Multiplicative calculus and its applications

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:337

Article

Bashirov, Agamirza E.^2,3  Kurpinar, Emine Misirli¹  Ozyapici, Ali¹ 

[1] Ege Univ, Dept Math, Izmir, Turkey

[2] Eastern Mediterranean Univ, Dept Math, Gazimagusa 10, Mersin, Turkey

[3] Natl Acad Sci, Inst Cybernet, AZ-1141 Baku, Azerbaijan

关键词: calculus;    derivative;    integral;    limit;    semigroup;    differential equation;    calculus of variations;   

DOI  :  10.1016/j.jmaa.2007.03.081

来源: Elsevier

【 摘 要 】

Two operations, differentiation and integration, are basic in calculus and analysis. In fact, they are the infinitesimal versions of the subtraction and addition operations on numbers, respectively. In the period from 1967 till 1970 Michael Grossman and Robert Katz gave definitions of a new kind of derivative and integral, moving the roles of subtraction and addition to division and multiplication, and thus established a new calculus, called multiplicative calculus. In the present paper our aim is to bring up this calculus to the attention of researchers and demonstrate its usefulness. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free