12 citations · 13 across the 5 of their papers we have counts for
5 papers
"Phase Transition" in fractional differential equations
Pavel B. Dubovski, Jeffrey A. Slepoi
The basic result in the theory of linear ODEs is that the dimension of the fundamental set of linearly independent solutions is equal to the order of equation. This view is typical…
Substitution Method for Fractional Differential Equations
Pavel B. Dubovski, Jeffrey A. Slepoi
Numerical solving differential equations with fractional derivatives requires elimination of the singularity which is inherent in the standard definition of fractional derivatives.…
Fractional Quasi-Bessel Equations
Pavel B. Dubovski, Jeffrey A. Slepoi
In this paper we consider fractional quasi-Bessel equations and construct their existence and uniqueness theory in…
Mathematics of Parking: Varying Parking Rate
Pavel B. Dubovski, Michael Tamarov
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 i…
Analysis of solutions of some multi-term fractional Bessel equations
Pavel B. Dubovski, Jeffrey A. Slepoi
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.…