A computational algorithm for the numerical solution of fractional order delay differential equations

2021 ◽  
Vol 402 ◽  
pp. 125863
Author(s):  
Rohul Amin ◽  
Kamal Shah ◽  
Muhammad Asif ◽  
Imran Khan
Keyword(s):  
Differential Equations ◽  
Numerical Solution ◽  
Fractional Order ◽  
Delay Differential Equations ◽  
Computational Algorithm ◽  
Delay Differential

scholarly journals On existence and stability results for nonlinear fractional delay differential equations

2018 ◽  
Vol 36 (4) ◽  
pp. 55-75 ◽  
Author(s):  
Kishor D. Kucche ◽  
Sagar T. Sutar
Keyword(s):  
Differential Equations ◽  
Fractional Order ◽  
Delay Differential Equations ◽  
Successive Approximation Method ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Existence And Stability ◽  
Fractional Delay ◽  
Delay Differential ◽  
Rassias Stability

We establish existence and uniqueness results for fractional order delay differential equations. It is proved that successive approximation method can also be successfully applied to study Ulam--Hyers stability, generalized Ulam--Hyers stability, Ulam--Hyers--Rassias stability, generalized Ulam--Hyers--Rassias stability, $ \mathbb{E}_{\alpha}$--Ulam--Hyers stability and generalized $ \mathbb{E}_{\alpha}$--Ulam--Hyers stability of fractional order delay differential equations.

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