Spline collocation methods for systems of fuzzy fractional differential equations

2020 ◽  
Vol 131 ◽  
pp. 109510 ◽  
Author(s):  
Zahra Alijani ◽  
Dumitru Baleanu ◽  
Babak Shiri ◽  
Guo-Cheng Wu
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Collocation Methods ◽  
Spline Collocation ◽  
Fractional Differential ◽  
Fuzzy Fractional Differential Equations

scholarly journals Multivalue Collocation Methods for Ordinary and Fractional Differential Equations

Mathematics ◽  
2022 ◽  
Vol 10 (2) ◽  
pp. 185
Author(s):  
Angelamaria Cardone ◽  
Dajana Conte ◽  
Raffaele D’Ambrosio ◽  
Beatrice Paternoster
Keyword(s):  
Stability Analysis ◽  
Differential Equations ◽  
Numerical Solution ◽  
Ordinary Differential Equations ◽  
Fractional Differential Equations ◽  
Numerical Experiments ◽  
Collocation Methods ◽  
Spline Collocation ◽  
Fractional Differential ◽  
Convergence And Stability Analysis

The present paper illustrates some classes of multivalue methods for the numerical solution of ordinary and fractional differential equations. In particular, it focuses on two-step and mixed collocation methods, Nordsieck GLM collocation methods for ordinary differential equations, and on two-step spline collocation methods for fractional differential equations. The construction of the methods together with the convergence and stability analysis are reported and some numerical experiments are carried out to show the efficiency of the proposed methods.

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