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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Vol. 9 > No. 2

 
   

Semilinear Abstract Cauchy Problem of Conformable Type

PP: 243-250
doi:10.18576/pfda/090205
Author(s)
Lahcene Rabhi, Mohammed Al Horani, Roshdi Khalil,
Abstract
In this paper, we discuss the solution of the semilinear conformable abstract Cauchy problem. We study the existence of mild solution using the fractional semigroups. We establish the global and local mild solutions using the concept of contraction principle. The stability and regularity of mild solutions are studied. Applications illustrating our main abstract results are also given.

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