Novel Fixed Point Results in Rectangular Gb-Metric Spaces and Some Applications on Fractional Differential Equations

Rende Ramadan; Ozgur Ege; Rajagopalan Ramaswamy

doi:10.3390/fractalfract9080527

Novel Fixed Point Results in Rectangular G_b-Metric Spaces and Some Applications on Fractional Differential Equations

Rende Ramadan
, Ozgur Ege
, Rajagopalan Ramaswamy

Mathematics

Ege University

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

Abstract

In this work, we prove some fixed point theorems in rectangular (Formula presented.) -metric space, which is the generalization of rectangular metric space and (Formula presented.) -metric space. Moreover, we give some examples to support our theoretical findings. Finally, using our main results, we present some applications to obtain solutions of Riemann–Liouville and Atangana–Baleanu fractional integral equations.

Original language	English
Article number	527
Journal	Fractal and Fractional
Volume	9
Issue number	8
DOIs	https://doi.org/10.3390/fractalfract9080527
State	Published - Aug 2025

Keywords

fixed point
fractional differential equations
Gb-metric

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10.3390/fractalfract9080527

Cite this

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title = "Novel Fixed Point Results in Rectangular Gb-Metric Spaces and Some Applications on Fractional Differential Equations",

abstract = "In this work, we prove some fixed point theorems in rectangular (Formula presented.) -metric space, which is the generalization of rectangular metric space and (Formula presented.) -metric space. Moreover, we give some examples to support our theoretical findings. Finally, using our main results, we present some applications to obtain solutions of Riemann–Liouville and Atangana–Baleanu fractional integral equations.",

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AU - Ege, Ozgur

AU - Ramaswamy, Rajagopalan

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AB - In this work, we prove some fixed point theorems in rectangular (Formula presented.) -metric space, which is the generalization of rectangular metric space and (Formula presented.) -metric space. Moreover, we give some examples to support our theoretical findings. Finally, using our main results, we present some applications to obtain solutions of Riemann–Liouville and Atangana–Baleanu fractional integral equations.

KW - fixed point

KW - fractional differential equations

KW - Gb-metric

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DO - 10.3390/fractalfract9080527

M3 - Article

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ER -

Novel Fixed Point Results in Rectangular G_b-Metric Spaces and Some Applications on Fractional Differential Equations

Abstract

Keywords

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