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A new Definition of Fractional Derivative and Fractional Integral
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kareem, Ahmed Murshed |
| Copyright Year | 2018 |
| Abstract | In this paper, we introduce three different definitions of fractional derivatives, namely Riemann-Liouville derivative, Caputo derivative and the new formula Caputo expansion formula, and some basics properties of these derivatives are discussed. The difference between Caputo and Riemann – Liouville formulas for the fractional derivatives also mentioned. The paper focuses on find approximate values for function derivatives, when the function order is a negative integer, illustrated by some theorems and examples. |
| Starting Page | 304 |
| Ending Page | 323 |
| Page Count | 20 |
| File Format | PDF HTM / HTML |
| Volume Number | 13 |
| Alternate Webpage(s) | https://www.iasj.net/iasj?aId=143047&func=fulltext |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |