On the Kolmogorov forward equations within Caputo and Riemann-Liouville fractions derivatives

Alipour, Mohsen; Baleanu, Dumitru

dc.contributor.author	Alipour, Mohsen
dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2018-09-26T10:01:14Z
dc.date.available	2018-09-26T10:01:14Z
dc.date.issued	2016
dc.identifier.citation	Alipour, M., Baleanu, D. (2016). On the Kolmogorov forward equations within Caputo and Riemann-Liouville fractions derivatives. Anelele Stiintifice ale Universitatii Ovidius Constanta Matematica, 24(3), 5-19. http://dx.doi.org/10.1515/auom-2016-0045	tr_TR
dc.identifier.issn	1224-1784
dc.identifier.uri	http://hdl.handle.net/20.500.12416/1788
dc.description.abstract	In this work, we focus on the fractional versions of the well-known Kolmogorov forward equations. We consider the problem in two cases. In case 1, we apply the left Caputo fractional derivatives for alpha is an element of (0, 1] and in case 2, we use the right Riemann-Liouville fractional derivatives on R+, for alpha is an element of (1, + infinity). The exact solutions are obtained for the both cases by Laplace transforms and stable subordinators.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Ovidius Univ.	tr_TR
dc.relation.isversionof	10.1515/auom-2016-0045	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Diffusion	tr_TR
dc.subject	Boundary	tr_TR
dc.subject	Time	tr_TR
dc.title	On the Kolmogorov forward equations within Caputo and Riemann-Liouville fractions derivatives	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Anelele Stiintifice ale Universitatii Ovidius Constanta Matematica	tr_TR
dc.identifier.volume	24	tr_TR
dc.identifier.issue	3	tr_TR
dc.identifier.startpage	5	tr_TR
dc.identifier.endpage	19	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü	tr_TR