scholarly journals Approximate iterative sequences for positive solutions of a Hadamard type fractional differential system involving Hadamard type fractional derivatives

2021 ◽  
Vol 6 (7) ◽  
pp. 7229-7250
Author(s):  
Yaohong Li ◽  
◽  
Jiafa Xu ◽  
Honglin Luo ◽  
Keyword(s):  
Positive Solutions ◽  
Differential System ◽  
Fractional Derivatives ◽  
Fractional Differential System ◽  
Fractional Differential

scholarly journals Positive Solutions to a Coupled Fractional Differential System with p-Laplacian Operator

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Yuehan Liu ◽  
Xiaodi Zhao ◽  
Huihui Pang
Keyword(s):  
Fixed Point ◽  
Positive Solutions ◽  
Differential System ◽  
Fractional Derivatives ◽  
Existence Result ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Laplacian Operator ◽  
Fractional Differential System ◽  
Fractional Differential

In this paper, we consider a fractional differential system with multistrip and multipoint mixed boundary conditions involving p-Laplacian operator and fractional derivatives. The existence result of positive solutions is established by the Leggett-Williams fixed point theorem. Also, an example is presented to illustrate our main result.

scholarly journals Positive Solutions for(n-1,1)-Type Singular Fractional Differential System with Coupled Integral Boundary Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Ying Wang ◽  
Lishan Liu ◽  
Xinguang Zhang ◽  
Yonghong Wu
Keyword(s):  
Boundary Conditions ◽  
Positive Solutions ◽  
Differential System ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Fractional Differential System ◽  
Coupled Integral Boundary Conditions ◽  
Existence Of Positive Solutions ◽  
Singular Fractional Differential System ◽  
Fractional Differential

We study the positive solutions of the(n-1,1)-type fractional differential system with coupled integral boundary conditions. The conditions for the existence of positive solutions to the system are established. In addition, we derive explicit formulae for the estimation of the positive solutions and obtain the unique positive solution when certain additional conditions hold. An example is then given to demonstrate the validity of our main results.

Sign in / Sign up

Export Citation Format

Share Document