Multiplicative Volterra Integral Equations And The Relationship Between Multiplicative Differential Equations

Authors : Nihan GÜNGÖR, Hatice DURMAZ

Pages : 9-25

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Publication Date : 2020-10-30

Article Type : Research Paper

Abstract :In this study, the multiplicative Volterra integral equation is defined by using the concept of multiplicative integral. The solution of multiplicative Volterra integral equation of the second kind is researched by using the successive approximations method with respect to the multiplicative calculus and the necessary conditions for the continuity and uniqueness of the solution are given. The main purpose of this study is to investigate the relationship of the multiplicative integral equations with the multiplicative differential equations.
Keywords : Multiplicative calculus, Multiplicative differential equations, Multiplicative Volterra integral equations, Succesive approximations method