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

被引：0
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作者：
Zeinab S. I. Mansour
机构：
[1] King Saud University,Mathematics Department, Faculty of Sciences
来源：
Fractional Calculus and Applied Analysis | 2014年 / 17卷
关键词：
nonlinear ; -integral equations; Banach fixed point theorem; Cayley-Hilbert projective metrics; Riemann-Liouville fractional ; -integral operator; Primary 34A34; Secondary 26A33, 37C25, 05A30;
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摘要：
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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页码：61 / 78
页数：17
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