Numerical solutions of fractional delay differential equations using Chebyshev wavelet method

Springer Science and Business Media LLC - Tập 38 - Trang 1-13 - 2019
Umar Farooq1, Hassan Khan1, Dumitru Baleanu2,3, Muhammad Arif1
1Department of Mathematics, Abdul Wali Khan University Mardan (AWKUM), Mardan, Pakistan
2Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara, Turkey
3Institute of Space Sciences, Magurele-Bucharest, Romania

Tóm tắt

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.

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