The global existence of mild solutions for semilinear fractional Cauchy problems in the α-norm

• Autorzy: Rong-Nian Wang , De-Han Chen , Yan Wang
• Języki publikacji: EN

Abstrakty

EN

We study the local and global existence of mild solutions to a class of semilinear fractional Cauchy problems in the α-norm assuming that the operator in the linear part is the generator of a compact analytic C₀-semigroup. A suitable notion of mild solution for this class of problems is also introduced. The results obtained are a generalization and continuation of some recent results on this issue.

Kategorie tematyczne

• 26A33: Fractional derivatives and integrals
• 34A08: Fractional differential equations
• 34K37: Functional-differential equations with fractional derivatives

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 103
• Numer: 2
• Strony: 161-173

Daty

wydano

2012

Twórcy

autor

Rong-Nian Wang

• Department of Mathematics, NanChang University, NanChang, JiangXi 330031, P.R. China

autor

De-Han Chen

• Department of Mathematics, NanChang University, NanChang, JiangXi 330031, P.R. China

autor

Yan Wang

• Department of Mathematics, NanChang University, NanChang, JiangXi 330031, P.R. China

Identyfikatory

DOI

10.4064/ap103-2-4