scholarly journals POSITIVE SOLUTIONS IN THE SPACE OF LIPSCHITZ FUNCTIONS TO A CLASS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE-POINT BOUNDARY VALUE CONDITIONS

2021 ◽  
Vol 11 (2) ◽  
pp. 1039-1050
Author(s):  
Josefa Caballero ◽  
◽  
Belén López ◽  
Kishin Sadarangani
Keyword(s):  
Differential Equations ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Boundary Value ◽  
Lipschitz Functions ◽  
Point Boundary ◽  
Infinite Point ◽  
Fractional Differential

scholarly journals Triple positive solutions for semipositone fractional differential equations m-point boundary value problems with singularities and p–q-order derivatives

2018 ◽  
Vol 23 (6) ◽  
pp. 889-903 ◽  
Author(s):  
Xingqiu Zhang ◽  
Zhuyan Shao ◽  
Qiuyan Zhong ◽  
Zengqin Zhao
Keyword(s):  
Differential Equations ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Point Boundary ◽  
Height Functions ◽  
Triple Positive Solutions ◽  
Fractional Differential ◽  
Bounded Sets

In this paper, by means of Leggett–Williams and Guo–Krasnosel'skii fixed point theorems, together with height functions of the nonlinearity on different bounded sets, triple positive solutions are obtained for some fractional differential equations with p–q-order derivatives involved in multi-point boundary value conditions. The nonlinearity may not only take negative infinity but also may permit singularities on both the time and the space variables.

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