Existence results for fractional functional integrodifferential equations with nonlocal conditions in Banach spaces

• Autorzy: Zuomao Yan
• Języki publikacji: EN

Abstrakty

EN

The paper establishes a sufficient condition for the existence of mild solutions of fractional functional integrodifferential equations with nonlocal conditions in Banach spaces. Our approach is based on Schaefer's fixed point theorem combined with the use of strongly continuous operator semigroups. As an application, we also consider a fractional partial functional integrodifferential equation.

Kategorie tematyczne

• 34A08: Fractional differential equations
• 34K30: Equations in abstract spaces
• 34K37: Functional-differential equations with fractional derivatives
• 34G20: Nonlinear equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 97
• Numer: 3
• Strony: 285-299

Daty

wydano

2010

Twórcy

autor

Zuomao Yan

• Department of Mathematics, Hexi University, Zhangye, Gansu 734000, P.R. China

Identyfikatory

DOI

10.4064/ap97-3-7