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ON SOLUTION OF BG-VOLTERRA INTEGRAL EQUATIONS

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Date

2023

Author

Nihan, Güngör

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ON SOLUTION OF BG-VOLTERRA INTEGRAL EQUATIONS Güngör N. Send mail to Güngör N. Save all to author list a Gumushane University, Faculty of Engineering and Naturel Sciences, Department of Mathematical Engineering, Gumushane, Turkey

Abstract

In this study, we center upon obtaining the solution of linear bigeometric Volterra integral equations of the second kind in the sense of bigeometric calculus. The method of successive substitutions and resolvent kernel method are applied for solving the linear bigeometric Volterra integral equations of the second kind by using the concept of bigeometric integral. The necessary conditions for the bigeometric continuity and the uniqueness of the solution of linear bigeometric Volterra integral equations of the second kind are given in these methods. Finally, some numerical examples are presented to explain the procedure of the method of successive substitutions and resolvent kernel method © Işık University, Department of Mathematics, 2023; all rights reserved.

Volume

13

Issue

1

URI

https://www.scopus.com/record/display.uri?eid=2-s2.0-85146798704&origin=SingleRecordEmailAlert&dgcid=raven_sc_affil_en_us_email&txGid=439ca7fac63ad119a5b256d1c13a14ac
https://hdl.handle.net/20.500.12440/5820

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