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arXiv · 1101.5066

Relativistic equations with fractional and pseudo-differential operators

D. Babusci·G. Dattoli·M. Quattromini
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Abstract

In this paper we use different techniques from the fractional and pseudo-operators calculus to solve partial differential equations involving operators with non integer exponents. We apply the method to equations resembling generalizations of the heat equations and discuss the possibility of extending the procedure to the relativistic Schrödinger and Dirac equations.

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D. Babusci, G. Dattoli, M. Quattromini. 2011-06-15. Relativistic equations with fractional and pseudo-differential operators. https://doi.org/10.1103/physreva.83.062109

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