Terminal Value Problem for Differential Equations with Hilfer–Katugampola Fractional Derivative

We present in this work the existence results and uniqueness of solutions for a class of boundary value problems of terminal type for fractional differential equations with the Hilfer–Katugampola fractional derivative. The reasoning is mainly based upon different types of classical fixed point theor...

Full description

Saved in:
Bibliographic Details
Published in:Symmetry (Basel) 2019-05, Vol.11 (5), p.672
Main Authors: Benchohra, Mouffak, Bouriah, Soufyane, Nieto, Juan J.
Format: Article
Language:English
Subjects:
Banach spaces
Boundary value problems
Differential equations
existence
fixed point
Fixed points (mathematics)
Hilfer–Katugampola fractional derivative
Mathematical analysis
Ordinary differential equations
terminal value problem
uniqueness
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present in this work the existence results and uniqueness of solutions for a class of boundary value problems of terminal type for fractional differential equations with the Hilfer–Katugampola fractional derivative. The reasoning is mainly based upon different types of classical fixed point theory such as the Banach contraction principle and Krasnoselskii’s fixed point theorem. We illustrate our main findings, with a particular case example included to show the applicability of our outcomes.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym11050672