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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