Numerical Solutions of Fractional Delay Differential Equations Using Chebyshev Wavelet Method

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Abstract

In the present research article, we used a new numerical technique called Chebyshev wavelet method for the numerical solutions of fractional delay differential equations. The Caputo operator is used to define fractional derivatives. The numerical results illustrate the accuracy and reliability of the proposed method. Some numerical examples presented which have shown that the computational study completely supports the compatibility of the suggested method. Similarly, a proposed algorithm can also be applied for other physical problems.

Description

Arif, Muhammad/0000-0003-1484-7643

Keywords

Fractional-Order Differential Equations, Chebyshev Wavelet Method, Caputo Operator, Chebyshev wavelet method, Caputo operator, Numerical methods for functional-differential equations, Numerical methods for initial value problems involving ordinary differential equations, fractional-order differential equations, Functional-differential equations with fractional derivatives

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0101 mathematics, 01 natural sciences

Citation

Farooq, Umar...et al. (2019). "Numerical solutions of fractional delay differential equations using Chebyshev wavelet method", Computational & Applied Mathematics, Vol. 38, No. 4.

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14

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38

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4

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18

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14

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4

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