On the existence for parametric boundary value problems of a coupled system of nonlinear fractional hybrid differential equations

2021 ◽  
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Coupled System ◽  
Hybrid Differential Equations

scholarly journals Results for Mild solution of fractional coupled hybrid boundary value problems

2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Dumitru Baleanu ◽  
Hossein Jafari ◽  
Hasib Khan ◽  
Sarah Jane Johnston
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Fractional Order ◽  
Mild Solution ◽  
Fractional Differential Equations ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Coupled System ◽  
Banach Contraction ◽  
Fractional Differential

AbstractThe study of coupled system of hybrid fractional differential equations (HFDEs) needs the attention of scientists for the exploration of its different important aspects. Our aim in this paper is to study the existence and uniqueness of mild solution (EUMS) of a coupled system of HFDEs. The novelty of this work is the study of a coupled system of fractional order hybrid boundary value problems (HBVP) with n initial and boundary hybrid conditions. For this purpose, we are utilizing some classical results, Leray–Schauder Alternative (LSA) and Banach Contraction Principle (BCP). Some examples are given for the illustration of applications of our results.

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