Existence and stability analysis of nth order multi term fractional delay differential equation

2022 ◽  
Vol 155 ◽  
pp. 111709
Author(s):  
Ghaus ur Rahman ◽  
Ravi P. Agarwal ◽  
Dildar Ahmad
Keyword(s):  
Differential Equation ◽  
Stability Analysis ◽  
Delay Differential Equation ◽  
Existence And Stability ◽  
Fractional Delay ◽  
Delay Differential

scholarly journals A Specific Method for Solving Fractional Delay Differential Equation via Fraction Taylor’s Series

2022 ◽  
Vol 2022 ◽  
pp. 1-6
Author(s):  
Ming-Jing Du
Keyword(s):  
Differential Equation ◽  
Delay Differential Equation ◽  
Reproducing Kernel ◽  
Kernel Method ◽  
Approximate Solutions ◽  
Specific Method ◽  
Fractional Taylor’S Series ◽  
Fractional Delay ◽  
Delay Differential ◽  
Taylor’S Series

It is well known that the appearance of the delay in the fractional delay differential equation (FDDE) makes the convergence analysis very difficult. Dealing with the problem with the traditional reproducing kernel method (RKM) is very tricky. The feature of this paper is to gain a more credible approximate solution via fractional Taylor’s series (FTS). We use the FTS to deal with the delay for improving the accuracy of the approximate solutions. Compared with other methods, the five numerical examples demonstrate the accuracy and efficiency of the proposed method in this paper.

scholarly journals An Approximation Technique for Fractional Order Delay Differential Equations

2019 ◽  
pp. 1539-1545
Author(s):  
Olutunde Samuel Odetunde ◽  
Abass Ishola Taiwo ◽  
Olusola Adebanwo Dehinsilu
Keyword(s):  
Differential Equation ◽  
Delay Differential Equation ◽  
Decomposition Method ◽  
Convergent Series ◽  
Approximation Technique ◽  
Test Problems ◽  
Research Article ◽  
Iterative Decomposition ◽  
Fractional Delay ◽  
Delay Differential

In this research article, an Iterative Decomposition Method is applied to approximate linear and non-linear fractional delay differential equation. The method was used to express the solution of a Fractional delay differential equation in the form of a convergent series of infinite terms which can be effortlessly computable.The method requires neither discretization nor linearization. Solutions obtained for some test problems using the proposed method were compared with those obtained from some methods and the exact solutions. The outcomes showed the proposed approach is more efficient and correct.

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