Nonlinear Contractions Employing Digraphs and Comparison Functions with an Application to Singular Fractional Differential Equations
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| Wydane w: | Axioms vol. 13, no. 7 (2024), p. 477 |
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| Dostęp online: | Citation/Abstract Full Text Full Text - PDF |
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| 045 | 2 | |b d20240101 |b d20241231 | |
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| 100 | 1 | |a Filali, Doaa |u Department of Mathematical Science, College of Sciences, Princess Nourah bint Abdulrahman University, Riyadh 84428, Saudi Arabia | |
| 245 | 1 | |a Nonlinear Contractions Employing Digraphs and Comparison Functions with an Application to Singular Fractional Differential Equations | |
| 260 | |b MDPI AG |c 2024 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a 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. | |
| 653 | |a Fractional calculus | ||
| 653 | |a Metric space | ||
| 653 | |a Differential equations | ||
| 653 | |a Graph theory | ||
| 653 | |a Boundary value problems | ||
| 653 | |a Ordinary differential equations | ||
| 653 | |a Fixed points (mathematics) | ||
| 700 | 1 | |a Dilshad, Mohammad |u Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia | |
| 700 | 1 | |a Akram, Mohammad |u Department of Mathematics, Islamic University of Madinah, Madinah 42351, Saudi Arabia | |
| 773 | 0 | |t Axioms |g vol. 13, no. 7 (2024), p. 477 | |
| 786 | 0 | |d ProQuest |t Engineering Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3084721322/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text |u https://www.proquest.com/docview/3084721322/fulltext/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3084721322/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |