Article

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

Agronomy Journal (impact factor: 0.73). 04/2012; 79(3):507-514. DOI:10.1007/s00233-009-9164-y pp.507-514

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.

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Keywords

delays
 
fractional order
 
main tool
 
mild solutions
 
nonlocal initial conditions
 
Sadovskii
 

Lanying Hu