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.
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页码：215 / 227
页数：12
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