Uniqueness of solution for higher-order fractional differential equations with conjugate type integral conditions

2017 ◽  
Vol 20 (6) ◽  
Author(s):  
Xingqiu Zhang ◽  
Qiuyan Zhong
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Lipschitz Constant ◽  
Higher Order ◽  
Uniqueness Of Solution ◽  
Integral Conditions ◽  
Contraction Map ◽  
Type Integral ◽  
Fractional Differential ◽  
Conjugate Type

AbstractIn this article, we prove the existence and uniqueness of solution for some higher-order fractional differential equations with conjugate type integral conditions. The interesting point lies in that the Lipschitz constant is closely associated with the first eigenvalues corresponding to the relevant linear operator. The discussion is based on the Banach contraction map principle and the theory of

scholarly journals Existence of Uniqueness and Nonexistence Results of Positive Solution for Fractional Differential Equations Integral Boundary Value Problems

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Yongqing Wang
Keyword(s):  
Differential Equations ◽  
Positive Solution ◽  
Fractional Differential Equations ◽  
Integral Conditions ◽  
Interesting Point ◽  
Integral Boundary ◽  
Type Integral ◽  
Fractional Differential ◽  
Integral Boundary Value Problems ◽  
Conjugate Type

In this paper, we consider a class of fractional differential equations with conjugate type integral conditions. Both the existence of uniqueness and nonexistence of positive solution are obtained by means of the iterative technique. The interesting point lies in that the assumption on nonlinearity is closely associated with the spectral radius corresponding to the relevant linear operator.

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