary (topology) , fixed point , physics , quantum mechanics , machine learning , computer science
In this article, we study the existence and uniqueness of solution for a coupled system of nonlinear implicit fractional anti‐periodic boundary value problem. Further, we investigate different kinds of stability such as Ulam‐Hyers stability, generalized Ulam‐Hyers stability, Ulam‐Hyers‐Rassias stability, and generalized Ulam‐Hyers‐Rassias stability. We develop conditions for existence and uniqueness by using the classical fixed point theorem. Also, two examples are provided to illustrate the obtained results.