Lp-solutions for a class of fractional integral equations

Ravi P. Agarwal; Asma; Vasile Lupulescu; Donal O'regan

doi:10.1216/JIE-2017-29-2-251

L^p-solutions for a class of fractional integral equations

Ravi P. Agarwal
, Asma
, Vasile Lupulescu
, Donal O'regan

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

10 Citations (Scopus)

Abstract

This paper considers the existence of L^p- solutions for a class of fractional integral equations involving abstract Volterra operators in a separable Banach space. Some applications for the existence of L^p-solutions for different classes of fractional differential equations are given.

Original language	English
Pages (from-to)	251-270
Number of pages	20
Journal	Journal of Integral Equations and Applications
Volume	29
Issue number	2
DOIs	https://doi.org/10.1216/JIE-2017-29-2-251
Publication status	Published - 2017
Externally published	Yes

Keywords

Caputo fractional derivative
Evolution equation
Nonlocal Cauchy problem

Access to Document

10.1216/JIE-2017-29-2-251

Cite this

@article{6268e9682e9144bdb75a790fc7e6eb21,

title = "Lp-solutions for a class of fractional integral equations",

abstract = "This paper considers the existence of Lp- solutions for a class of fractional integral equations involving abstract Volterra operators in a separable Banach space. Some applications for the existence of Lp-solutions for different classes of fractional differential equations are given.",

keywords = "Caputo fractional derivative, Evolution equation, Nonlocal Cauchy problem",

author = "Agarwal, \{Ravi P.\} and Asma and Vasile Lupulescu and Donal O'regan",

note = "Publisher Copyright: {\textcopyright} 2017 Rocky Mountain Mathematics Consortium.",

year = "2017",

doi = "10.1216/JIE-2017-29-2-251",

language = "English",

volume = "29",

pages = "251--270",

journal = "Journal of Integral Equations and Applications",

issn = "0897-3962",

publisher = "Rocky Mountain Mathematics Consortium",

number = "2",

}

TY - JOUR

T1 - Lp-solutions for a class of fractional integral equations

AU - Agarwal, Ravi P.

AU - Asma,

AU - Lupulescu, Vasile

AU - O'regan, Donal

PY - 2017

Y1 - 2017

N2 - This paper considers the existence of Lp- solutions for a class of fractional integral equations involving abstract Volterra operators in a separable Banach space. Some applications for the existence of Lp-solutions for different classes of fractional differential equations are given.

AB - This paper considers the existence of Lp- solutions for a class of fractional integral equations involving abstract Volterra operators in a separable Banach space. Some applications for the existence of Lp-solutions for different classes of fractional differential equations are given.

KW - Caputo fractional derivative

KW - Evolution equation

KW - Nonlocal Cauchy problem

UR - https://www.scopus.com/pages/publications/85020842230

U2 - 10.1216/JIE-2017-29-2-251

DO - 10.1216/JIE-2017-29-2-251

M3 - Article

SN - 0897-3962

VL - 29

SP - 251

EP - 270

JO - Journal of Integral Equations and Applications

JF - Journal of Integral Equations and Applications

IS - 2

ER -

L^p-solutions for a class of fractional integral equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this