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Existence results for nonlinear quadratic integral equations of fractional order in Banach algebra

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Abstract

We present an existence theorem for at least one continuous solution for a nonlinear quadratic functional integral equation of fractional order. Also, a general quadratic integral of fractional order will be considered.

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Authors and Affiliations

  1. Faculty of Science, Alexandria University, El-Shatby, Aflaton St., Alexandria, Egypt

    Ahmed El-Sayed & Hind Hashem

  2. Faculty of Science, Qassim University, P. O. Box 6644, Buraidah, 81999, Saudi Arabia

    Hind Hashem

Authors
  1. Ahmed El-Sayed
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  2. Hind Hashem
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Correspondence to Ahmed El-Sayed.

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El-Sayed, A., Hashem, H. Existence results for nonlinear quadratic integral equations of fractional order in Banach algebra. fcaa 16, 816–826 (2013). https://doi.org/10.2478/s13540-013-0051-6

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  • DOI: https://doi.org/10.2478/s13540-013-0051-6

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