Nondecreasing solutions of fractional quadratic integral equations involving Erdélyi-Kober singular kernels
Słowa kluczowe
Fractional quadratic integral equations, Erdélyi-Kober singular kernels, nondecreasing solutions, measure of noncompactnessAbstrakt
In this paper, we firstly present the existence of nondecreasing solutions of a fractional quadratic integral equations involving Erdélyi-Kober singular kernels for three provided parameters $\alpha\in ({1}/{2},1)$, $\beta\in (0,1]$ and $\gamma\in [\beta(1-\alpha)-1,\infty)$. Moreover, we prove this restriction on $\alpha$ and $\beta$ can not be improved. Secondly, we obtain the uniqueness and nonuniqueness of the monotonic solutions by utilizing a weakly singular integral inequality and putting $\gamma\in [{1}/{2}-\alpha,\infty)$. Finally, two numerical examples are given to illustrate the obtained results.Pobrania
Opublikowane
2016-04-12
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1.
XIN, Jie, ZHU, Chun, WANG, JinRong & CHEN, Fulai. Nondecreasing solutions of fractional quadratic integral equations involving Erdélyi-Kober singular kernels. Topological Methods in Nonlinear Analysis [online]. 12 kwiecień 2016, T. 44, nr 1, s. 73–88. [udostępniono 22.7.2024].
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