| contributor author | Almeida, Ricardo | |
| contributor author | Malinowska, Agnieszka B. | |
| contributor author | Odzijewicz, Tatiana | |
| date accessioned | 2017-11-25T07:20:16Z | |
| date available | 2017-11-25T07:20:16Z | |
| date copyright | 2016/09/16 | |
| date issued | 2016 | |
| identifier issn | 1555-1415 | |
| identifier other | cnd_011_06_061017.pdf | |
| identifier uri | http://138.201.223.254:8080/yetl1/handle/yetl/4236336 | |
| description abstract | In this paper, we present a new type of fractional operator, the Caputo–Katugampola derivative. The Caputo and the Caputo–Hadamard fractional derivatives are special cases of this new operator. An existence and uniqueness theorem for a fractional Cauchy-type problem, with dependence on the Caputo–Katugampola derivative, is proved. A decomposition formula for the Caputo–Katugampola derivative is obtained. This formula allows us to provide a simple numerical procedure to solve the fractional differential equation (FDE). | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Fractional Differential Equations With Dependence on the Caputo–Katugampola Derivative | |
| type | Journal Paper | |
| journal volume | 11 | |
| journal issue | 6 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.4034432 | |
| journal fristpage | 61017 | |
| journal lastpage | 061017-11 | |
| tree | Journal of Computational and Nonlinear Dynamics:;2016:;volume( 011 ):;issue: 006 | |
| contenttype | Fulltext | |
