In this paper we use different techniques from the fractional and pseudo-operators calculus to solve partial differential equations involving operators with noninteger 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. © 2011 American Physical Society.
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|Publication status||Published - 14 Jun 2011|
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics
Babusci, D., Dattoli, G., & Quattromini, M. (2011). Relativistic equations with fractional and pseudodifferential operators. Physical Review A - Atomic, Molecular, and Optical Physics, 83(6), -. . https://doi.org/10.1103/PhysRevA.83.062109