3 papers
math.GM2026
"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…
math.NA2022
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.…
math.AP2022
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…