Previous Article in Journal
On the Potential Vector Fields of Soliton-Type Equations
Previous Article in Special Issue
Stability of Fixed Points of Partial Contractivities and Fractal Surfaces
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Axioms
Volume 13
Issue 7
10.3390/axioms13070477
axioms-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite thumb_up
...
Endorse textsms
...
Comment
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Nonlinear Contractions Employing Digraphs and Comparison Functions with an Application to Singular Fractional Differential Equations

by
Doaa Filali
1,
Mohammad Dilshad
2 and
Mohammad Akram
3,*
1
Department of Mathematical Science, College of Sciences, Princess Nourah bint Abdulrahman University, Riyadh 84428, Saudi Arabia
2
Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia
3
Department of Mathematics, Islamic University of Madinah, Madinah 42351, Saudi Arabia
*
Author to whom correspondence should be addressed.
Axioms 2024, 13(7), 477; https://doi.org/10.3390/axioms13070477 (registering DOI)
Submission received: 6 June 2024 / Revised: 12 July 2024 / Accepted: 13 July 2024 / Published: 16 July 2024
(This article belongs to the Special Issue Trends in Fixed Point Theory and Fractional Calculus)
Versions Notes

Abstract

After the initiation of Jachymski’s contraction principle via digraph, the area of metric fixed point theory has attracted much attention. A number of outcomes on fixed points in the context of graph metric space employing various types of contractions have been investigated. The aim of this paper is to investigate some fixed point theorems for a class of nonlinear contractions in a metric space endued with a transitive digraph. The outcomes presented herewith improve, extend and enrich several existing results. Employing our findings, we describe the existence and uniqueness of a singular fractional boundary value problem.
Keywords: fixed points; digraphs; singular fractional differential equations fixed points; digraphs; singular fractional differential equations

Share and Cite

MDPI and ACS Style

Filali, D.; Dilshad, M.; Akram, M. Nonlinear Contractions Employing Digraphs and Comparison Functions with an Application to Singular Fractional Differential Equations. Axioms 2024, 13, 477. https://doi.org/10.3390/axioms13070477

AMA Style

Filali D, Dilshad M, Akram M. Nonlinear Contractions Employing Digraphs and Comparison Functions with an Application to Singular Fractional Differential Equations. Axioms. 2024; 13(7):477. https://doi.org/10.3390/axioms13070477

Chicago/Turabian Style

Filali, Doaa, Mohammad Dilshad, and Mohammad Akram. 2024. "Nonlinear Contractions Employing Digraphs and Comparison Functions with an Application to Singular Fractional Differential Equations" Axioms 13, no. 7: 477. https://doi.org/10.3390/axioms13070477

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop