Putting an End to the Physical Initial Conditions of the Caputo Derivative: The Infinite State Solution

Putting an End to the Physical Initial Conditions of the Caputo Derivative: The Infinite State Solution

In this paper, a counter-example based on a realistic initial condition invalidates the usual approach related to the so-called physical initial condition of the Caputo derivative used to solve fractional-order Cauchy problems. Due to Infinite State representation, we prove that the initial conditio...

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Bibliographic Details
Main Authors: Jean-Claude Trigeassou, Nezha Maamri
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Fractal and Fractional
Subjects:
fractional-order Cauchy problem
Caputo derivative
Mittag–Leffler function
infinite state representation
fractional integrator
frequency-distributed model
Online Access:https://www.mdpi.com/2504-3110/9/4/252
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