On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem

• Main Authors: Salahshour, Soheil, Ahmadian, Ali, Senu, Norazak, Baleanu, Dumitru, Agarwal, Praveen
• Format: Article
• Language: English
• Published: MDPI 2015
• Online Access: http://psasir.upm.edu.my/id/eprint/56963/1/56963.pdf; http://psasir.upm.edu.my/id/eprint/56963/; http://www.mdpi.com/1099-4300/17/2/885

In this paper, we apply the concept of Caputo’s H-differentiability, constructed based on the generalized Hukuhara difference, to solve the fuzzy fractional differential equation (FFDE) with uncertainty. This is in contrast to conventional solutions that either require a quantity of fractional deriv...