scholarly journals Error estimate in fractional differential equations using multiquadratic radial basis functions

2013 ◽  
Vol 245 ◽  
pp. 133-147 ◽  
Author(s):  
B. Fakhr Kazemi ◽  
F. Ghoreishi
Keyword(s):  
Differential Equations ◽  
Error Estimate ◽  
Radial Basis Functions ◽  
Fractional Differential Equations ◽  
Basis Functions ◽  
Radial Basis ◽  
Fractional Differential

scholarly journals A conformable calculus of radial basis functions and its applications

2018 ◽  
Vol 8 (2) ◽  
pp. 176-182 ◽  
Author(s):  
Fuat Usta
Keyword(s):  
Differential Equations ◽  
Fractional Calculus ◽  
Collocation Method ◽  
Radial Basis Functions ◽  
Fractional Differential Equations ◽  
Numerical Scheme ◽  
Basis Functions ◽  
Radial Basis ◽  
Conformable Derivatives ◽  
Fractional Differential

In this paper we introduced the conformable derivatives and integrals of radial basis functions (RBF) to solve conformable fractional differential equations via RBF collocation method. For that, firstly, we found the conformable derivatives and integrals of power, Gaussian and multiquadric basis functions utilizing the rule of conformable fractional calculus. Then by using these derivatives and integrals we provide a numerical scheme to solve conformable fractional differential equations. Finally we presents some numerical results to confirmed our method

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