Sentence examples for basic property of fractional from inspiring English sources

However, we point out that this approach is hard to apply an effect of memory which is the basic property of fractional differential equations.

For the basic properties of fractional Sobolev spaces, we refer the interested reader to [8].

The following lemma concerning basic properties of fractional calculus is needed afterward.

For the basic properties of fractional Sobolev spaces, we refer the readers to [12].

For the basic properties of fractional Sobolev spaces, we refer to [18].

He provided some basic properties of fractional difference and summation, and established the theory symmetrical to the fractional differential equation.

For the basic properties of fractional Sobolev spaces and their applications to elliptic fractional problems, we refer the reader to [19, 20] and the references therein.

In this section, we give some definitions and basic properties of fractional calculus and Chebyshev polynomials which are required for our subsequent development.

In this section, we introduce some definitions and notations of fractional derivative spaces endowed with inner products and norms, then give some basic properties of fractional derivative, which will be used in the context.

A nice survey of basic properties of deterministic fractional differential equations is in Lakshmikantham and Vatsala [18].

On one hand we proceed to develop the theory of fractional difference calculus, namely we introduce the concepts of a right fractional sum and right fractional difference operators and prove some basic properties of a right fractional sum and right fractional difference operators.