Existence of mild solutions for conformable fractional differential equations with nonlocal conditions

2020 ◽  
Vol 50 (3) ◽  
pp. 871-879
Author(s):  
Mohamed Bouaouid ◽  
Khalid Hilal ◽  
Said Melliani
Author(s):  
Kexue Li ◽  
Jigen Peng ◽  
Jinghuai Gao

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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