A SOLUTION TO NONLINEAR VOLTERRA INTEGRO-DYNAMIC EQUATIONS VIA FIXED POINT THEORY

Rezan Sevinik-Adiguzel, Erdal KARAPINAR, Inci ERHAN

Abstract


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 b-metric space and apply a fixed point theorem with a contractive condition involving b-comparison function. We use the theorem to show the existence of a unique solution of some particular integro-dynamic equations.


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