Convergence of Iterative Methods in Abstract Fractional Calculus

2017 ◽  
pp. 21-39
Author(s):  
George A. Anastassiou ◽  
Ioannis K. Argyros
Keyword(s):  
Fractional Calculus ◽  
Iterative Methods

Monotone Convergence of Extended Iterative Methods and Fractional Calculus with Applications

2017 ◽  
Vol 151 (1-4) ◽  
pp. 241-253 ◽  
Author(s):  
George A. Anastassiou ◽  
Ioannis K. Argyros ◽  
Sunil Kumar
Keyword(s):  
Fractional Calculus ◽  
Iterative Methods ◽  
Monotone Convergence

scholarly journals Iterative Convergence with Banach Space Valued Functions in Abstract Fractional Calculus

2017 ◽  
Vol 55 (2) ◽  
pp. 17-31
Author(s):  
George A. Anastassiou ◽  
Ioannis K. Argyros
Keyword(s):  
Banach Space ◽  
Fractional Calculus ◽  
Convergence Analysis ◽  
Iterative Methods ◽  
Local Convergence ◽  
Local Convergence Analysis

AbstractThe goal of this paper is to present a semi-local convergence analysis for some iterative methods under generalized conditions. The operator is only assumed to be continuous and its domain is open. Applications are suggested including Banach space valued functions of fractional calculus, where all integrals are of Bochner-type.

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