On the solvability of a nonlinear functional integral equations via measure of noncompactness in


  • Wagdy G. El-Sayed Faculty of Science, Alexandria University, Alexandria, Egypt https://orcid.org/0000-0003-3527-0206
  • Mahmoud M. El-Borai Faculty of Science, Alexandria University, Alexandria, Egypt
  • Mohamed M.A. Metwali Department of mathematics, Faculty of Science, Damanhour Universty, Egypt
  • Nagwa I. Shemais Department of mathematics, Faculty of Science, Damanhour Universty, Egypt




functional integral equation, Darbo’s fixed point theorem, measure of noncompactnes; existence, fixed point


Using the technique of a suitable measure of non-compactness and the Darbo fixed point theorem, we investigate the existence of a nonlinear functional integral equation of Urysohn type in the space of Lebesgue integrable functions Lp(RN). In this space, we show that our functional-integral equation has at least one solution. Finally, an example is also discussed to indicate the natural realizations of our abstract result.


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How to Cite

El-Sayed, W. G. ., El-Borai, M. M. ., Metwali, M. M., & Shemais, N. I. . (2020). On the solvability of a nonlinear functional integral equations via measure of noncompactness in. JOURNAL OF ADVANCES IN MATHEMATICS, 19, 74–88. https://doi.org/10.24297/jam.v19i.8885




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