SOME NEW PROPERTIES CONCERNING THE q-DEFORMED CALCULUS AND THE q-DEFORMATION OF THE DIFFUSION EQUATION

Chung, Won Sang; Jung, Min

doi:10.1142/S0217732313501009

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SOME NEW PROPERTIES CONCERNING THE q-DEFORMED CALCULUS AND THE q-DEFORMATION OF THE DIFFUSION EQUATION

Chung, Won Sang;
Jung, Min

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초록

In this paper, we introduce some new properties concerning the q-derivative and q-integral. Using these properties, we construct the q-deformation of the diffusion equation. Two types of the q-deformed diffusion equations are possible. One is expressed in terms of the ordinary time derivative and another is expressed in terms of the q-derivative.

키워드

q-chain rule; q-deformed Fokker-Planck equation; q-deformed diffusion equation; VARIATIONAL-PROBLEMS; Q-ANALOG

제목: SOME NEW PROPERTIES CONCERNING THE q-DEFORMED CALCULUS AND THE q-DEFORMATION OF THE DIFFUSION EQUATION

저자: Chung, Won Sang; Jung, Min

DOI: 10.1142/S0217732313501009

발행일: 2013-07-20

유형: Article

저널명: Modern Physics Letters A

권: 28

호: 22