Generalized iterative procedures and their applications to Banach space valued functions in abstract fractional calculus

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 Mathematics Sciences, Cameron University, Lawton, 73505, OK

来源：

SeMA Journal | 2018年 / 75卷 / 2期

关键词：

Banach space; Bochner-type integral; Explicit–implicit iterative method; Fractional Calculus; Semi-local convergence;

D O I：

10.1007/s40324-017-0130-4

中图分类号：

学科分类号：

摘要：

The objective in this study is to use generalized iterative procedures in order to approximate solutions of an equation on a Banach space setting. In particular, we present a semi-local convergence analysis for these methods. Some applications are suggested including Banach space valued functions of fractional calculus, where all integrals are of Bochner-type. © 2017, Sociedad Española de Matemática Aplicada.

引用

页码：215 / 227

页数：12

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