Zobrazeno 1 - 10
of 162
pro vyhledávání: '"Prodanov, Dimiter"'
This paper introduces the concept of Fractal Frenet equations, a set of differential equations used to describe the behavior of vectors along fractal curves. The study explores the analogue of arc length for fractal curves, providing a measure to qua
Externí odkaz:
http://arxiv.org/abs/2404.07996
Autor:
Prodanov, Dimiter
The power of Clifford or, geometric, algebra lies in its ability to represent geometric operations in a concise and elegant manner. Clifford algebras provide the natural generalizations of complex, dual numbers and quaternions into non-commutative mu
Externí odkaz:
http://arxiv.org/abs/2308.02291
Autor:
Prodanov, Dimiter
The Wright function arises in the theory of the fractional differential equations. It is a very general mathematical object having diverse connections with other special and elementary functions. The Wright function provides a unified treatment of se
Externí odkaz:
http://arxiv.org/abs/2306.11381
Autor:
Prodanov, Dimiter
The Wright function, which arises in the theory of the space-time fractional diffusion equation, is an interesting mathematical object which has diverse connections with other special and elementary functions. The Wright function provides a unified t
Externí odkaz:
http://arxiv.org/abs/2304.02903
Autor:
Prodanov, Dimiter
Publikováno v:
Entropy (Basel). 2020 Dec 31;23(1):E59. PMID: 33396355
The dramatic outbreak of the coronavirus disease 2019 (COVID-19) pandemics and its ongoing progression boosted the scientific community's interest in epidemic modeling and forecasting. The SIR (Susceptible-Infected-Removed) model is a simple mathemat
Externí odkaz:
http://arxiv.org/abs/2010.07000
Autor:
Prodanov, Dimiter1,2 (AUTHOR) dimiter.prodanov@imec.be
Publikováno v:
Fractal & Fractional. Feb2024, Vol. 8 Issue 2, p88. 21p.
Autor:
Prodanov, Dimiter
The present work demonstrates the connections between the Burgers, diffusion, and Schroedinger's equations. The starting point is a formulation of the stochastic mechanics, which is modeled along the lines of the scale relativity theory. The resultin
Externí odkaz:
http://arxiv.org/abs/2006.15917
Autor:
Prodanov, Dimiter
From physical perspective, derivatives can be viewed as mathematical idealizations of the linear growth. The linear growth condition has special properties, which make it preferred. The manuscript investigates the general properties of the local gene
Externí odkaz:
http://arxiv.org/abs/1909.02728
Autor:
Prodanov, Dimiter
Modern advances in general-purpose computer algebra systems offer solutions to a variety of problems, which in the past required substantial time investments by trained mathematicians. An excellent example of such development are the Clifford algebra
Externí odkaz:
http://arxiv.org/abs/1904.00084
Autor:
Prodanov, Dimiter
Publikováno v:
In Journal of Computational and Applied Mathematics April 2023 422