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Generalized Liouville–Caputo Fractional Differential Equations and Inclusions with Nonlocal Generalized Fractional Integral and Multipoint Boundary Conditions

Authors :
Ahmed Alsaedi
Madeaha Alghanmi
Bashir Ahmad
Sotiris K. Ntouyas
Source :
Symmetry, Vol 10, Iss 12, p 667 (2018)
Publication Year :
2018
Publisher :
MDPI AG, 2018.

Abstract

We develop the existence criteria for solutions of Liouville⁻Caputo-type generalized fractional differential equations and inclusions equipped with nonlocal generalized fractional integral and multipoint boundary conditions. Modern techniques of functional analysis are employed to derive the main results. Examples illustrating the main results are also presented. It is imperative to mention that our results correspond to the ones for a symmetric second-order nonlocal multipoint integral boundary value problem under suitable conditions (see the last section).

Details

Language :
English
ISSN :
20738994
Volume :
10
Issue :
12
Database :
Directory of Open Access Journals
Journal :
Symmetry
Publication Type :
Academic Journal
Accession number :
edsdoj.f776cd9309443ccbe0432ebcc75159e
Document Type :
article
Full Text :
https://doi.org/10.3390/sym10120667