Fractional Differential Equations with the General Fractional Derivatives of Arbitrary Order in the Riemann–Liouville Sense

In this paper, we first consider the general fractional derivatives of arbitrary order defined in the Riemann–Liouville sense. In particular, we deduce an explicit form of their null space and prove the second fundamental theorem of fractional calculus that leads to a closed form formula for their p...

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Detalhes bibliográficos

Autor principal:	Yuri Luchko
Formato:	Artigo
Idioma:	Inglês
Publicado em:	MDPI AG 2022-03-01
coleção:	Mathematics
Assuntos:	Sonine kernel Sonine condition general fractional integral general fractional derivative of arbitrary order fundamental theorems of fractional calculus operational calculus
Acesso em linha:	https://www.mdpi.com/2227-7390/10/6/849
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