A multiple point boundary smoothing algorithm

1998 ◽  
Vol 19 (8) ◽  
pp. 657-668 ◽  
Author(s):  
Jianming Hu ◽  
Donggang Yu ◽  
Hong Yan
Keyword(s):  
Multiple Point ◽  
Smoothing Algorithm ◽  
Point Boundary ◽  
Boundary Smoothing

scholarly journals Positive Solutions to n-Order Fractional Differential Equation with Parameter

2018 ◽  
Vol 2018 ◽  
pp. 1-6
Author(s):  
Jing-jing Tan ◽  
Cong Tan ◽  
Xueling Zhou
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Fractional Differential Equations ◽  
Existence And Uniqueness ◽  
Iterative Scheme ◽  
Multiple Point ◽  
Point Boundary ◽  
Practical Application ◽  
Uniqueness Of Solutions ◽  
Fractional Differential

By employing the properties of the sum operators, we investigate the solutions of the n-order fractional differential equations multiple point boundary value problem (in short BVP) with the boundary conditions contains a parameter. We not only obtain the existence and uniqueness of solutions about this BVP but also construct an iterative scheme to approximate the solution which is important for practical application. An example is given to demonstrate the validity of our main results.

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