论文标题
分数准贝塞尔方程
Fractional Quasi-Bessel Equations
论文作者
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.