The g-operational calculus

Authors:
Endre Pap;Djurdjica Takaci;Arpad Takači
Affiliations:
Institute of Mathematics, Faculty of Science, University of Novi Sad, Trg D. Obradovića 4, 21000 Novi Sad, Yugoslavia;Institute of Mathematics, Faculty of Science, University of Novi Sad, Trg D. Obradovića 4, 21000 Novi Sad, Yugoslavia;Institute of Mathematics, Faculty of Science, University of Novi Sad, Trg D. Obradovića 4, 21000 Novi Sad, Yugoslavia
Venue:
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Year:
2002

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Abstract

Using the g-calculus, introduced earlier by E. Pap, the g-operator field Fg is introduced analogously to the classical field of Mikusiński operators F. The obtained results enable the solving of a certain nonlinear PDE of the Burgers type in a wider framework of the generalized functions, which is a generalization of the earlier obtained result.