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

Saud Fahad Aldosary; I. Uddin; S. Mujahid

doi:10.11948/20240056

2024 Volume 14 Issue 6

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Saud Fahad Aldosary, I. Uddin, S. Mujahid. RELATIONAL GERAGHTY CONTRACTIONS WITH AN APPLICATION TO A SINGULAR FRACTIONAL BOUNDARY VALUE PROBLEM[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3480-3495. doi: 10.11948/20240056

Citation:

Saud Fahad Aldosary, I. Uddin, S. Mujahid. RELATIONAL GERAGHTY CONTRACTIONS WITH AN APPLICATION TO A SINGULAR FRACTIONAL BOUNDARY VALUE PROBLEM[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3480-3495. doi: 10.11948/20240056

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

1.
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj-11942, Saudi Arabia
2.
Department of Mathematics, Jamia Miilia Islamia, New Delhi-110025, India
3.
Mathematics Research Center, Department of Mathematics, Near East University, Near East Boulevard, RNC Mersin 10, Nicosia 99138, Turkey

Author Bio: Email: izharuddin1@jmi.ac.in(I. Uddin); Email: mujahidsamad721@gmail.com(S. Mujahid)
Corresponding author: Email: sau.aldosary@psau.edu.sa (S. F. Aldosary)
Fund Project: This research was funded by Prince Sattam bin Abdulaziz University, Saudi Arabia grant number No PSAU/2023/01/26134

Abstract

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.
- Fixed points /
- binary relations /
- fractional differential equations /
- positive solution
MSC: 47H10, 54H25, 34A08, 54E35, 06A75

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References

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