Existence of solutions of four-point boundary value problems for fractional differential equations at resonance

2015 ◽  
Vol 51 (1-2) ◽  
pp. 145-160 ◽  
Author(s):  
Xiaosong Tang
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Fractional Differential Equations ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Point Boundary ◽  
At Resonance ◽  
Fractional Differential

scholarly journals Existence of Solutions for Two-Point Boundary Value Problem of Fractional Differential Equations at Resonance

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Lei Hu ◽  
Shuqin Zhang ◽  
Ailing Shi
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Fractional Differential Equations ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Point Boundary ◽  
At Resonance ◽  
Fractional Differential

We establish the existence results for two-point boundary value problem of fractional differential equations at resonance by means of the coincidence degree theory. Furthermore, a result on the uniqueness of solution is obtained. We give an example to demonstrate our results.

scholarly journals The Existence of Solutions to Integral Boundary Value Problems of Fractional Differential Equations at Resonance

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Yumei Zou ◽  
Guoping He
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Fractional Differential Equations ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Integral Boundary ◽  
At Resonance ◽  
Fractional Differential ◽  
Integral Boundary Value Problems

This paper deals with the integral boundary value problems of fractional differential equations at resonance. By Mawhin’s coincidence degree theory, we present some new results on the existence of solutions for a class of differential equations of fractional order with integral boundary conditions at resonance. An example is also included to illustrate the main results.

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