Multiplicative derivative and its basic properties on time scales

被引：9

作者：

Goktas, Sertac ^{[1
]}

Yilmaz, Emrah ^{[2
]}

Cigdem, Ayse ^{[2
]}

机构：

[1] Mersin Univ, Fac Sci & Letters, Dept Math, Mersin, Turkey

[2] Firat Univ, Fac Sci, Dept Math, Elazig, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 04期

关键词：

time scale; multiplicative calculus; CALCULUS;

D O I：

10.1002/mma.7910

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define the multiplicative derivative and its properties on time scales. Then, we restate many concepts for multiplicative analysis such as derivative, Rolle's theorem, mean value theorem, and increasing-decreasing property on time scales. We aim to create important fields of study by carrying this most important issue of multiplicative analysis, which has applications in economics, finance and many other fields, to time scale calculus.

引用

页码：2097 / 2109

页数：13

共 22 条

[1] A multivalued logarithm on time scales
Anderson, Douglas R.
Bohner, Martin
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2021, 397
[2] AULBACH B, 1990, COLLOQ MATH SOC J B, V53, P37
[3] Aygar Y, 2015, Applied Mathematics and Information Sciences, V9, P1725
[4] Bashirov A, 2011, TWMS J APPL ENG MATH, V1, P75
[5] Multiplicative calculus and its applications
Bashirov, Agamirza E.
Kurpinar, Emine Misirli
Ozyapici, Ali
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (01) : 36 - 48
[6] On modeling with multiplicative differential equations
Bashirov, Agamirza E.
Misirli, Emine
Tandogdu, Yucel
Ozyapici, Ali
[J]. APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2011, 26 (04) : 425 - 438
[7] Bohner M., 2001, Dynamic Equations on Time Scales: An Introduction with Applications, DOI DOI 10.1007/978-1-4612-0201-1
[8] Bohner M., 2003, Advances in Dynamic Equations on Time Scales: An Introduction with Applications, DOI DOI 10.1007/978-0-8176-8230-9
[9] Inverse Problems for Sturm-Liouville Difference Equations
Bohner, Martin
Koyunbakan, Hikmet
[J]. FILOMAT, 2016, 30 (05) : 1297 - 1304
[10] Boruah K, 2018, TWMS J APPL ENG MATH, V8, P94

← 1 2 3 →