Alipour, MohsenBaleanu, DumitruBaleanu, DumitruMatematik2018-09-262018-09-262016Alipour, 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-2016-00451224-17841844-0835https://doi.org/10.1515/auom-2016-0045In 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.eninfo:eu-repo/semantics/openAccessArticle24351910.1515/auom-2016-00452-s2.0-85009962804WOS:000392747700001Q3Q3