The use of matrices evolution equations raised to non-integer exponents finds applications in problems involving the solution of two or three level systems ruled by Klein–Gordon type equations. We develop a fairly simple method exploiting the wealth of results developed on fractional calculus and provide an example of application.
Giuseppe Dattoli, Silvia Licciardi, Federico Nguyen, Elio Sabia (2017). Evolution equations involving Matrices raised to non-integer exponents. In Modelling in Mathematics (pp. 31-41) [10.2991/978-94-6239-261-8_3].
Evolution equations involving Matrices raised to non-integer exponents
Silvia Licciardi
;
2017-01-01
Abstract
The use of matrices evolution equations raised to non-integer exponents finds applications in problems involving the solution of two or three level systems ruled by Klein–Gordon type equations. We develop a fairly simple method exploiting the wealth of results developed on fractional calculus and provide an example of application.
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