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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Vydáno v:	Physica. D Ročník 462; s. 134139
Hlavní autor:	Jornet, Marc
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier B.V 01.06.2024
Témata:	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
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