scholarly journals Existence Results for a Self-adjoint Coupled System of Nonlinear Ordinary Differential Equations with Nonlocal Non-Separated Integral Boundary Conditions

2021 ◽  
Vol 30 (9) ◽  
Author(s):  
Ahmed Alsaedi ◽  
Amal Almalki ◽  
Sotiris K Ntouyas ◽  
Bashir Ahmad ◽  
Ravi P Agarwal
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Ordinary Differential Equations ◽  
Integral Boundary Conditions ◽  
Coupled System ◽  
Existence Results ◽  
Nonlinear Ordinary Differential Equations ◽  
Integral Boundary

scholarly journals Existence and Uniqueness Results for a Coupled System of Caputo-Hadamard Fractional Differential Equations with Nonlocal Hadamard Type Integral Boundary Conditions

2020 ◽  
Vol 4 (2) ◽  
pp. 13 ◽  
Author(s):  
Shorog Aljoudi ◽  
Bashir Ahmad ◽  
Ahmed Alsaedi
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Fractional Differential Equations ◽  
Existence And Uniqueness ◽  
Nonlocal Boundary ◽  
Integral Boundary Conditions ◽  
Coupled System ◽  
Integral Boundary ◽  
Uniqueness Results ◽  
Fractional Differential

In this paper, we study a coupled system of Caputo-Hadamard type sequential fractional differential equations supplemented with nonlocal boundary conditions involving Hadamard fractional integrals. The sufficient criteria ensuring the existence and uniqueness of solutions for the given problem are obtained. We make use of the Leray-Schauder alternative and contraction mapping principle to derive the desired results. Illustrative examples for the main results are also presented.

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