Open AccessThe modified Bessel functions I3/4(x) and I−3/4(x) in certain fractional differential equations
Author(s) -
Jorge Olivares Funes,
Elvis R. Valero Kari,
Pablo Martín
Publication year - 2021
Publication title -
journal of physics: conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
ISSN - 1742-6588
DOI - 10.1088/1742-6596/1730/1/012065
Subject(s) - bessel function , hypergeometric function , laplace transform , mathematics , sign (mathematics) , order (exchange) , mathematical analysis , differential equation , derivative (finance) , finance , financial economics , economics
Linear fracctional equations has been considered with modified Bessel functions I 3 / 4 ( x ) and I − 3 / 4 ( x ) as no-homogeneus part. The result have been found using Laplace transform. Dun results lead to generalized hypergeometric functions. Several Coincidences have found between the results for the modified Bessel functions of the some order by different sign. No limitations have been found for the fracctional derivative, with could be any real numbers. Some specific values of Alpha have been also consifered.