Application of Fixed Points in Bipolar Controlled Metric Space to Solve Fractional Differential Equation

Application of Fixed Points in Bipolar Controlled Metric Space to Solve Fractional Differential Equation

Fixed point results and metric fixed point theory play a vital role to find the unique solution to differential and integral equations. Likewise, fractal calculus has vast physical applications. In this article, we introduce the concept of bipolar-controlled metric space and prove fixed point theore...

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Bibliographic Details
Main Authors: Gunaseelan Mani, Rajagopalan Ramaswamy, Arul Joseph Gnanaprakasam, Amr Elsonbaty, Ola A. Ashour Abdelnaby, Stojan Radenović
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Fractal and Fractional
Subjects:
bipolar metric space
bipolar-controlled metric space
fixed point
covariant map
contravariant map
Online Access:https://www.mdpi.com/2504-3110/7/3/242

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