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arXiv · 2201.10094

Fractional Quasi-Bessel Equations

Pavel B. Dubovski·Jeffrey A. Slepoi
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Abstract

In this paper we consider fractional quasi-Bessel equations $$\sum_{i=1}^{m}d_i x^{\alpha_i+p_i}D^{\alpha_i} u(x) + (x^\beta - \nu^2)u(x)=0$$ 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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Pavel B. Dubovski, Jeffrey A. Slepoi. 2022-01-25. Fractional Quasi-Bessel Equations. https://arxiv.org/abs/2201.10094

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