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pro vyhledávání: '"Dubovski, Pavel B."'
Autor:
Dubovski, Pavel B., Slepoi, Jeffrey A.
Numerical solving differential equations with fractional derivatives requires elimination of the singularity which is inherent in the standard definition of fractional derivatives. The method of integration by parts to eliminate this singularity is w
Externí odkaz:
http://arxiv.org/abs/2201.10098
Autor:
Dubovski, Pavel B., Slepoi, Jeffrey A.
In this paper we consider fractional quasi-Bessel equations $$\sum_{i=1}^{m}d_i x^{\alpha_i+p_i}D^{\alpha_i} u(x) + (x^\beta - \nu^2)u(x)=0$$ and construct their existence and uniqueness theory in the class of fractional series. Our methodology allow
Externí odkaz:
http://arxiv.org/abs/2201.10094
Autor:
Dubovski, Pavel B., Slepoi, Jeffrey A.
Publikováno v:
Fractional Calculus and Applied Analysis, v. 24, no. 5 (2021), pp. 1380-1408
We construct the existence theory for generalized fractional Bessel differential equations and find the solutions in the form of fractional or logarithmic fractional power series. We figure out the cases when the series solution is unique, non-unique
Externí odkaz:
http://arxiv.org/abs/2112.13516
Autor:
Dubovski, Pavel B., Tamarov, Michael
Publikováno v:
Journal of Statistical Physics, v. 182, no. 22 (2021)
In the classical parking problem, unit intervals ("car lengths") are placed uniformly at random without overlapping. The process terminates at saturation, i.e. until no more unit intervals can be stowed. In this paper, we present a generalization of
Externí odkaz:
http://arxiv.org/abs/2112.13695
Autor:
Dubovski, Pavel B.1 (AUTHOR) pdubovsk@stevens.edu, Slepoi, Jeffrey A.1 (AUTHOR)
Publikováno v:
Mathematics (2227-7390). Jul2024, Vol. 12 Issue 13, p1928. 10p.
Autor:
Alomari, Omar1 omar.alomari@gju.edu.jo, Dubovski, Pavel B.2 pavel.dubovskiy@stevens.edu
Publikováno v:
European Journal of Pure & Applied Mathematics. Apr2023, Vol. 16 Issue 2, p1140-1153. 14p.
Autor:
Dubovski, Pavel B., Slepoi, Jeffrey A.
Publikováno v:
Journal of Applied Analysis; Jun2024, Vol. 30 Issue 1, p117-128, 12p
Autor:
Boyadjiev, Lyubomir1 (AUTHOR) lboyadzhiev@qcc.cuny.edu, Dubovski, Pavel B.2 (AUTHOR), Slepoi, Jeffrey A.2 (AUTHOR)
Publikováno v:
Journal of Mathematical Sciences. Sep2022, Vol. 266 Issue 2, p285-294. 10p.
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