A+ CATEGORY SCIENTIFIC UNIT

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

Volume 110 / 2014

Pengyu Chen, Yongxiang Li, Qiang Li Annales Polonici Mathematici 110 (2014), 13-24 MSC: Primary 34A08; Secondary 34G20, 35R11, 47D06. DOI: 10.4064/ap110-1-2

Abstract

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.

Authors

  • Pengyu ChenDepartment of Mathematics
    Northwest Normal University
    Lanzhou 730070, People's Republic of China
    e-mail
  • Yongxiang LiDepartment of Mathematics
    Northwest Normal University
    Lanzhou 730070, People's Republic of China
    e-mail
  • Qiang LiDepartment of Mathematics
    Northwest Normal University
    Lanzhou 730070, People's Republic of China
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image