Eigenvalues for iterative systems of nonlinear Caputo fractional order three point boundary value problems

2015 ◽  
Vol 52 (1-2) ◽  
pp. 157-172 ◽  
Author(s):  
Abdullah Y. Al-Hossain
Keyword(s):  
Boundary Value Problems ◽  
Fractional Order ◽  
Boundary Value ◽  
Point Boundary ◽  
Iterative Systems

scholarly journals Application of The Half-Sweep Egsor Iteration for Two-Point Boundary Value Problems of Fractional Order

2019 ◽  
Vol 4 (2) ◽  
pp. 237-243 ◽  
Author(s):  
Rostang Rahman ◽  
Nur Afza Mat Ali ◽  
Jumat Sulaiman ◽  
Fatihah Anas Muhiddin
Keyword(s):  
Boundary Value Problems ◽  
Fractional Order ◽  
Boundary Value ◽  
Point Boundary

scholarly journals Iterative numerical method for fractional order two-point boundary value problems

2021 ◽  
Vol 38 (1) ◽  
pp. 47-55
Author(s):  
ALEXANDRU MIHAI BICA ◽  
Keyword(s):  
Differential Equations ◽  
Error Estimate ◽  
Boundary Value Problems ◽  
Numerical Method ◽  
Fractional Order ◽  
Boundary Value ◽  
Point Boundary ◽  
Boundary Problems ◽  
Numerical Example

In this paper we develop an iterative numerical method based on Bernstein splines for solving two-point boundary problems associated to differential equations of fractional order $\alpha\in\left( 0,1\right) $. The convergence of the method is proved by providing the error estimate and it is tested on a numerical example.

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