Existence of Solutions to Integral Boundary Value Problems for the Fractional Differential Equation

2013 ◽  
Vol 15 (2) ◽  
pp. 167
Author(s):  
Mei-yue ZHANG ◽  
Wen-bin LIU
2015 ◽  
Vol 18 (1) ◽  
Author(s):  
Alberto Cabada ◽  
Zakaria Hamdi

AbstractThis paper is devoted to the study of nonlinear fractional differential equation with parameter dependence and integral boundary value conditions. In the paper various existence and multiplicity results for positive solutions are derived depending of different values of the parameter. Some illustrative examples are also discussed.


2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Yumei Zou ◽  
Guoping He

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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