On an extension of the Mikusiński type operational calculus for the Caputo fractional derivative
Sign Up to like & getrecommendations! Published in 2020 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2020.1833194
Abstract: In this paper, a two-parameter extension of the operational calculus of Mikusiński's type for the Caputo fractional derivative is presented. The first parameter is connected with the rings of functions that are used as a… read more here.
Keywords: mikusi ski; fractional derivative; operational calculus; caputo fractional ... See more keywords
Operational calculus for the general fractional derivative and its applications
Sign Up to like & getrecommendations! Published in 2021 at "Fractional Calculus and Applied Analysis"
DOI: 10.1515/fca-2021-0016
Abstract: Abstract In this paper, we first address the general fractional integrals and derivatives with the Sonine kernels that possess the integrable singularities of power function type at the point zero. Both particular cases and compositions… read more here.
Keywords: derivative applications; calculus general; fractional derivative; operational calculus ... See more keywords
Operational calculus of the expanded SEE transform technique
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Interdisciplinary Mathematics"
DOI: 10.47974/jim-2010
Abstract: In this paper, we showed the theorem of convergence and existence for the transformation by the SEE transform technique. We have structured the appropriate space of pseudo quotients for the SEE technique. The expanded SEE… read more here.
Keywords: transform technique; operational calculus; see transform; expanded see ... See more keywords