Title
Sequential Riemann-Liouville And Hadamard-Caputo Fractional Differential Systems With Nonlocal Coupled Fractional Integral Boundary Conditions
Abstract
In this paper, we initiate the study of existence of solutions for a fractional differential system which contains mixed Riemann-Liouville and Hadamard-Caputo fractional derivatives, complemented with nonlocal coupled fractional integral boundary conditions. We derive necessary conditions for the existence and uniqueness of solutions of the considered system, by using standard fixed point theorems, such as Banach contraction mapping principle and Leray-Schauder alternative. Numerical examples illustrating the obtained results are also presented.
Year
DOI
Venue
2021
10.3390/axioms10030174
AXIOMS
Keywords
DocType
Volume
coupled systems, Riemann-Liouville fractional derivative, Hadamard-Caputo fractional derivative, nonlocal boundary conditions, existence, fixed point
Journal
10
Issue
Citations 
PageRank 
3
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Chanakarn Kiataramkul100.34
Weera Yukunthorn200.34
Sotiris K. Ntouyas306.08
Jessada Tariboon401.35