A number of techniques use power series with fractional powers to construct solutions to fractional differential equations.

An analytical technique based on power series is exploited in [5] to predict and represent the multiplicity of solutions to nonlinear boundary value problems of fractional order.

(iii) homotopy series solutions to time-space fractional coupled systems,

(iv) numerical simulations of one-dimensional fractional nonsteady heat transfer models based on the second kind Chebyshev wavelet,

By generalizing the memristor in the fractional order domain with the fractional calculus, the fractional order memristor can be obtained.

Therefore, the fractional time component [22], [sigma], which has the dimension of sec, has been introduced for handling this issue.

The aim of this article is to propose an efficient computational method of the fractional calculus applications to digital signal processing.

In Section 2, we introduce the fundamentals concepts of fractional calculus.

The following properties for the conformable fractional derivative are well known, which can be easily proved due to the definition of the conformable fractional derivative.

In Section 2, we propose the description of the auxiliary equation method for seeking exact solutions with variable coefficient function forms for fractional partial differential equations.

In this section, the basic knowledge of

fractional calculus is introduced, including the definitions and several simple properties used in this paper.

Riemann-Liouville defined the

fractional derivative of order n-1 < [alpha] [less than or equal to] n (n [member of] N) as