Solvability of Fractional Differential Equations with p-Laplacian and Functional Boundary Value Conditions at Resonance

2021 ◽  
Vol 19 (1) ◽  
Author(s):  
Bingzhi Sun ◽  
Weihua Jiang ◽  
Shuqin Zhang
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Boundary Value ◽  
At Resonance ◽  
Functional Boundary ◽  
Fractional Differential

scholarly journals Impulsive Problems for Fractional Differential Equations with Functional Boundary Value Conditions at Resonance

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Bingzhi Sun ◽  
Shuqin Zhang ◽  
Weihua Jiang
Keyword(s):  
Differential Equations ◽  
Banach Spaces ◽  
Fractional Differential Equations ◽  
Boundary Value ◽  
Degree Theory ◽  
At Resonance ◽  
Impulsive Problems ◽  
Functional Boundary ◽  
Fractional Differential

We establish novel results on the existence of impulsive problems for fractional differential equations with functional boundary value conditions at resonance with dim⁡Ker L=1. Our results are based on the degree theory due to Mawhin, which requires appropriate Banach spaces and suitable projection schemes.

scholarly journals The Existence of Solutions for Four-Point Coupled Boundary Value Problems of Fractional Differential Equations at Resonance

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Yumei Zou ◽  
Lishan Liu ◽  
Yujun Cui
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Fractional Differential Equations ◽  
Existence Of Solutions ◽  
Existence Theorems ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Degree Theory ◽  
At Resonance ◽  
Fractional Differential

A four-point coupled boundary value problem of fractional differential equations is studied. Based on Mawhin’s coincidence degree theory, some existence theorems are obtained in the case of resonance.

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.

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