Stochastic differential equations on fractal sets
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Publication:5086535
DOI10.1080/17442508.2019.1697268zbMath1490.60158OpenAlexW2992761805WikidataQ126630732 ScholiaQ126630732MaRDI QIDQ5086535
Cemil Tunç, Alireza Khalili Golmankhaneh
Publication date: 5 July 2022
Published in: Stochastics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17442508.2019.1697268
staircase functionfractal mean square calculusfractal random processfractal stochastic equationsmiddle-\(\xi\) Cantor sets
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Fractals (28A80)
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Cites Work
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- On the fractal geometry of DNA by the binary image analysis
- Fokker-Planck equation on fractal curves
- Anomalous diffusion modeling by fractal and fractional derivatives
- On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
- Brownian motion on the Sierpinski gasket
- Harmonic calculus on fractals -- a measure geometric approach. I
- On the Lipschitz condition in the fractal calculus
- Sub- and super-diffusion on Cantor sets: beyond the paradox
- Noteworthy fractal features and transport properties of Cantor tartans
- Entropy and multifractality for the myeloma multiple TET 2 gene
- Fractal calculus involving gauge function
- About Schrödinger equation on fractals curves imbedding in \(\mathbb R^{3}\)
- Electromagnetic fields and waves in fractional dimensional space
- Wavelets method for the time fractional diffusion-wave equation
- LANGEVIN EQUATION ON FRACTAL CURVES
- CALCULUS ON FRACTAL CURVES IN Rn
- CALCULUS ON FRACTAL SUBSETS OF REAL LINE — II: CONJUGACY WITH ORDINARY CALCULUS
- CALCULUS ON FRACTAL SUBSETS OF REAL LINE — I: FORMULATION
- Axiomatic basis for spaces with noninteger dimension
- FCAA related meetings and news (FCAA-Volume 16-1-2013)
- Stochastic Calculus and Applications
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