Existence of Solutions of Impulsive Anti-periodic Type Boundary Value Problems for Singular Fractional Differential Systems

2017 ◽  
Vol 26 (4) ◽  
pp. 293-313
Author(s):  
Yuji Liu
Keyword(s):  
Boundary Value Problems ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Differential Systems ◽  
Fractional Differential Systems ◽  
Fractional Differential ◽  
Type Boundary

scholarly journals New existence results for solutions of BVPs for higher order IFDEs involving Riemann-Liouville type Hadamard fractional derivatives

Filomat ◽  
2018 ◽  
Vol 32 (11) ◽  
pp. 3957-3991
Author(s):  
Yuji Liu ◽  
Xiaohui Yang
Keyword(s):  
Fixed Point ◽  
Boundary Value Problems ◽  
Fractional Derivatives ◽  
Boundary Value ◽  
Existence Results ◽  
Liouville Type ◽  
Differential Systems ◽  
Fractional Differential Systems ◽  
Integral Systems ◽  
Fractional Differential

In this article, we present a method for converting boundary value problems for impulsive fractional differential systems involving the Riemann-Liouville type Hadamard fractional derivatives to integral systems. The existence results for solutions of this kind of boundary value problems are established. Our analysis relies on the well known fixed point theorem. Some comments on recent published papers are made at the end of the paper.

scholarly journals Existence Results and the Monotone Iterative Technique for Nonlinear Fractional Differential Systems with Coupled Four-Point Boundary Value Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Yujun Cui ◽  
Yumei Zou
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Upper And Lower Solutions ◽  
Monotone Iterative Technique ◽  
Iterative Technique ◽  
Point Boundary ◽  
Differential Systems ◽  
Monotone Iterative ◽  
Fractional Differential Systems ◽  
Fractional Differential

By establishing a comparison result and using the monotone iterative technique combined with the method of upper and lower solutions, we investigate the existence of solutions for nonlinear fractional differential systems with coupled four-point boundary value problems.

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