Short Communication

Applicable Multiplicative Calculus Using Multiplicative Modulus Function

Volume: 2 Number: 2 December 20, 2019
EN

Applicable Multiplicative Calculus Using Multiplicative Modulus Function

Abstract

The classical calculus is viewed as additive calculus based on addition in the real line.  Another known multiplicative calculus corresponding to multiplication in the positive real axis has been precisely introduced.  Abstract multiplicative integration through positive measures has been newly introduced.  Results of multiplicative differentiation and integration have been obtained for completion, when some of them have been obtained through multiplicative modulus function. Results have been obtained also for abstract multiplicative measure integration.

Keywords

Supporting Institution

RUSA-Phase 2.0 grant

Project Number

letter No.F 24-51/2014-U, Policy (TN Multi-Gen),

Thanks

Dr. C. Ganesa Moorthy (Professor, Department of Mathematics, Alagappa University, Karaikudi- 630003, INDIA) gratefully acknowledges the joint financial support of RUSA-Phase 2.0 grant sanctioned vide letter No.F 24-51/2014-U, Policy (TN Multi-Gen), Dept. of Edn. Govt. of India, Dt. 09.10.2018, UGC-SAP (DRS-I) vide letter No.F.510/8/DRS-I/2016 (SAP-I) Dt. 23.08.2016 and DST (FIST - level I) 657876570 vide letter No.SR/FIST/MS-I/2018-17 Dt. 20.12.2018.

References

  1. [1] A. E. Bashirov, E. M. Kurpinar, A. Ozyapici, Multiplicative calculus and its applications, J. Math. Anal. Appl., 337 (2008), 36-48.
  2. [2] C. G. Moorthy, Infinite products using multiplicative modulus function, Math. Student, 88(3&4) (2019), 39-54.
  3. [3] M. Grossman, R. Katz, Non-Newtonian Calculus, Les Press, Pigeon Cove, MA, 1972.
  4. [4] U. Kadak, M. Ozl¨uk, Generalized Runge-Kutta method with respect to nonNewtonian calculus, Abst. Appl. Anal., (2015), Article ID 594685, 10 pages.
  5. [5] A. Uzer, Multiplicative type complex calculus as an alternative to the classical calculus, Comput. Math. Appl., 60 (2010), 2725-2737.
  6. [6] N. Yalcin, E. Celik, A. Gokdogan, Multiplicative Laplace transform and its applications, Optik, 127(20) (2016), 9984-9995.
  7. [7] T. Abadeljawad, On multiplicative fractional calculus, (2015), arXiv:1510.04176v1[math.CA].
  8. [8] D. Aniszewska, Multiplicative Runge-Kutta method, Non-Linear Dyn., 50(2007), 265-272.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Short Communication

Publication Date

December 20, 2019

Submission Date

October 7, 2019

Acceptance Date

December 18, 2019

Published in Issue

Year 2019 Volume: 2 Number: 2

APA
C., G. M. (2019). Applicable Multiplicative Calculus Using Multiplicative Modulus Function. Fundamental Journal of Mathematics and Applications, 2(2), 195-199. https://doi.org/10.33401/fujma.630045
AMA
1.C. GM. Applicable Multiplicative Calculus Using Multiplicative Modulus Function. Fundam. J. Math. Appl. 2019;2(2):195-199. doi:10.33401/fujma.630045
Chicago
C., Ganesa Moorthy. 2019. “Applicable Multiplicative Calculus Using Multiplicative Modulus Function”. Fundamental Journal of Mathematics and Applications 2 (2): 195-99. https://doi.org/10.33401/fujma.630045.
EndNote
C. GM (December 1, 2019) Applicable Multiplicative Calculus Using Multiplicative Modulus Function. Fundamental Journal of Mathematics and Applications 2 2 195–199.
IEEE
[1]G. M. C., “Applicable Multiplicative Calculus Using Multiplicative Modulus Function”, Fundam. J. Math. Appl., vol. 2, no. 2, pp. 195–199, Dec. 2019, doi: 10.33401/fujma.630045.
ISNAD
C., Ganesa Moorthy. “Applicable Multiplicative Calculus Using Multiplicative Modulus Function”. Fundamental Journal of Mathematics and Applications 2/2 (December 1, 2019): 195-199. https://doi.org/10.33401/fujma.630045.
JAMA
1.C. GM. Applicable Multiplicative Calculus Using Multiplicative Modulus Function. Fundam. J. Math. Appl. 2019;2:195–199.
MLA
C., Ganesa Moorthy. “Applicable Multiplicative Calculus Using Multiplicative Modulus Function”. Fundamental Journal of Mathematics and Applications, vol. 2, no. 2, Dec. 2019, pp. 195-9, doi:10.33401/fujma.630045.
Vancouver
1.Ganesa Moorthy C. Applicable Multiplicative Calculus Using Multiplicative Modulus Function. Fundam. J. Math. Appl. 2019 Dec. 1;2(2):195-9. doi:10.33401/fujma.630045

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