论文标题

分数准贝塞尔方程

Fractional Quasi-Bessel Equations

论文作者

Dubovski, Pavel B., Slepoi, Jeffrey A.

论文摘要

在本文中,我们考虑了分数准贝塞尔方程$$ \ sum_ {i = 1}^{m} d_i x^{α_i + p_i} d^{α_i} u(x) +(x^β-β-ν^2)我们的方法使我们能够为包括cauchy-euler和恒定方程在内的一类分数微分方程获得新的结果。

In this paper we consider fractional quasi-Bessel equations $$\sum_{i=1}^{m}d_i x^{α_i+p_i}D^{α_i} u(x) + (x^β- ν^2)u(x)=0$$ and construct their existence and uniqueness theory in the class of fractional series. Our methodology allows us to obtain new results for a broad class of fractional differential equations including Cauchy-Euler and constant-coefficient equations.

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