The g-operational calculus

Endre Pap, Djurdjica Takači, Arpad Takači

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The g-operator field was introduced using the g-calculus, analogously to the classical field of Mikusinski operators. The results enabled the solving of a certain nonlinear partial differential equation (PDE) of the Burgers type in a wider framework of the generalized functions. The solution of homogeneous equation was finally obtained which was an operational function in the general case.

Original languageEnglish
Pages (from-to)75-88
Number of pages14
JournalInternational Journal of Uncertainty, Fuzziness and Knowlege-Based Systems
Volume10
Issue numberSUPPL.
DOIs
Publication statusPublished - Dec 1 2002

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Keywords

  • Burgers equation
  • Pseudo-addition
  • Pseudo-multiplication
  • g-calculus

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Information Systems
  • Artificial Intelligence

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