dc.creator | Teodoro G.S. | |
dc.creator | Capelas de Oliveira E. | |
dc.date | 2014 | |
dc.date | 2015-06-25T17:56:19Z | |
dc.date | 2015-11-26T14:44:05Z | |
dc.date | 2015-06-25T17:56:19Z | |
dc.date | 2015-11-26T14:44:05Z | |
dc.date.accessioned | 2018-03-28T21:52:40Z | |
dc.date.available | 2018-03-28T21:52:40Z | |
dc.identifier | | |
dc.identifier | International Journal Of Mathematical Education In Science And Technology. Taylor And Francis Ltd., v. 45, n. 4, p. 595 - 604, 2014. | |
dc.identifier | 0020739X | |
dc.identifier | 10.1080/0020739X.2013.851803 | |
dc.identifier | http://www.scopus.com/inward/record.url?eid=2-s2.0-84899926007&partnerID=40&md5=d3acab0350aac965e1d25ae3f200f80a | |
dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/87006 | |
dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/87006 | |
dc.identifier | 2-s2.0-84899926007 | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1251973 | |
dc.description | The exponential function is solution of a linear differential equation with constant coefficients, and the Mittag-Leffler function is solution of a fractional linear differential equation with constant coefficients. Using infinite series and Laplace transform, we introduce the Mittag-Leffler function as a generalization of the exponential function. Particular cases are recovered. © 2013 Taylor & Francis. | |
dc.description | 45 | |
dc.description | 4 | |
dc.description | 595 | |
dc.description | 604 | |
dc.description | Ablowitz, M.J., Fokas, A.S., (1999) Complex variables: Introduction and applications (Cambridge texts in applied mathematics), , Cambridge (UK),: Cambridge University Press | |
dc.description | Sneddon, I.N., (1995) Fourier transforms, , New York (NY),: Dover Publications Inc | |
dc.description | Coddington, E.A., (1989) An introduction to ordinary differential equations, , New York (NY),: Dover Publications Inc | |
dc.description | Kevorkian, J., (1990) Partial differential equations, analytical solution techniques, , Belmont (CA),: Wadsworth & Brooks/Cole Advanced Book & Software | |
dc.description | Camargo, R.F., Chiacchio, A.O., Oliveira, E.C., One-sided and two-sided Green's function (2013) Bound Value Probl, 2013, p. 45 | |
dc.description | Miller, K.S., Ross, B., (1993) An introduction to the fractional calculus and fractional differential equations, , New York (NY),: Wiley | |
dc.description | Mittag-Leffler, G.M., A generalization of the Laplace-Abel integral (1903) C R Acad Sci Paris, 137, pp. 537-539 | |
dc.description | Prabhakar, T.R., A singular integral equation with generalized Mittag-Leffler function in the kernel (1971) Yokohama Math J, 19, pp. 7-15 | |
dc.description | Mainardi, F., (2010) Fractional calculus and waves in linear viscoelasticity, , London,: Imperial College Press | |
dc.description | Capelas de Oliveira, E., (2012) Special functions and applications, , 2nd, São Paulo,: Livraria Editora da Física, Portuguese | |
dc.description | Mathai, A.M., Haubold, H.J., (2008) Special functions for applied scientists, , New York (NY),: Springer Science | |
dc.description | Oliveira, E.C., Rodrigues Jr., W.A., (2006) Analytical functions and applications, , São Paulo,: Livraria Editora da Física, Portuguese | |
dc.description | Mittag-Leffler, G.M., On the new function Eα(x) (1903) C R Acad Sci Paris, 137, pp. 554-558 | |
dc.description | Humbert, P., Agarwal, R.P., On the Mittag-Leffler function and some of its generalizations (1953) Bull Sci Math Ser, 77, pp. 180-185 | |
dc.description | Shukla, A.K., Prajapati, J.C., On a generalization of Mittag-Leffler function and its properties (2007) J Math Anal Appl, 336, pp. 797-811 | |
dc.description | Gehlot, K.S., The generalized k-Mittag-Leffler function (2012) Int J Contemp Math Sci, 7, pp. 2213-2219 | |
dc.description | Silva Costa, F., (2011) Fox's H function and applications, , Campinas: Unicamp, Portuguese | |
dc.language | en | |
dc.publisher | Taylor and Francis Ltd. | |
dc.relation | International Journal of Mathematical Education in Science and Technology | |
dc.rights | fechado | |
dc.source | Scopus | |
dc.title | Laplace Transform And The Mittag-leffler Function | |
dc.type | Artículos de revistas | |