"Iterative Methods and their Applications to Banach Space Valued Functi" by George A. Anastassiou and Ioannis K. Argyros

Progress in Fractional Differentiation & Applications

Article Title

Iterative Methods and their Applications to Banach Space Valued Functions in Abstract Fractional Calculus

Authors

George A. Anastassiou, Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.AFollow
Ioannis K. Argyros

Author Country (or Countries)

U.S.A

Abstract

Explicit iterative methods have been used extensively to generate a sequence approximating a solution of an equation on a Banach space setting. However, little attention has been given to the study of implicit iterative methods. We show a semi-local convergence analysis for a some general implicit and explicit iterative techniques. Illustrative applications are presented including Banach space valued functions of fractional calculus, such that all integrals are of Bochner-type.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/040105

Recommended Citation

A. Anastassiou, George and K. Argyros, Ioannis (2018) "Iterative Methods and their Applications to Banach Space Valued Functions in Abstract Fractional Calculus," Progress in Fractional Differentiation & Applications: Vol. 4: Iss. 1, Article 5.
DOI: http://dx.doi.org/10.18576/pfda/040105
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol4/iss1/5

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