scholarly journals Existence and uniqueness of positive solutions for integral boundary problems of nonlinear fractional differential equations with p -Laplacian operator

2014 ◽  
Vol 44 (3) ◽  
pp. 953-974 ◽  
Author(s):  
Sihua Liang ◽  
Jihui Zhang
Keyword(s):  
Differential Equations ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Existence And Uniqueness ◽  
Laplacian Operator ◽  
Boundary Problems ◽  
Integral Boundary ◽  
Nonlinear Fractional Differential Equations ◽  
Fractional Differential

scholarly journals Existence Results for a Class of p-Laplacian Fractional Differential Equations with Integral Boundary Conditions

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
SunAe Pak ◽  
KumSong Jong ◽  
KyuNam O ◽  
HuiChol Choi
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Existence And Uniqueness ◽  
Integral Boundary Conditions ◽  
Contraction Mapping Principle ◽  
Laplacian Operator ◽  
Uniqueness Of Solutions ◽  
Integral Boundary ◽  
Uniqueness Results ◽  
Fractional Differential

In this paper, we investigate the existence and uniqueness of solutions for a class of integral boundary value problems of nonlinear fractional differential equations with p-Laplacian operator. We obtain some existence and uniqueness results concerned with our problem by using Schaefer’s fixed-point theorem and Banach contraction mapping principle. Finally, we present some examples to illustrate our main results.

scholarly journals Existence and Uniqueness of Positive Solutions for a New System of Fractional Differential Equations

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Hongyu Li ◽  
Yang Chen
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Existence And Uniqueness ◽  
Integral Boundary Conditions ◽  
Stieltjes Integral ◽  
Integral Boundary ◽  
Fractional Differential ◽  
New System

By virtue of a recent existing fixed point theorem of increasing φ−h,e-concave operator by Zhai and Wang, we consider the existence and uniqueness of positive solutions for a new system of Caputo-type fractional differential equations with Riemann–Stieltjes integral boundary conditions.

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