Solving a fractional-order differential equation using rational symmetric contraction mappings

Hasanen A. Hammad; Praveen Agarwal; Shaher Momani; Fahad Alsharari

doi:10.3390/fractalfract5040159

Solving a fractional-order differential equation using rational symmetric contraction mappings

Hasanen A. Hammad
, Praveen Agarwal
, Shaher Momani
, Fahad Alsharari

Nonlinear Dynamic Research Centre (NDRC)

Sohag University
International College of Engineering
International Center for Basic and Applied Sciences
University of Jordan
Majmaah University
Al Jouf University

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

32 Scopus citations

Abstract

The intent of this manuscript is to present new rational symmetric ϖ − ξ-contractions and infer some fixed-points for such contractions in the setting of Θ-metric spaces. Furthermore, some related results such as Suzuki-type rational symmetric contractions, orbitally Υ-complete, and orbitally continuous mappings in Θ-metric spaces are introduced. Ultimately, the theoretical results are shared to study the existence of the solution to a fractional-order differential equation with one boundary stipulation.

Original language	English
Article number	159
Journal	Fractal and Fractional
Volume	5
Issue number	4
DOIs	https://doi.org/10.3390/fractalfract5040159
State	Published - Dec 2021

Keywords

Fixed-point
Fractional-order differential equation
Rational symmetric ϖ − ξ-contraction
Suzuki-type rational symmetric contraction
Θ-metric space

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10.3390/fractalfract5040159

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title = "Solving a fractional-order differential equation using rational symmetric contraction mappings",

abstract = "The intent of this manuscript is to present new rational symmetric ϖ − ξ-contractions and infer some fixed-points for such contractions in the setting of Θ-metric spaces. Furthermore, some related results such as Suzuki-type rational symmetric contractions, orbitally Υ-complete, and orbitally continuous mappings in Θ-metric spaces are introduced. Ultimately, the theoretical results are shared to study the existence of the solution to a fractional-order differential equation with one boundary stipulation.",

keywords = "Fixed-point, Fractional-order differential equation, Rational symmetric ϖ − ξ-contraction, Suzuki-type rational symmetric contraction, Θ-metric space",

author = "Hammad, \{Hasanen A.\} and Praveen Agarwal and Shaher Momani and Fahad Alsharari",

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AU - Agarwal, Praveen

AU - Momani, Shaher

AU - Alsharari, Fahad

PY - 2021/12

Y1 - 2021/12

N2 - The intent of this manuscript is to present new rational symmetric ϖ − ξ-contractions and infer some fixed-points for such contractions in the setting of Θ-metric spaces. Furthermore, some related results such as Suzuki-type rational symmetric contractions, orbitally Υ-complete, and orbitally continuous mappings in Θ-metric spaces are introduced. Ultimately, the theoretical results are shared to study the existence of the solution to a fractional-order differential equation with one boundary stipulation.

AB - The intent of this manuscript is to present new rational symmetric ϖ − ξ-contractions and infer some fixed-points for such contractions in the setting of Θ-metric spaces. Furthermore, some related results such as Suzuki-type rational symmetric contractions, orbitally Υ-complete, and orbitally continuous mappings in Θ-metric spaces are introduced. Ultimately, the theoretical results are shared to study the existence of the solution to a fractional-order differential equation with one boundary stipulation.

KW - Fixed-point

KW - Fractional-order differential equation

KW - Rational symmetric ϖ − ξ-contraction

KW - Suzuki-type rational symmetric contraction

KW - Θ-metric space

UR - https://www.scopus.com/pages/publications/85117299800

U2 - 10.3390/fractalfract5040159

DO - 10.3390/fractalfract5040159

M3 - Article

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JO - Fractal and Fractional

JF - Fractal and Fractional

IS - 4

M1 - 159

ER -

Solving a fractional-order differential equation using rational symmetric contraction mappings

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Keywords

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