General solution of Bateman equations using Cauchy products and the Theory of Divided Differences

Cruz-López, Carlos-Antonio; Espinosa-Paredes, Gilberto; François, Juan-Luis

doi:10.1016/j.anucene.2024.110729

Annals of Nuclear Energy

2024

DOI: 10.1016/j.anucene.2024.110729

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General solution of Bateman equations using Cauchy products and the Theory of Divided Differences

Carlos-Antonio Cruz-López,

Gilberto Espinosa-Paredes,

Juan-Luis François

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Closed-form solution for a mathematical extension of the multi-term fractional Bateman equations via Mikusiński operational method

Jornet

2024

Eur. Phys. J. Plus

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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.

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Closed-form solution for a mathematical extension of the multi-term fractional Bateman equations via Mikusiński operational method

Jornet

2024

Eur. Phys. J. Plus

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General solution of Bateman equations using Cauchy products and the Theory of Divided Differences

Cited by 1 publication

References 33 publications

Closed-form solution for a mathematical extension of the multi-term fractional Bateman equations via Mikusiński operational method

Closed-form solution for a mathematical extension of the multi-term fractional Bateman equations via Mikusiński operational method

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