Fractional Approach to the Study of Some Partial Differential and Integro-Differential Equations Academic Article in Scopus uri icon

abstract

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

publication date

  • January 1, 2023