Analytical solutions to the fractional wave equation with variable dielectric function
نویسندگان
چکیده
Abstract The fractional wave equation is presented as a generalization of the wave equation when arbitrary fractional order derivatives are involved. We have considered variable dielectric environments for the wave propagation phenomena. The Jumarie’s modified Riemann-Liouville derivative has been introduced and the solutions of the fractional Riccati differential equation have been applied to construct analytical solutions of the fractional wave equation. New family of exact solutions has been found for the fractional wave equation. These new solutions are compared with that obtained previously in the literature for the case of integer order derivatives. The results show how powerful can result the fractional calculus when is applied to many different physical situations.
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