On q–Analogues of Caputo Derivative and Mittag–Leffler Function

Rajkovic, Predrag, Marinkovic, Sladjana, and Stankovic, Miomir. "On q–Analogues of Caputo Derivative and Mittag–Leffler Function." Fractional Calculus and Applied Analysis 10.4 (2007): 359-373. <http://eudml.org/doc/11332>.

@article{Rajkovic2007,
abstract = {Mathematics Subject Classification: 33D60, 33E12, 26A33Based on the fractional q–integral with the parametric lower limit of integration, we consider the fractional q–derivative of Caputo type. Especially, its applications to q-exponential functions allow us to introduce q–analogues of the Mittag–Leffler function. Vice versa, those functions can be used for defining generalized operators in fractional q–calculus.},
author = {Rajkovic, Predrag, Marinkovic, Sladjana, Stankovic, Miomir},
journal = {Fractional Calculus and Applied Analysis},
keywords = {33D60; 33E12; 26A33},
language = {eng},
number = {4},
pages = {359-373},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On q–Analogues of Caputo Derivative and Mittag–Leffler Function},
url = {http://eudml.org/doc/11332},
volume = {10},
year = {2007},
}

TY - JOUR
AU - Rajkovic, Predrag
AU - Marinkovic, Sladjana
AU - Stankovic, Miomir
TI - On q–Analogues of Caputo Derivative and Mittag–Leffler Function
JO - Fractional Calculus and Applied Analysis
PY - 2007
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 10
IS - 4
SP - 359
EP - 373
AB - Mathematics Subject Classification: 33D60, 33E12, 26A33Based on the fractional q–integral with the parametric lower limit of integration, we consider the fractional q–derivative of Caputo type. Especially, its applications to q-exponential functions allow us to introduce q–analogues of the Mittag–Leffler function. Vice versa, those functions can be used for defining generalized operators in fractional q–calculus.
LA - eng
KW - 33D60; 33E12; 26A33
UR - http://eudml.org/doc/11332
ER -