# Theorem for Series in Three-Parameter Mittag-Leffler Function

Soubhia, Ana; Camargo, Rubens; Oliveira, Edmundo; Vaz, Jayme

Fractional Calculus and Applied Analysis (2010)

- Volume: 13, Issue: 1, page 9-20
- ISSN: 1311-0454

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topSoubhia, 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 -

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