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Mathematics > Classical Analysis and ODEs

arXiv:2411.19411 (math)
[Submitted on 28 Nov 2024]

Title:Generalization of the Painlevé Property and Existence and Uniqueness in Fractional Differential Equations

Authors:Michał Fiedorowicz
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Abstract:In this paper, the Painlevé property to fractional differential equations (FDEs) are extended and the existence and uniqueness theorems for both linear and nonlinear FDEs are established. The results contribute to the research of integrability and solvability in the context of fractional calculus, which has significant implications in various fields such as physics, engineering, and applied sciences. By bridging the gap between pure mathematical theory and practical applications, this work provides a foundational understanding that can be utilized in modeling phenomena exhibiting memory and hereditary properties.
Subjects: Classical Analysis and ODEs (math.CA); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Dynamical Systems (math.DS); Exactly Solvable and Integrable Systems (nlin.SI)
Cite as: arXiv:2411.19411 [math.CA]
  (or arXiv:2411.19411v1 [math.CA] for this version)
  https://doi.org/10.48550/arXiv.2411.19411

Submission history

From: Michał Fiedorowicz [view email]
[v1] Thu, 28 Nov 2024 23:33:46 UTC (336 KB)
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