| contributor author | Tom T. Hartley | |
| contributor author | Carl F. Lorenzo | |
| date accessioned | 2017-05-09T00:27:10Z | |
| date available | 2017-05-09T00:27:10Z | |
| date copyright | January, 2008 | |
| date issued | 2008 | |
| identifier issn | 1555-1415 | |
| identifier other | JCNDDM-24916#021103_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/137555 | |
| description abstract | This paper reviews some properties of the gamma function, particularly the incomplete gamma function and its complement, as a function of the Laplace variable s. The utility of these functions in the solution of initialization problems in fractional-order system theory is demonstrated. Several specific differential equations are presented, and their initialization responses are found for a variety of initializations. Both the time-domain and Laplace-domain solutions are obtained and compared. The complementary incomplete gamma function is shown to be essential in finding the Laplace-domain solution of a fractional-order differential equation. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Application of Incomplete Gamma Functions to the Initialization of Fractional-Order Systems | |
| type | Journal Paper | |
| journal volume | 3 | |
| journal issue | 2 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.2833480 | |
| journal fristpage | 21103 | |
| identifier eissn | 1555-1423 | |
| keywords | Gamma functions | |
| keywords | Equations | |
| keywords | Laplace transforms AND Differential equations | |
| tree | Journal of Computational and Nonlinear Dynamics:;2008:;volume( 003 ):;issue: 002 | |
| contenttype | Fulltext | |
