RELATIONAL GERAGHTY CONTRACTIONS WITH AN APPLICATION TO A SINGULAR FRACTIONAL BOUNDARY VALUE PROBLEM

Saud Fahad Aldosary; I. Uddin; S. Mujahid

doi:10.11948/20240056

RELATIONAL GERAGHTY CONTRACTIONS WITH AN APPLICATION TO A SINGULAR FRACTIONAL BOUNDARY VALUE PROBLEM

Saud Fahad Aldosary
, I. Uddin
, S. Mujahid

Mathematics

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

1 Scopus citations

Abstract

In this article, we present some results on fixed points employing relational Geraghty contractions in the setting of metric space endued with a class of transitive binary relations. Our results complement, sharpen and improve several fixed point results of literature. By means of our findings, we discuss an existence and uniqueness theorem regarding the positive solutions of certain boundary value problems associated with a singular fractional differential equations.

Original language	English
Pages (from-to)	3480-3495
Number of pages	16
Journal	Journal of Applied Analysis and Computation
Volume	14
Issue number	6
DOIs	https://doi.org/10.11948/20240056
State	Published - 2024

Keywords

binary relations
Fixed points
fractional differential equations
positive solution

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10.11948/20240056

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abstract = "In this article, we present some results on fixed points employing relational Geraghty contractions in the setting of metric space endued with a class of transitive binary relations. Our results complement, sharpen and improve several fixed point results of literature. By means of our findings, we discuss an existence and uniqueness theorem regarding the positive solutions of certain boundary value problems associated with a singular fractional differential equations.",

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KW - Fixed points

KW - fractional differential equations

KW - positive solution

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RELATIONAL GERAGHTY CONTRACTIONS WITH AN APPLICATION TO A SINGULAR FRACTIONAL BOUNDARY VALUE PROBLEM

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Keywords

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