An Implicit Hybrid Delay Functional Integral Equation: Existence of Integrable Solutions and Continuous Dependence

Ahmed M. A. El-Sayed, Hind H. G. Hashem and Shorouk M. Al-Issa
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Ahmed M. A. El-Sayed: Faculty of Science, Alexandria University, Alexandria 21544, Egypt
Hind H. G. Hashem: Faculty of Science, Alexandria University, Alexandria 21544, Egypt
Shorouk M. Al-Issa: Department of Mathematics, Faculty of Arts and Sciences, The International University of Beirut, Beirut 1107, Lebanon

Mathematics, 2021, vol. 9, issue 24, 1-14

Abstract: In this work, we are discussing the solvability of an implicit hybrid delay nonlinear functional integral equation. We prove the existence of integrable solutions by using the well known technique of measure of noncompactnes. Next, we give the sufficient conditions of the uniqueness of the solution and continuous dependence of the solution on the delay function and on some functions. Finally, we present some examples to illustrate our results.

Keywords: measure of noncompactness; darbo fixed point theorem; monotonic integrable solutions; uniqueness of the solution; continuous dependence of solution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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