Generalized g-Fractional Calculus of Canavati-Type and Secant-Like Methods

被引：0

作者：

Anastassiou G.A. ^{[1
]}

Argyros I.K. ^{[2
]}

机构：

[1] Department of Mathematical Sciences, University of Memphis, Memphis, 38152, TN

[2] Department of Mathematical Sciences, Cameron University, Lawton, 73505, Ok

来源：

International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / 3期

关键词：

Banach space; Fractional calculus; Generalized fractional derivatives; Secant-like method; Semilocal-local convergence;

D O I：

10.1007/s40819-016-0214-3

中图分类号：

学科分类号：

摘要：

We present local and semilocal convergence results for secant-like methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Finally, we present some applications from generalized g-fractional calculus involving Canavati-type functions. © 2016, Springer India Pvt. Ltd.

引用

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页码：1605 / 1617

页数：12

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