TY - JOUR
T1 - On a variant of multivariate Mittag-Leffler's function arising in the Laplace transform method
AU - Abilassan, A.
AU - Restrepo, J. E.
AU - Suragan, D.
N1 - Publisher Copyright:
© 2022 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2022
Y1 - 2022
N2 - By using the Laplace transform method, we revisit the multivariate Mittag-Leffler function as an effective tool to construct a solution for some classes of fractional differential equations with constant coefficients. To support our results, we discuss several particular cases related to classical fractional differential operators. The techniques are not only restricted to fractional derivative operators but also can be applied to general constant coefficient differential equations, including high-order ordinary differential equations.
AB - By using the Laplace transform method, we revisit the multivariate Mittag-Leffler function as an effective tool to construct a solution for some classes of fractional differential equations with constant coefficients. To support our results, we discuss several particular cases related to classical fractional differential operators. The techniques are not only restricted to fractional derivative operators but also can be applied to general constant coefficient differential equations, including high-order ordinary differential equations.
KW - constant coefficients
KW - fractional differential equation
KW - Laplace transform method
KW - Multivariate Mittag-Leffler function
KW - ordinary differential equation
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U2 - 10.1080/10652469.2022.2111420
DO - 10.1080/10652469.2022.2111420
M3 - Article
AN - SCOPUS:85136457570
SN - 1065-2469
JO - Integral Transforms and Special Functions
JF - Integral Transforms and Special Functions
ER -