4 papers · 1 filter
Local generalizations of derivatives
Dimiter Prodanov
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…
Regularized integral representations of the reciprocal Gamma function
Dimiter Prodanov
This paper establishes a real integral representation of the reciprocal function in terms of a regularized hypersingular integral. The equivalence with the usual complex repres…
Anisotropic solutions of the time-fractional diffusion equation in multiple dimensions
Dimiter Prodanov
Anomalous diffusion phenomena are ubiquitous in complex media, such as biological tissues. A wide class of sub-diffusive phenomena phenomena is described by the time-fractional dif…
Product rules for the Fractional variation of Hölderian functions
Dimiter Prodanov
Fractional variation is defined as the limit of the difference quotient of the increments of a function and its argument raised to a fractional power. Fractional velocity can be su…