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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.

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Authors and Affiliations

  1. Department of Mathematics, Abdul Wali Khan University Mardan (AWKUM), Mardan, Pakistan

    Umar Farooq, Hassan Khan & Muhammad Arif

  2. Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530, Ankara, Turkey

    Dumitru Baleanu

  3. Institute of Space Sciences, Magurele-Bucharest, Romania

    Dumitru Baleanu

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  1. Umar Farooq
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  2. Hassan Khan
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  3. Dumitru Baleanu
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  4. Muhammad Arif
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Correspondence to Dumitru Baleanu.

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Communicated by José Tenreiro Machado.

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Farooq, U., Khan, H., Baleanu, D. et al. Numerical solutions of fractional delay differential equations using Chebyshev wavelet method. Comp. Appl. Math. 38, 195 (2019). https://doi.org/10.1007/s40314-019-0953-y

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