Research article

Semigroup Forum

, Volume 79, Issue 3, pp 507-514

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

  • Lanying HuAffiliated withDepartment of Mathematics, Anhui Normal University
  • , Yong RenAffiliated withSchool of Mathematics, University of Tasmania Email author 
  • , R. SakthivelAffiliated withDepartment of Mathematics, Sungkyunkwan University

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

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