scholarly journals On mild solutions to fractional differential equations with nonlocal conditions

2011 ◽  
pp. 1-13 ◽  
Author(s):  
Lizhen Chen ◽  
Zhenbin Fan
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Mild Solutions ◽  
Nonlocal Conditions ◽  
Fractional Differential

Existence results for semilinear fractional differential equations via Kuratowski measure of noncompactness

2012 ◽  
Vol 15 (4) ◽  
Author(s):  
Kexue Li ◽  
Jigen Peng ◽  
Jinghuai Gao
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Measure Of Noncompactness ◽  
Fixed Point Theory ◽  
Mild Solutions ◽  
Nonlocal Conditions ◽  
Point Theory ◽  
Kuratowski Measure Of Noncompactness ◽  
Condensing Operator ◽  
Fractional Differential

AbstractIn this paper, we study the existence of mild solutions for a class of semilinear fractional differential equations with nonlocal conditions in Banach spaces. The results are obtained by using convex-power condensing operator and fixed point theory. An example is presented to illustrate the main result.

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