jzs-10826

A Numerical computation for solving the fractional delay differential equations via the MQ-RBF collocation method

 Yones Esmaeelzade Aghdam1*, Hamid Safdari1, Yaqub Azari1, and Siamak Banee2

 1 Faculty of Science, Shahid Rajaee Teacher Training University, Lavizan, Tehran, 16785-163  

2 Department of Applied Mathematics, University of Kurdistan, Sanandaj, Iran

*Corresponding author’s e-mail: yonesesmaeelzade@gmail.com 

Original: 21 February 2020        Revised: 17 August 2020        Accepted: 26 September 2020        Published online: 20 December 2020

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Abstract

In the paper, a numerical technique based on the multiquadric radial basis function (MQ-RBF) collocation method is presented for the fractional delay differential equations. The convergence analysis and the unique fixed point of the collocation methods are propounded in the  norm. Numerical results illustrate the credibility and applicability of the numerical technique. The obtained results are compared with those obtained by other methods.

Key Words: Collocation Scheme, Fractional Calculus, Fixed Point, MQRBF

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