On the Oscillation of Three Dimensional Katugampola Fractional Delay Differential Systems

2018/10/18 by A. Kilicman, V. Sadhasivam, Kilicman, A. +5
Mathematics · #34A08 #34A34 #34K11 #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #math.CA #msc:34A08 #msc:34A34 #msc:34K11

paper · pdf · doi:10.48550/arxiv.1810.13235

20 pages

arxiv created 2018/10/18 · openalex publication_date 2018/10/18 · arxiv updated 2018/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this study, we consider the three dimensional α-fractional nonlinear delay differential system of the form D^α(u(t))=p(t)g(v(σ(t))),
D^α(v(t))=-q(t)h(w(t))),
D^α(w(t))= r(t)f(u(τ(t))),~ t ≥ t₀, where 0 < α≤ 1, D^α denotes the Katugampola fractional derivative of order α. We have established some new oscillation criteria of solutions of differential system by using generalized Riccati transformation and inequality technique. The obtained results are illustrated with suitable examples.

Citations

• A New Fractional Derivative with Classical Properties

Related

• New oscillation criteria for third-order half-linear advanced differential equations
• Some Results on the Solutions of Caputo Fractional Linear Time-Invariant Systems of any order with Internal Point Delays
• Existence and stability analysis of solution for fractional delay differential equations
• Analysis of a Class of Two-delay Fractional Differential Equation
• Existence and Stability of Fractional Differential Equations Involving Generalized Katugampola Derivative