Progress in Fractional Differentiation & Applications
Article Title
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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