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arXiv · 1608.04827

Well-Posedness of some nonlinear Volterra-Fredholm integral and integro-dynamic equations on time scales

Alaa E. Hamza·Ahmed G. Ghallab
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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.

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Alaa E. Hamza, Ahmed G. Ghallab. 2016-08-17. Well-Posedness of some nonlinear Volterra-Fredholm integral and integro-dynamic equations on time scales. https://arxiv.org/abs/1608.04827

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