scholarly journals Existence of solutions for a coupled system of nonlinear fractional differential equations at resonance

2021 ◽  
pp. 1-13
Author(s):  
Hanying Feng ◽  
Xiaofeng Zhang
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Existence Of Solutions ◽  
Coupled System ◽  
Nonlinear Fractional Differential Equations ◽  
At Resonance ◽  
Fractional Differential

scholarly journals A Coupled System of Nonlinear Fractional Differential Equations with Multipoint Fractional Boundary Conditions on an Unbounded Domain

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Guotao Wang ◽  
Bashir Ahmad ◽  
Lihong Zhang
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Unbounded Domain ◽  
Fractional Differential Equations ◽  
Fixed Point Theorems ◽  
Existence Of Solutions ◽  
Coupled System ◽  
Nonlinear Fractional Differential Equations ◽  
Fractional Differential ◽  
Fractional Boundary Conditions

This paper investigates the existence of solutions for a coupled system of nonlinear fractional differential equations withm-point fractional boundary conditions on an unbounded domain. Some standard fixed point theorems are applied to obtain the main results. The paper concludes with two illustrative examples.

scholarly journals Solvability for Multi-Point BVP of Nonlinear Fractional Differential Equations at Resonance with Three Dimensional Kernels

2021 ◽  
Vol 45 (5) ◽  
pp. 761-780
Author(s):  
ZIDANE BAITICHE ◽  
◽  
MAAMAR BENBACHIR ◽  
KADDOUR GUERBATI
Keyword(s):  
Differential Operator ◽  
Differential Equations ◽  
Fractional Differential Equations ◽  
Existence Of Solutions ◽  
Three Dimensional ◽  
Nonlinear Fractional Differential Equations ◽  
At Resonance ◽  
Fractional Differential Operator ◽  
Fractional Differential

This work deals with the BVP multi-point existence of solutions of a nonlinear fractional differential equations at resonance, where the kernel’s dimension of the fractional differential operator is equal to three. Our results are based on Mawhin’s theory of coincidence. As application, we give an example to illustrate our results.

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