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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Vol. 2 > No. 1

 
   

Upper and Lower Solutions to a Coupled System of Nonlinear Fractional Differential Equations

PP: 31-39
doi:10.18576/pfda/020104
Author(s)
Kamal Shah, Hammad Khalil, Rahmat Ali Khan,
Abstract
In this article, we investigate upper and lower solutions to a system of coupled nonlinear fractional differential equations with multi-point coupled boundary conditions. Using monotone type iterative techniques combined with the upper and lower solutions method, some necessary and sufficient conditions are developed to guarantee existence of multiple solutions of the problem. The main result is demonstrated by analyzing two test problems.

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