Open AccessBielecki–Ulam–Hyers stability of non–linear Volterra impulsive integro–delay dynamic systems on time scales
Author(s) -
Syed Bilal Hussain Shah,
Akbar Zada,
Cemil Tunç,
Azmat Ali
Publication year - 2021
Publication title -
the punjab university journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 1016-2526
DOI - 10.52280/pujm.2021.530504
Subject(s) - lipschitz continuity , stability (learning theory) , mathematics , dynamic equation , fixed point , control theory (sociology) , mathematical analysis , nonlinear system , computer science , physics , control (management) , quantum mechanics , machine learning , artificial intelligence
In this manuscript, the stability in terms of Bielecki–Ulam–Hyers and stability in terms of Bielecki–Ulam–Hyers–Rassias of non–linear Volterra impulsive integro–delay dynamic systems on time scalesare obtained using the fixed point approach along with Gronwall inequal- ¨ity and Lipschitz condition.