Open AccessA solution to nonlinear Volterra integro-dynamic equations via fixed point theory
Author(s) -
Rezan Sevinik-Adıgüzel,
Erdal Karapınar,
İncı M. Erhan
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1916331s
Subject(s) - mathematics , uniqueness , fixed point theorem , nonlinear system , dynamic equation , fixed point , type (biology) , volterra integral equation , volterra equations , mathematical analysis , space (punctuation) , function (biology) , integral equation , computer science , ecology , physics , quantum mechanics , evolutionary biology , biology , operating system
In this paper we discuss the existence and uniqueness of solutions of a certain type of nonlinear Volterra integro-dynamic equations on time scales. We investigate the problem in the setting of a complete bmetric space and apply a fixed point theorem with a contractive condition involving b-comparison function. We use the theoremto show the existence of a unique solution of some particular integro-dynamic equations.