Existence of mild solutions for fractional evolution equations with nonlocal initial conditions

• Autorzy: Pengyu Chen , Yongxiang Li , Qiang Li
• Języki publikacji: EN

Abstrakty

EN

This paper discusses the existence of mild solutions for a class of semilinear fractional evolution equations with nonlocal initial conditions in an arbitrary Banach space. We assume that the linear part generates an equicontinuous semigroup, and the nonlinear part satisfies noncompactness measure conditions and appropriate growth conditions. An example to illustrate the applications of the abstract result is also given.

Kategorie tematyczne

• 47D06: One-parameter semigroups and linear evolution equations
• 34A08: Fractional differential equations
• 35R11: Fractional partial differential equations
• 34G20: Nonlinear equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 110
• Numer: 1
• Strony: 13-24

Daty

wydano

2014

Twórcy

autor

Pengyu Chen

• Department of Mathematics, Northwest Normal University, Lanzhou 730070, People's Republic of China

autor

Yongxiang Li

• Department of Mathematics, Northwest Normal University, Lanzhou 730070, People's Republic of China

autor

Qiang Li

• Department of Mathematics, Northwest Normal University, Lanzhou 730070, People's Republic of China

Identyfikatory

DOI

10.4064/ap110-1-2