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On the Solutions of a Delay Functional Integral Equation of Volterra–Stieltjes Type

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Abstract

In this work, a delay functional integral equation of Volterra–Stieltjes type and an initial value problem of a delay integro-differential equation of Volterra–Stieltjes type will be considered. We study the existence of at least one or exact one solution. The continuous dependent of the unique solution will be proved.

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Authors and Affiliations

  1. Faculty of Science, Alexandria University, Alexandria, Egypt

    A. M. A. El-Sayed

  2. Faculty of Science, Omar Al-Mukhtar University, Al Bayda, Libya

    Y. M. Y. Omar

Authors
  1. A. M. A. El-Sayed
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  2. Y. M. Y. Omar
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Correspondence to Y. M. Y. Omar.

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El-Sayed, A.M.A., Omar, Y.M.Y. On the Solutions of a Delay Functional Integral Equation of Volterra–Stieltjes Type. Int. J. Appl. Comput. Math 6, 8 (2020). https://doi.org/10.1007/s40819-019-0757-1

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  • DOI: https://doi.org/10.1007/s40819-019-0757-1

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