Initial value problems for Caputo fractional equations with singular nonlinearities

Autor: Jeffrey R. L. Webb
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2019, Iss 117,, Pp 1-32 (2019)
Druh dokumentu: article
ISSN: 1072-6691
Popis: We consider initial value problems for Caputo fractional equations of the form $D_{C}^{\alpha}u=f$ where f can have a singularity. We consider all orders and prove equivalences with Volterra integral equations in classical spaces such as $C^{m}[0,T]$. In particular for the case $1
Databáze: Directory of Open Access Journals