Based on the local fractional derivative, a new Klein-Fock-Gordon equation is derived in this paper for first time. A simple method namely Yang?s special function used to seek non-differentiable exact solutions. The whole calculation process strongly shows that proposed and effective, can be applied investigate solu?tions of other PDE.

Abstract In [1] Varsha and Jaferi proposed an iterative method for solving nonlinear functional equations, viz. nonlinear Voltera integral equations, algebraic equations and system of ordinary differential equations. Then Sachin and Varsha [2] implemented this method to solve linear and nonlinear partial differential equations of integer and fractional order. The aim of this article is to propo...

In this paper, we investigate the fractional-order Klein–Fock–Gordon equations on quantum dynamics using a new iterative method and residual power series based Caputo operator. The equation is generalization of traditional that allows for non-integer orders differentiation. This has been used in study to model behavior particles with fractional spin. Laplace transform employed into simpler form...

We aim to derive a phenomenological approach link the theories of anomalous transport governed by fractional calculus and stochastic theory with conductivity behavior semi-empirical formalism involving Debye, Cole-Cole, Cole-Davidson, Havriliak-Negami type equations. want determine processes in amorphous semiconductors insulators developing theoretical over some mathematical instruments methods...

The purpose of this article is to solve a nonlinear fractional Klein–Fock–Gordon equation that involves recently created non-singular kernel derivative by Caputo–Fabrizio. Motivated some physical applications related the equation, we focus our study on and phenomena rated it. findings are crucial essential for explaining variety processes. In order find satisfactory approximations offered probl...