Wiman-Valiron method for fractional derivatives and sharp growth estimates of $α$-analytic solutions for linear fractional differential equations
Abstract
We consider a fractional linear differential equation with successive derivatives given by $ \mathbb{D}_α^{n}y+ p_{n-1}(x) \mathbb{D}_α^{n-1}y+ \dots +p_{1}(x)\mathbb{D}_αy+p_0(x)y=0$, where $\mathbb{D}_α^{j}$ is the $j$th iteration of the Caputo-Djrbashian fractional derivative of order $α>0$, $p_j$ are $α$-analytic functions for $0
Fields of Study & Subjects
Meromorphic and Entire Functions
Nonlinear Differential Equations Analysis
Fractional Differential Equations Solutions
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 10 February 2026
- Language
- EN
- Document type
- Preprint