Partial Soft Derivative

Year 2024, Volume: 7 Issue: 1, 14 - 26, 04.03.2024

Burak Arslan , Serdar Enginoğlu

https://doi.org/10.33434/cams.1395130

Abstract

The concept of soft derivative, introduced by Molodtsov in 1999, is one of the fundamental concepts in soft analysis. The handled paper defines partial soft derivative and studies some of its basic properties, such as the relation between partial soft derivative and boundedness, some basic partial soft derivative rules, e.g., sum rule, constant multiple rule, and difference rule, the relation between soft derivative and partial soft derivative, the relation between classical partial derivative and partial soft derivative, and the geometric interpretation of partial soft derivative. Moreover, it exemplifies the theoretical part of the study and provides figures for the geometric interpretation. Finally, this study discusses the need for further research.

Keywords

Partial soft derivative, Soft analysis, Soft derivative, Soft sets

Supporting Institution

Çanakkale Onsekiz Mart University

Project Number

FDR-2022-4206

Thanks

This study was supported by the Office of Scientific Research Projects Coordination at Çanakkale Onsekiz Mart University, Grant number: FDR-2022-4206.

References

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