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Introduction to Fractional Calculus
| Content Provider | Scilit |
|---|---|
| Author | Li, Changpin Zeng, Fanhai |
| Copyright Year | 2015 |
| Description | In this chapter, we first introduce fractional calculus (i.e., fractional integration and fractional differentiation). Generally speaking, the fractional integral mainly means (fractional) Riemann-Liouville integral. The fractional derivatives consist of at least six kinds of definitions, but they are not equivalent. Here, we present the most frequently used fractional integral and derivatives, i.e., the Riemann-Liouville integral, the Riemann-Liouville derivative, the Caputo derivative, etc. Then we study their important properties, some of which are easily confused. Besides, we further introduce the definite conditions of fractional differential equations which are often misused. Book Name: Numerical Methods for Fractional Calculus |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2014-0-29860-7&isbn=9780429075636&doi=10.1201/b18503-6&format=pdf |
| Ending Page | 46 |
| Page Count | 28 |
| Starting Page | 19 |
| DOI | 10.1201/b18503-6 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2015-05-19 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Numerical Methods for Fractional Calculus Fractional Calculus Introduction Speaking Equations Confused Chapter Misused Easily Caputo |
| Content Type | Text |
| Resource Type | Chapter |