A solution to nonlinear Volterra integro-dynamic equations via fixed point theory | Zendy

Rezan Sevinik Adıgüzel | Zendy; Erdal Karapınar | Zendy; İncı M. Erhan | Zendy

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A 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.

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