On the Cauchy-Kovalevskaya theorem for Caputo fractional differential equations

We aim at proving the Cauchy-Kovalevskaya theorem for systems of nonlinear fractional differential equations in the Caputo sense, not necessarily polynomial or compartmental. Essentially, the theorem states that if the input function has a Taylor series, then the solution can be locally expressed as...

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Veröffentlicht in:	Physica. D Jg. 462; S. 134139
1. Verfasser:	Jornet, Marc
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier B.V 01.06.2024
Schlagworte:	Analytical solution Cauchy-Kovalevskaya theorem Convergent power series Fractional differential equation Implicit-function theorem Vector function Fractional differential equation Implicit-function theorem Convergent power series Cauchy-Kovalevskaya theorem Analytical solution Vector function
ISSN:	0167-2789, 1872-8022
Online-Zugang:	Volltext
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