Well-Posedness of some nonlinear Volterra-Fredholm integral and integro-dynamic equations on time scales
Dynamical Systems
2016-08-18 v1
Abstract
In this paper we study well posedness of a certain nonlinear Volterra-Fredholm dynamic integral and integro-dynamic equations on unbounded interval from arbitrary time scale. We derive the time scale analogue of certain integral inequalities of Pachpatte type and using them with Banach's fixed-point theorem to establish the results.
Keywords
Cite
@article{arxiv.1608.04827,
title = {Well-Posedness of some nonlinear Volterra-Fredholm integral and integro-dynamic equations on time scales},
author = {Alaa E. Hamza and Ahmed G. Ghallab},
journal= {arXiv preprint arXiv:1608.04827},
year = {2016}
}