Semigroup Forum

, 79:507

Existence and uniqueness of mild solutions for semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays

Research article

DOI: 10.1007/s00233-009-9164-y

Cite this article as:
Hu, L., Ren, Y. & Sakthivel, R. Semigroup Forum (2009) 79: 507. doi:10.1007/s00233-009-9164-y

Abstract

In this paper, we establish the existence and uniqueness of mild solutions for a class of semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays in α-norm. And the main tool is the fixed point theorem due to Sadovskii. Some known results are generalized.

Keywords

Fractional differential equation Nonlocal initial condition Fixed point theorem Mild solution 

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of MathematicsAnhui Normal UniversityWuHuChina
  2. 2.School of MathematicsUniversity of TasmaniaHobartAustralia
  3. 3.Department of MathematicsSungkyunkwan UniversitySuwonSouth Korea

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