The oscillatory solutions of multi-order fractional differential equations

2024/10/12 by Ha Duc Thai, Thai, H. D., H. T. Tuan +1
Mathematics · #26A33 #34A08 #34C10 #34D05 #45A05 #45G05 #Differential Equations and Numerical Methods #Dynamical Systems (math.DS) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2410.09369

openalex publication_date 2024/10/12 · openalex created_date 2024/10/20 · openalex updated_date 2026/07/28

Abstract

This paper systematically treats the asymptotic behavior of many (linear/nonlinear) classes of higher-order fractional differential equations with multiple terms. To do this, we utilize the characteristics of Caputo fractional differentiable functions, the comparison principle, counterfactual reasoning, and the spectral analysis method (concerning the integral presentations of basic solutions). Some numerical examples are also provided to demonstrate the validity of the proposed results.

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