Title
Nonlocal Fractional Boundary Value Problems Involving Mixed Right and Left Fractional Derivatives and Integrals.
Abstract
In this paper, we study the existence of solutions for nonlocal single and multi-valued boundary value problems involving right-Caputo and left-Riemann-Liouville fractional derivatives of different orders and right-left Riemann-Liouville fractional integrals. The existence of solutions for the single-valued case relies on Sadovskii's fixed point theorem. The first existence results for the multi-valued case are proved by applying Bohnenblust-Karlin's fixed point theorem, while the second one is based on Martelli's fixed point theorem. We also demonstrate the applications of the obtained results.
Year
DOI
Venue
2020
10.3390/axioms9020050
AXIOMS
Keywords
DocType
Volume
fractional differential equations,fractional differential inclusions,existence,fixed point theorems
Journal
9
Issue
Citations 
PageRank 
2
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
A. Alsaedi174963.55
Abrar Broom200.68
Sotiris K. Ntouyas3167.77
Bashir Ahmad401.01