https://doi.org/10.1140/epjp/s13360-024-05772-1
Regular Article
Closed-form solution for a mathematical extension of the multi-term fractional Bateman equations via Mikusiński operational method
Departament de Matemàtiques, Universitat de València, 46100, Burjassot, Spain
Received:
9
October
2024
Accepted:
22
October
2024
Published online:
4
November
2024
We give a closed-form solution, in terms of multivariate Mittag–Leffler functions, for a lower triangular linear fractional system consisting of Riemann–Liouville derivatives. For such a task, we use Mikusiński algebraic calculus, while solving a certain difference equation. The system is motivated by an extension of the multi-order fractional Bateman model in nuclear physics. Thus, the paper contributes to the theory of operational analysis in physics.
© The Author(s) 2024
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