An existence result for a class of nonlinear integral equations of fractional orders
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Articles
Ravi P. P. Agarwala
Texas A&M University-Kingsville, USA
Bessem Samet
King Saud University, Saudi Arabia
Published 2016-09-26
https://doi.org/10.15388/NA.2016.5.10
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Keywords

integral equation
fractional
measure of non-compactness
Darbo's theorem

How to Cite

Agarwala, R.P.P. and Samet, B. (2016) “An existence result for a class of nonlinear integral equations of fractional orders”, Nonlinear Analysis: Modelling and Control, 21(5), pp. 716–729. doi:10.15388/NA.2016.5.10.

Abstract

Using a measure of non-compactness argument, we study in this paper the existence of solutions for a class of functional equations involving a fractional integral with respect to another function. Some examples are presented to illustrate the obtained results.

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