On a System of Fractional Differential Equations with Coupled Integral Boundary Conditions

2015 ◽  
Vol 18 (2) ◽  
Author(s):  
Johnny Henderson ◽  
Rodica Luca ◽  
Alexandru Tudorache
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Existence And Multiplicity ◽  
Coupled Integral Boundary Conditions ◽  
Fractional Differential ◽  
Multiplicity Of Positive Solutions

AbstractWe investigate the existence and multiplicity of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations, subject to coupled integral boundary conditions. The nonsingular and singular cases are studied.

scholarly journals Existence of positive solutions for a singular nonlinear semipositone fractional differential equations with parametric dependence

Filomat ◽  
2021 ◽  
Vol 35 (4) ◽  
pp. 1141-1154
Author(s):  
Om Wanassi ◽  
Faten Toumi
Keyword(s):  
Differential Equations ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Fixed Point Theorems ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Existence And Multiplicity ◽  
Existence Of Positive Solutions ◽  
Fractional Differential ◽  
Multiplicity Of Positive Solutions

We examine the existence and multiplicity of positive solutions for a class of nonlinear semipositone fractional differential equations involving integral boundary conditions. The results are obtained in terms of different intervals of the parameters by means of the Leray-Schauder and Guo-Krasnoselskii fixed point theorems. Examples are included to verify our main results.

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