Existence Results and Finite-Time Stability of a Fractional (p,q)-Integro-Difference System

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Existence Results and Finite-Time Stability of a Fractional (p,q)-Integro-Difference System. / Mesmouli, Mouataz Billah; Iambor, Loredana Florentina; Abdel Menaem, Amir et al.
In: Mathematics, Vol. 12, No. 9, 1399, 2024.

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

BibTeX

@article{d24e42517be44cfead3319cbd6004a25,

title = "Existence Results and Finite-Time Stability of a Fractional (p,q)-Integro-Difference System",

abstract = "In this article, we mainly generalize the results in the literature for a fractional q-difference equation. Our study considers a more comprehensive type of fractional (Formula presented.) -difference system of nonlinear equations. By the Banach contraction mapping principle, we obtain a unique solution. By Krasnoselskii{\textquoteright}s fixed-point theorem, we prove the existence of solutions. In addition, finite stability has been established too. The main results in the literature have been proven to be a particular corollary of our work.",

author = "Mesmouli, {Mouataz Billah} and Iambor, {Loredana Florentina} and {Abdel Menaem}, Amir and Hassan, {Taher S.}",

note = "This article was supported by the University of Oradea.",

year = "2024",

doi = "10.3390/math12091399",

language = "English",

volume = "12",

journal = "Mathematics",

issn = "2227-7390",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "9",

}

RIS

TY - JOUR

T1 - Existence Results and Finite-Time Stability of a Fractional (p,q)-Integro-Difference System

AU - Mesmouli, Mouataz Billah

AU - Iambor, Loredana Florentina

AU - Abdel Menaem, Amir

AU - Hassan, Taher S.

N1 - This article was supported by the University of Oradea.

PY - 2024

Y1 - 2024

N2 - In this article, we mainly generalize the results in the literature for a fractional q-difference equation. Our study considers a more comprehensive type of fractional (Formula presented.) -difference system of nonlinear equations. By the Banach contraction mapping principle, we obtain a unique solution. By Krasnoselskii’s fixed-point theorem, we prove the existence of solutions. In addition, finite stability has been established too. The main results in the literature have been proven to be a particular corollary of our work.

AB - In this article, we mainly generalize the results in the literature for a fractional q-difference equation. Our study considers a more comprehensive type of fractional (Formula presented.) -difference system of nonlinear equations. By the Banach contraction mapping principle, we obtain a unique solution. By Krasnoselskii’s fixed-point theorem, we prove the existence of solutions. In addition, finite stability has been established too. The main results in the literature have been proven to be a particular corollary of our work.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85193029826

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001220596200001

U2 - 10.3390/math12091399

DO - 10.3390/math12091399

M3 - Article

VL - 12

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 9

M1 - 1399

ER -

ID: 57307326