Leibniz Rule and Fractional Derivatives of Power FunctionsSource: Journal of Computational and Nonlinear Dynamics:;2016:;volume( 011 ):;issue: 003::page 31014Author:Tarasov, Vasily E.
DOI: 10.1115/1.4031364Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, we prove that unviolated simple Leibniz rule and equation for fractionalorder derivative of power function cannot hold together for derivatives of orders خ±â‰ 1. To prove this statement, we use an algebraic approach, where special form of fractionalorder derivatives is not applied.
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| contributor author | Tarasov, Vasily E. | |
| date accessioned | 2017-05-09T01:26:28Z | |
| date available | 2017-05-09T01:26:28Z | |
| date issued | 2016 | |
| identifier issn | 1555-1415 | |
| identifier other | cnd_011_03_031014.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/160493 | |
| description abstract | In this paper, we prove that unviolated simple Leibniz rule and equation for fractionalorder derivative of power function cannot hold together for derivatives of orders خ±â‰ 1. To prove this statement, we use an algebraic approach, where special form of fractionalorder derivatives is not applied. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Leibniz Rule and Fractional Derivatives of Power Functions | |
| type | Journal Paper | |
| journal volume | 11 | |
| journal issue | 3 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.4031364 | |
| journal fristpage | 31014 | |
| journal lastpage | 31014 | |
| identifier eissn | 1555-1423 | |
| tree | Journal of Computational and Nonlinear Dynamics:;2016:;volume( 011 ):;issue: 003 | |
| contenttype | Fulltext |