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On a class of nonlinear Volterra-Fredholm q-integral equations

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Abstract

In this paper we investigate the existence and uniqueness of positive continuous solutions for a q-analogue of Volterra and Fredholm integral equations of first and second kinds. We derive the results by using three fixed point theorems introduced by Bushell in [7, 8]. Bushell derived his theorems by using the Cayley-Hilbert projective metric and Banach fixed point theorem. We also include some uniqueness criteria for the solutions of certain nonlinear q-integral equations provided that the solution exists in certain function spaces.

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  1. Mathematics Department, Faculty of Sciences, King Saud University, Riyadh, Saudi Arabia

    Zeinab S. I. Mansour

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  1. Zeinab S. I. Mansour
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Mansour, Z.S.I. On a class of nonlinear Volterra-Fredholm q-integral equations. fcaa 17, 61–78 (2014). https://doi.org/10.2478/s13540-014-0155-7

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