# Fractional wave equation and damped waves

## Related Articles

- Fractional Quantum Field Theory on Multifractals Sets. Ahmad Rami, El-Nabulsi // American Journal of Engineering & Applied Sciences;2011, Vol. 4 Issue 1, p133
The article presents a study which aims to prove fractional quantum field theory based on the fractional action like variational approach on a multifractal sets. The study used Saxena-Kumbhat hypergeometric fractional functionals, fractional derivative of order, and dynamical fractional exponent...

- An interpolation between the wave and diffusion equations through the fractional evolution equations Dirac like. Pierantozzi, T.; Vázquez, L. // Journal of Mathematical Physics;Nov2005, Vol. 46 Issue 11, p113512
Through fractional calculus and following the method used by Dirac to obtain his well-known equation from the Klein-Gordon equation, we analyze a possible interpolation between the Dirac and the diffusion equations in one space dimension. We study the transition between the hyperbolic and...

- EXISTENCE OF LOCAL AND GLOBAL SOLUTIONS TO SOME IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS. ATMANIA, RAHIMA; MAZOUZI, SAID // Electronic Journal of Differential Equations;2009, Vol. 2009, Special section p1
First, by using Schauder's fixed-point theorem we establish the existence uniqueness of locals for some fractional differential equation with a finite number of impulses. On the other hand, by using Brouwer's fixedpoint theorem, we establish existence of the global solutions under suitable...

- Heaviside Realisation of Formal Differential Operators: Quantum Implications. Simpao, Valentino A. // Electronic Journal of Theoretical Physics;Mar2005, Vol. 2 Issue 5, p1
By means of Heaviside operational schemes, formal differential operators [i.e., Arbitrary functions of the derivative symbols] are realised as convolution operators on the prescribed class of operands. This connection allows an alternative framework for momentum/energy dependence in quantum...

- A GENERALIZED RICCATI EQUATION METHOD FOR NONLINEAR PDES. Sheng Zhang; Ying-na Sun; Jin-Mei Ba; Ling Dong // Journal of Advanced Mathematical Studies;Jan2010, Vol. 3 Issue 1, p125
In this paper, a generalized Riccati equation method for obtaining exact solutions of nonlinear partial differential equationds is proposed and applied. to the generalized Pochhammer-Chree equation and the Klein-Gordon equation. As a result, new exact travelling wave solutions are obtained. It...

- Shape Invariant and Rodrigues Solution of the Dirac-shifted Oscillator and Dirac-Morse Potentials. Panahi, H.; Jahangiry, L. // International Journal of Theoretical Physics;Nov2009, Vol. 48 Issue 11, p3234
We show that the Dirac equation for a charged spinor in spherically symmetric electromagnetic potentials as Dirac-shifted oscillator and Dirac-Morse potentials have the conditions of shape invariant symmetry in non-relativistic quantum mechanics. The relativistic spectra of the bound states and...

- Two-loop Gell-Mann-Low function of the N=1 supersymmetric Yang-Mills theory regularized by higher covariant derivatives. Pimenov, A. B.; Stepanyantz, K. V. // Theoretical & Mathematical Physics;Jun2008, Vol. 155 Issue 3, p848
We calculate the two-loop Gell-Mann-Low function for the N=1 supersymmetric Yang-Mills theory regularized by higher covariant derivatives. We show that the integrals determining this function reduce to total derivatives and can be easily calculated analytically.

- The Hawking Effect for Spin 1/2 Fields. Melnyk, Fabrice // Communications in Mathematical Physics;Feb2004, Vol. 244 Issue 3, p483
We prove the Hawking effect, for a gravitational collapse of charged star in the case of a charged massive Dirac field.

- Derivation of Dirac's Equation from the Evans Wave Equation. Evans, M. W. // Foundations of Physics Letters;Apr2004, Vol. 17 Issue 2, p149
The Evans wave equation [1] of general relativity is expressed in spinor form, thus producing the Dirac equation in general relativity. The Dirac equation in special relativity is recovered in the limit of Euclidean or flat spacetime. By deriving the Dirac equation from the Evans equation it is...