Iterative methods and their applications to Banach space valued functions in abstract fractional calculus
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.
Progress in Fractional Differentiation and Applications
Anastassiou, G., & Argyros, I. (2018). Iterative methods and their applications to Banach space valued functions in abstract fractional calculus. Progress in Fractional Differentiation and Applications, 4 (1), 35-47. https://doi.org/10.18576/pfda/040105