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Analytical and numerical study for an integro-differential nonlinear volterra equation with weakly singular kernel

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Abstract

We study the existence and the uniqueness of the solution of an integro-differential nonlinear Volterra equation with a weakly singular kernel, then using a product integration method with piecewise projection we approximate the solution of this equation.

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Acknowledgements

We are very grateful to the editor and the reviewers for their help and patience. The authors wish to thank Miss. Hala BRAHIMI for her valuable help and remarks.

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Authors and Affiliations

  1. Université 8 Mai 1945 Guelma, B.P. 401, 24000, Guelma, Algeria

    Mourad Ghiat & Hamza Guebbai

Authors
  1. Mourad Ghiat
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  2. Hamza Guebbai
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Corresponding author

Correspondence to Hamza Guebbai.

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Communicated by Antonio José Silva Neto.

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Ghiat, M., Guebbai, H. Analytical and numerical study for an integro-differential nonlinear volterra equation with weakly singular kernel. Comp. Appl. Math. 37, 4661–4674 (2018). https://doi.org/10.1007/s40314-018-0597-3

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  • DOI: https://doi.org/10.1007/s40314-018-0597-3

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