Functional Numerical Methods: Applications to Abstract Fractional Calculus by George A. Anastassiou & Ioannis K. Argyros

Author:George A. Anastassiou & Ioannis K. Argyros
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

where and the space of bounded linear operators from into . Other explicit methods can be found in [8, 12, 16, 17] and the references there in.

Implicit Methods [7, 10, 12, 17]:

(5.1.5)

(5.1.6)

where and We let for each .

There is a plethora on local as well as semi-local convergence results for explicit methods [1–9, 11–17]. However, the research on the convergence of implicit methods has received little attention. Authors, usually consider the fixed point problem

(5.1.7)

where

(5.1.8)

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