Theorem for Series in Three-Parameter Mittag-Leffler Function

Soubhia, Ana, et al. "Theorem for Series in Three-Parameter Mittag-Leffler Function." Fractional Calculus and Applied Analysis 13.1 (2010): 9-20. <http://eudml.org/doc/219608>.

@article{Soubhia2010,
abstract = {Mathematics Subject Classification 2010: 26A33, 33E12.The new result presented here is a theorem involving series in the three-parameter Mittag-Leffler function. As a by-product, we recover some known results and discuss corollaries. As an application, we obtain the solution of a fractional differential equation associated with a RLC electrical circuit in a closed form, in terms of the two-parameter Mittag-Leffler function.},
author = {Soubhia, Ana, Camargo, Rubens, Oliveira, Edmundo, Vaz, Jayme},
journal = {Fractional Calculus and Applied Analysis},
keywords = {Fractional Derivatives; Mittag-Leffler Function; Electrical Circuits; fractional derivatives; Mittag-Leffler function and its extensions; electrical circuits},
language = {eng},
number = {1},
pages = {9-20},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Theorem for Series in Three-Parameter Mittag-Leffler Function},
url = {http://eudml.org/doc/219608},
volume = {13},
year = {2010},
}

TY - JOUR
AU - Soubhia, Ana
AU - Camargo, Rubens
AU - Oliveira, Edmundo
AU - Vaz, Jayme
TI - Theorem for Series in Three-Parameter Mittag-Leffler Function
JO - Fractional Calculus and Applied Analysis
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 13
IS - 1
SP - 9
EP - 20
AB - Mathematics Subject Classification 2010: 26A33, 33E12.The new result presented here is a theorem involving series in the three-parameter Mittag-Leffler function. As a by-product, we recover some known results and discuss corollaries. As an application, we obtain the solution of a fractional differential equation associated with a RLC electrical circuit in a closed form, in terms of the two-parameter Mittag-Leffler function.
LA - eng
KW - Fractional Derivatives; Mittag-Leffler Function; Electrical Circuits; fractional derivatives; Mittag-Leffler function and its extensions; electrical circuits
UR - http://eudml.org/doc/219608
ER -