Application of new fixed point theorems on proximity spaces to fractional boundary value problem

We present two new fixed point theorems on proximity spaces using p-distance in this paper and compare them with the earlier results. Then, the existence and uniqueness of a fractional boundary value problem (FBVP) with Riemann-Liouville fractional derivatives have been established using one of these fixed point theorems.

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Publication Details

Journal
Applicable Analysis and Discrete Mathematics
Published
2026-01-01
DOI
https://doi.org/10.2298/aadm241103005q
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
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article

Application of new fixed point theorems on proximity spaces to fractional boundary value problem

İshak Altun, Muhammad Qasim
Applicable Analysis and Discrete Mathematics
Fixed Point Theorems Analysis
article

Application of new fixed point theorems on proximity spaces to fractional boundary value problem

İshak Altun, Muhammad Qasim
article en

Abstract

We present two new fixed point theorems on proximity spaces using p-distance in this paper and compare them with the earlier results. Then, the existence and uniqueness of a fractional boundary value problem (FBVP) with Riemann-Liouville fractional derivatives have been established using one of these fixed point theorems.

Applicable Analysis and Discrete Mathematics(00)
China University of Mining and Technology (CN), University of Isfahan (IR)
Reduced inequalities
Openalex Percentile: Top 8%
Fixed Point Theorems Analysis
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