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Numerical simulation for coupled systems of nonlinear fractional order integro-differential equations via wavelets method

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  • Wang, Jiao
  • Xu, Tian-Zhou
  • Wei, Yan-Qiao
  • Xie, Jia-Quan

Abstract

In this paper, a new method for solving coupled systems of nonlinear fractional order integro-differential equations is proposed. The idea is to use Bernoulli wavelets and operational matrix. The main purpose of the technique is to transform the studied systems of fractional order integro-differential equations into systems of algebraic equations which can be solved easily. Illustrative examples and comparisons with Haar wavelets and Legendre wavelets are included to reveal the effectiveness of the method and the accuracy of the convergence analysis.

Suggested Citation

  • Wang, Jiao & Xu, Tian-Zhou & Wei, Yan-Qiao & Xie, Jia-Quan, 2018. "Numerical simulation for coupled systems of nonlinear fractional order integro-differential equations via wavelets method," Applied Mathematics and Computation, Elsevier, vol. 324(C), pages 36-50.
    • Handle: RePEc:eee:apmaco:v:324:y:2018:i:c:p:36-50
    DOI: 10.1016/j.amc.2017.12.010
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    References listed on IDEAS

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    1. Rana, Sourav & Bhattacharya, Sabyasachi & Pal, Joydeep & N’Guérékata, Gaston M. & Chattopadhyay, Joydev, 2013. "Paradox of enrichment: A fractional differential approach with memory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3610-3621.
    2. Arikoglu, Aytac & Ozkol, Ibrahim, 2009. "Solution of fractional integro-differential equations by using fractional differential transform method," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 521-529.
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    Cited by:

    1. Sunil Kumar & Ali Ahmadian & Ranbir Kumar & Devendra Kumar & Jagdev Singh & Dumitru Baleanu & Mehdi Salimi, 2020. "An Efficient Numerical Method for Fractional SIR Epidemic Model of Infectious Disease by Using Bernstein Wavelets," Mathematics, MDPI, vol. 8(4), pages 1-22, April.

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