Sentence examples for basic theorems of fractional from inspiring English sources

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Section 2 gives the basic theorems of fractional calculus.

Section 2 reviews the underlying ideas and basic theorems of fractional calculus and sinc-Galerkin technique.

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Basic theorems of data compression, data summarization, and channel coding.

The basic theorems of intuitionistic analysis — the bar theorem, fan theorem, and continuity theorem — are in "On the Domains of Definition of Functions" of 1927.

They allow us to derive some basic theorems, one of which we'll use in the next section: Theorem (\ \bwedge\ -distribution).

It deals at length with the extensions and consequences of basic theorems such as those of Pappus and Desargues.

We propose a novel stability theorem via establishing an extending item on the basis of the stability theorem of fractional nonlinear systems without delay, and prove the theorem by utilizing the function monotonous properties and the stability theorem of fractional linear system without delay.

Theorem 2 (Fundamental theorem of fractional calculus).

In Section 2, we introduce some preliminary results, including basic definitions of fractional integrals and derivatives, some properties and a fixed point theorem.

'Basic tools of fractional order systems' section summarizes some basic concepts in fractional calculus theory.

Next we give some necessary basic definitions of fractional calculus.

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