EQUIVALENCE OF INITIALIZED RIEMANN-LIOUVILLE AND CAPUTO DERIVATIVES

DOI10.11948/20190317zbMath1457.34019arXiv1811.11537OpenAlexW3110722041MaRDI QIDQ5858060

Guozhong Xiu, Jian Yuan, Song Gao, Bao Shi

Publication date: 9 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.11537

zbMATH Keywords

fractional calculusdiffusive representationequivalence of fractional derivativesinitialized fractional derivatives

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Unnamed Item
• State variables and transients of fractional order differential systems
• How to impose physically coherent initial conditions to a fractional system?
• System initial conditions vs derivative initial conditions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Effect of the initial ramps of creep and relaxation tests on models with fractional derivatives
• Dynamics and control of initialized fractional-order systems
• Analysis and description of the infinite-dimensional nature for nabla discrete fractional order systems
• Analysis, Modeling and Stability of Fractional Order Differential Systems 1

This page was built for publication: EQUIVALENCE OF INITIALIZED RIEMANN-LIOUVILLE AND CAPUTO DERIVATIVES