A Darbo fixed point theory approach towards the existence of a functional integral equation in a Banach algebra

Mausumi Sen, Dipankar Saha and R.P. Agarwal

Applied Mathematics and Computation, 2019, vol. 358, issue C, 111-118

Abstract: This paper investigates the nonlinear functional-integral equation comprising of Hadamard fractional operator. Using the concept of measure of non compactness, existence of solutions in Banach algebra has been studied under certain relevant assumptions in conjunction with fixed point theory. Finally an example has been considered to substantiate the validity of the result.

Keywords: Functional integral equation; Measure of noncompactness; Hadamard operator; Banach algebra (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:358:y:2019:i:c:p:111-118

DOI: 10.1016/j.amc.2019.04.021

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