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A new fractional derivative for differential equation of fractional order under interval uncertainty

Salahshour, Soheil; Ahmadian, Ali; Ismail, Fudziah; Baleanu, Dumitru; Senu, Norazak (Sage Publications LTD, 2015-12)

In this article, we develop a new definition of fractional derivative under interval uncertainty. This fractional derivative, which is called conformable fractional derivative, inherits some interesting properties from the ...
On analytical solutions of the fractional differential equation with uncertainty: application to the basset problem

Salahshour, Soheil; Ahmadian, Ali; Senu, Norazak; Baleanu, Dumitru; Agarwal, Ravi P. (MDPI AG, 2015-02)

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 ...
Uncertain Fractional Operator With Application Arising in the Steady Heat Flow

Salahshour, Soheil; Ahmadian, Ali; Ali-Akbari, Mahdi; Senu, Norazak; Baleanu, Dumitru (Vinca Inst Nuclear Sci, 2019)

In the recent years much efforts were made to propose simple and well-behaved fractional operators to inherit the classical properties from the first order derivative and overcome the singularity problem of the kernel ...

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