Work

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

Year: 2024

Type: article

Abstract: 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.

Source: The European Physical Journal Plus

DOI: 10.1140/epjp/s13360-024-05772-1

Author: Marc Jornet

Institution: Universitat de València

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,790

Funder: Universitat de València