On the Existence of Solutions of a Perturbed Functional Integral Equation in the Space of Lebesgue Integrable Functions on ℝ+

Journal Title: Journal of Mathematics and Applications - Year 2018, Vol 41, Issue

Abstract

In this paper, we investigate and study the existence of solutions for perturbed functional integral equations of convolution type using Darbo's fixed point theorem, which is associated with the measure of noncompactness in the space of Lebesgue integrable functions on ℝ+. Finally, we offer an example to demonstrate that our abstract result is applicable.

Authors and Affiliations

Waad Al Sayed, Mohamed Abdalla Darwish

Keywords

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  • EP ID EP426879
  • DOI 10.7862/rf.2018.2
  • Views 55
  • Downloads 0

How To Cite

Waad Al Sayed, Mohamed Abdalla Darwish (2018). On the Existence of Solutions of a Perturbed Functional Integral Equation in the Space of Lebesgue Integrable Functions on ℝ+. Journal of Mathematics and Applications, 41(), 19-27. https://europub.co.uk/articles/-A-426879