Fractional Derivatives in Spaces of Generalized Functions

Stojanović, Mirjana. "Fractional Derivatives in Spaces of Generalized Functions." Fractional Calculus and Applied Analysis 14.1 (2011): 125-137. <http://eudml.org/doc/219513>.

@article{Stojanović2011,
abstract = {MSC 2010: 26A33, 46Fxx, 58C05 Dedicated to 80-th birthday of Prof. Rudolf GorenfloWe generalize the two forms of the fractional derivatives (in Riemann-Liouville and Caputo sense) to spaces of generalized functions using appropriate techniques such as the multiplication of absolutely continuous function by the Heaviside function, and the analytical continuation. As an application, we give the two forms of the fractional derivatives of discontinuous functions in spaces of distributions.},
author = {Stojanović, Mirjana},
journal = {Fractional Calculus and Applied Analysis},
keywords = {Fractional Derivatives; Spaces of Generalized Functions; Fractional Derivatives of Discontinuous Function; Analytical Continuation; fractional derivatives; spaces of generalized functions; fractional derivatives of discontinuous functions; analytical continuation},
language = {eng},
number = {1},
pages = {125-137},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Fractional Derivatives in Spaces of Generalized Functions},
url = {http://eudml.org/doc/219513},
volume = {14},
year = {2011},
}

TY - JOUR
AU - Stojanović, Mirjana
TI - Fractional Derivatives in Spaces of Generalized Functions
JO - Fractional Calculus and Applied Analysis
PY - 2011
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 14
IS - 1
SP - 125
EP - 137
AB - MSC 2010: 26A33, 46Fxx, 58C05 Dedicated to 80-th birthday of Prof. Rudolf GorenfloWe generalize the two forms of the fractional derivatives (in Riemann-Liouville and Caputo sense) to spaces of generalized functions using appropriate techniques such as the multiplication of absolutely continuous function by the Heaviside function, and the analytical continuation. As an application, we give the two forms of the fractional derivatives of discontinuous functions in spaces of distributions.
LA - eng
KW - Fractional Derivatives; Spaces of Generalized Functions; Fractional Derivatives of Discontinuous Function; Analytical Continuation; fractional derivatives; spaces of generalized functions; fractional derivatives of discontinuous functions; analytical continuation
UR - http://eudml.org/doc/219513
ER -