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

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...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 358; pp. 111 - 118
Main Authors:	Sen, Mausumi, Saha, Dipankar, Agarwal, R.P.
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01-10-2019
Subjects:	Banach algebra Functional integral equation Hadamard operator Measure of noncompactness 45G10 Measure of noncompactness Banach algebra Functional integral equation 47H09 45M99 Hadamard operator
Online Access:	Get full text
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Summary:	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.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2019.04.021