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Updated: Jun 11, 2025

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Investigating fractal fractional PDEs, electric circuits, and integral inclusions via (ψ,ϕ)-rational type
Khaled Aldwoah1, Syed Khayyam Shah2, Sadam Hussain2
1Department of Mathematics, Faculty of Science, Islamic University of Madinah, Medinah, Saudi Arabia.
Abstract:
The fixed point theory has been generalized mainly in two directions. One is the extension of the spaces, and the other is relaxing and generalizing the contractions. This paper aims to establish novel fixed point results of rational type generalized -contractions in the context of extended b-metric spaces. This will allow us to analyze generalized rational type contraction in a more relaxed and diversified framework in the light of the characteristics of . Some existing rational-type contractions have been recalled in this direction, and others are defined. New fixed point results have been established by utilizing the properties of and and applying the iteration technique. Moreover, the established results are employed to investigate the stability of fractal and fractional differential equations and electric circuits. For the reliability of the established results, examples and applications to the system of integral inclusions and system of integral equations are presented.
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