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SOME NEW PROPERTIES CONCERNING THE q-DEFORMED CALCULUS AND THE q-DEFORMATION OF THE DIFFUSION EQUATION
- Authors
- Chung, Won Sang; Jung, Min
- Issue Date
- 20-Jul-2013
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Keywords
- q-chain rule; q-deformed Fokker-Planck equation; q-deformed diffusion equation
- Citation
- MODERN PHYSICS LETTERS A, v.28, no.22
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- MODERN PHYSICS LETTERS A
- Volume
- 28
- Number
- 22
- ISSN
- 0217-7323
1793-6632
- Abstract
- 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.
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