Abstract
Initialization of Riemann-Liouville and Caputo fractional derivatives remains an open research topic. These fractional derivatives are fundamentally related to fractional integration operators, so their initial conditions are the initial state vector of the associated fractional integrators. The paper is intended to propose an automatic initialization technique for practical calculation of the Caputo fractional derivative. Indirectly, this algorithm provides and efficient estimate of the initial state vector. Numerical simulations show the efficiency of the proposed initialization technique and provide interpretations of the long range memory phenomenon which is the main feature of fractional systems.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.