A remark on psi-Hilfer fractional differential equations with non-instantaneous impulses

Donal O'Regan

doi:10.1002/mma.6125

A remark on psi-Hilfer fractional differential equations with non-instantaneous impulses

Donal O'Regan

Mathematics

Ton Duc Thang University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

15 Citations (Scopus)

Abstract

We present a reasonable concept for solutions of non-instantaneous impulsive Cauchy problems with a psi-Hilfer fractional derivative. Also, we provide a new sufficient condition for the existence, uniqueness, and stability of solutions for the given problem.

Original language	English (Ireland)
Pages (from-to)	3354-3368
Number of pages	15
Journal	Mathematical Methods In The Applied Sciences
Volume	43
Issue number	6
DOIs	https://doi.org/10.1002/mma.6125
Publication status	Published - 1 Apr 2020

Keywords

counter-example
non-instantaneous impulsive problem
ψ–Hilfer fractional derivative

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Ngo, VH,O'Regan, D
Ngo, VH;O'Regan, D

Access to Document

10.1002/mma.6125

Cite this

@article{8f5297dfffe84c4f8b7d0e13328556c6,

title = "A remark on psi-Hilfer fractional differential equations with non-instantaneous impulses",

abstract = "We present a reasonable concept for solutions of non-instantaneous impulsive Cauchy problems with a psi-Hilfer fractional derivative. Also, we provide a new sufficient condition for the existence, uniqueness, and stability of solutions for the given problem.",

keywords = "counter-example, non-instantaneous impulsive problem, ψ–Hilfer fractional derivative",

author = "Donal O'Regan",

note = "Publisher Copyright: {\textcopyright} 2020 John Wiley \& Sons, Ltd.",

year = "2020",

month = apr,

day = "1",

doi = "10.1002/mma.6125",

language = "English (Ireland)",

volume = "43",

pages = "3354--3368",

journal = "Mathematical Methods In The Applied Sciences",

number = "6",

}

TY - JOUR

T1 - A remark on psi-Hilfer fractional differential equations with non-instantaneous impulses

AU - O'Regan, Donal

PY - 2020/4/1

Y1 - 2020/4/1

N2 - We present a reasonable concept for solutions of non-instantaneous impulsive Cauchy problems with a psi-Hilfer fractional derivative. Also, we provide a new sufficient condition for the existence, uniqueness, and stability of solutions for the given problem.

AB - We present a reasonable concept for solutions of non-instantaneous impulsive Cauchy problems with a psi-Hilfer fractional derivative. Also, we provide a new sufficient condition for the existence, uniqueness, and stability of solutions for the given problem.

KW - counter-example

KW - non-instantaneous impulsive problem

KW - ψ–Hilfer fractional derivative

UR - https://www.scopus.com/pages/publications/85077862832

U2 - 10.1002/mma.6125

DO - 10.1002/mma.6125

M3 - Article

VL - 43

SP - 3354

EP - 3368

JO - Mathematical Methods In The Applied Sciences

JF - Mathematical Methods In The Applied Sciences

IS - 6

ER -

A remark on psi-Hilfer fractional differential equations with non-instantaneous impulses

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

Access to Document

Other files and links

Fingerprint

Cite this