We consider a space-fractional wave equation with singular mass term depending on the position and prove that it is very weak well-posed. The uniqueness proved in some appropriate sense. Moreover, we consistency of solution classical solutions when they exist. In order to study behaviour near singularities coefficient, numerical experiments are conducted where appearance wall effect for masses ...

The properties of the deformed bosonic oscillator, and the quantum groups Uq(SL(2)) and GLq(2) in the limit as their deformation parameter q goes to a root of unity are investigated and interpreted physically. These properties are seen to be related to fractional supersymmetry and intrinsic anyonic spin. A simple deformation of the Klein-Gordon equation is introduced, based on GLq(2). When q is...

Abstract The Cauchy problem of a time-space fractional partial differential equation which has as particular cases the Klein-Gordon equation, generalized expression heat and two apparently unexplored integro-differential equations in context physics, is proposed solved for delta initial condition. Series H-Fox functions are obtained solution.

this paper studies the perturbed klein-gordon equation by the aid of several methods of integrability. there are six forms of nonlinearity that are considered in this paper. the parameter domains are thus identified.

This paper studies the Klein-Gordon equation and two modifications in an infinite Cantor set a fractal space-time. Their variational formulations are established discussed, spatio-temporal discontinuity requires both spatio-fractal derivative temporal for practical applications. Some basic properties of local fractional two-scale elucidated, derivation Euler-Lagrange is illustrated.