On a variant of multivariate Mittag-Lefflers function arising in the Laplace transform method
Abilassan A. Restrepo J.E. Suragan D.
2023Taylor and Francis Ltd.
Integral Transforms and Special Functions
2023#34Issue 3244 - 260 pp.
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.
constant coefficients , fractional differential equation , Laplace transform method , Multivariate Mittag-Leffler function , ordinary differential equation
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Department of Mathematics, Nazarbayev University, Nur-Sultan, Kazakhstan
Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium
Department of Mathematics
Department of Mathematics: Analysis
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