On a fractional integral equation of periodic functions involving Weyl-Riesz operator in Banach algebras

Shaher Momani; Rabha W. Ibrahim

doi:10.1016/j.jmaa.2007.08.001

On a fractional integral equation of periodic functions involving Weyl-Riesz operator in Banach algebras

Shaher Momani
, Rabha W. Ibrahim

University of Mutah

Research output: Contribution to journal › Article › peer-review

59 Scopus citations

Abstract

In this paper, we study the existence of periodic solutions for a nonlinear integral equation of periodic functions involving Weyl-Riesz fractional integral operator under the mixed generalized Lipschitz, Carathéodory and monotonicity conditions. The fixed point theorems due to Dhage are the main tool in carrying out our proofs.

Original language	English
Pages (from-to)	1210-1219
Number of pages	10
Journal	Journal of Mathematical Analysis and Applications
Volume	339
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2007.08.001
State	Published - 15 Mar 2008
Externally published	Yes

Keywords

Fractional integral equation
Hammerstein type
Periodic solutions
Weyl-Riesz operators

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10.1016/j.jmaa.2007.08.001

Cite this

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title = "On a fractional integral equation of periodic functions involving Weyl-Riesz operator in Banach algebras",

abstract = "In this paper, we study the existence of periodic solutions for a nonlinear integral equation of periodic functions involving Weyl-Riesz fractional integral operator under the mixed generalized Lipschitz, Carath{\'e}odory and monotonicity conditions. The fixed point theorems due to Dhage are the main tool in carrying out our proofs.",

keywords = "Fractional integral equation, Hammerstein type, Periodic solutions, Weyl-Riesz operators",

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T1 - On a fractional integral equation of periodic functions involving Weyl-Riesz operator in Banach algebras

AU - Momani, Shaher

AU - Ibrahim, Rabha W.

PY - 2008/3/15

Y1 - 2008/3/15

N2 - In this paper, we study the existence of periodic solutions for a nonlinear integral equation of periodic functions involving Weyl-Riesz fractional integral operator under the mixed generalized Lipschitz, Carathéodory and monotonicity conditions. The fixed point theorems due to Dhage are the main tool in carrying out our proofs.

AB - In this paper, we study the existence of periodic solutions for a nonlinear integral equation of periodic functions involving Weyl-Riesz fractional integral operator under the mixed generalized Lipschitz, Carathéodory and monotonicity conditions. The fixed point theorems due to Dhage are the main tool in carrying out our proofs.

KW - Fractional integral equation

KW - Hammerstein type

KW - Periodic solutions

KW - Weyl-Riesz operators

UR - https://www.scopus.com/pages/publications/35348959430

U2 - 10.1016/j.jmaa.2007.08.001

DO - 10.1016/j.jmaa.2007.08.001

M3 - Article

AN - SCOPUS:35348959430

SN - 0022-247X

VL - 339

SP - 1210

EP - 1219

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

On a fractional integral equation of periodic functions involving Weyl-Riesz operator in Banach algebras

Abstract

Keywords

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