Öz
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.
Anahtar Kelimeler
Partial soft derivative Soft analysis Soft derivative Soft sets
Destekleyen Kurum
Çanakkale Onsekiz Mart University
Proje Numarası
FDR-2022-4206
Teşekkür
This study was supported by the Office of Scientific Research Projects Coordination at Çanakkale Onsekiz Mart University, Grant number: FDR-2022-4206.
Kaynakça
- [1] D. A. Molodtsov, Soft set theory – First results, Comput. Math. Appl., 37(4-5) (1999), 19–31.
- [2] D. A. Molodtsov, Soft Set Theory, URSS, 2004. (In Russian)
- [3] D. A. Molodtsov, A. A. Sokolov, D. V. Kovkov, Basic foundations of soft analysis, Nechetkie Sistemy i Myagkie Vychisleniya, 2(1) (2007), 5–28. (In Russian)
- [4] D. A. Molodtsov, Higher order derivatives in soft analysis, Nechetkie Sistemy i Myagkie Vychisleniya, 14(1) (2019), 34–55. (In Russian)
- [5] D. A. Molodtsov, Principles of rational analysis – Continuity of functions, Nechetkie Sistemy i Myagkie Vychisleniya, 14(2) (2019), 126–141. (In Russian)
- [6] D. A. Molodtsov, Principles of rational analysis – Derivatives and integrals, Nechetkie Sistemy i Myagkie Vychisleniya, 15(1) (2020), 5–25. (In Russian)
- [7] S. Acharjee, D. A. Molodtsov, Soft rational line integral, Vestnik Udmurtskogo Universiteta, Matematika, Mekhanika, Komp’yuternye Nauki, 31(4) (2021), 578–596.
Öz
Proje Numarası
FDR-2022-4206
Kaynakça
- [1] D. A. Molodtsov, Soft set theory – First results, Comput. Math. Appl., 37(4-5) (1999), 19–31.
- [2] D. A. Molodtsov, Soft Set Theory, URSS, 2004. (In Russian)
- [3] D. A. Molodtsov, A. A. Sokolov, D. V. Kovkov, Basic foundations of soft analysis, Nechetkie Sistemy i Myagkie Vychisleniya, 2(1) (2007), 5–28. (In Russian)
- [4] D. A. Molodtsov, Higher order derivatives in soft analysis, Nechetkie Sistemy i Myagkie Vychisleniya, 14(1) (2019), 34–55. (In Russian)
- [5] D. A. Molodtsov, Principles of rational analysis – Continuity of functions, Nechetkie Sistemy i Myagkie Vychisleniya, 14(2) (2019), 126–141. (In Russian)
- [6] D. A. Molodtsov, Principles of rational analysis – Derivatives and integrals, Nechetkie Sistemy i Myagkie Vychisleniya, 15(1) (2020), 5–25. (In Russian)
- [7] S. Acharjee, D. A. Molodtsov, Soft rational line integral, Vestnik Udmurtskogo Universiteta, Matematika, Mekhanika, Komp’yuternye Nauki, 31(4) (2021), 578–596.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Temel Matematik (Diğer) |
| Bölüm | Makaleler |
| Yazarlar | |
| Proje Numarası | FDR-2022-4206 |
| Erken Görünüm Tarihi | 9 Şubat 2024 |
| Yayımlanma Tarihi | 4 Mart 2024 |
| Gönderilme Tarihi | 23 Kasım 2023 |
| Kabul Tarihi | 30 Ocak 2024 |
| Yayımlandığı Sayı | Yıl 2024 Cilt: 7 Sayı: 1 |
Kaynak Göster
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