Convergence of Iterative Methods and Generalized Fractional Calculus

2015 ◽  
pp. 39-56 ◽  
Author(s):  
George A. Anastassiou ◽  
Ioannis K. Argyros
Keyword(s):  
Fractional Calculus ◽  
Iterative Methods ◽  
Generalized Fractional Calculus

Some generalized fractional calculus operators and their applications in integral equations

2012 ◽  
Vol 15 (4) ◽  
Author(s):  
Om Agrawal
Keyword(s):  
Differential Equations ◽  
Fractional Calculus ◽  
Integral Equations ◽  
Systematic Approach ◽  
Fractional Integrals ◽  
Generalized Fractional Calculus ◽  
Fractional Calculus Operators ◽  
Fractional Integrals And Derivatives ◽  
Generalized Fractional Calculus Operators

AbstractIn this paper, we survey some generalizations of fractional integrals and derivatives and present some of their properties. Using these properties, we show that many integral equations can be solved in a much elegant way. We believe that this will blur the distinction between the integral and differential equations, and provide a systematic approach for the two of these classes.

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
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