Browsing by Author "Ali-Akbari, Mahdi"

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Citation Count: Ahmadian, A...et al. (2017). A novel approach to approximate fractional derivative with uncertain conditions Chaos Solitons & Fractals, 104, 68-76 .
A novel approach to approximate fractional derivative with uncertain conditions
(Elsevier, 2017) Ahmadian, Ali; Salahshour, S.; Ali-Akbari, Mahdi; İsmail, F.; Baleanu, Dumitru; 56389
This paper focuses on providing a new scheme to find the fuzzy approximate solution of fractional differential equations (FDEs) under uncertainty. The Caputo-type derivative base on the generalized Hukuhara differentiability is approximated by a linearization formula to reduce the corresponding uncertain FDE to an ODE under fuzzy concept. This new approach may positively affect on the computational cost and easily apply for the other types of uncertain fractional-order differential equation. The performed numerical simulations verify the proficiency of the presented scheme
Citation Count: Salahshour, Soheil; Ahmadian...et al. (2019). "Uncertain Fractional Operator With Application Arising in the Steady Heat Flow", Vol. 23, No. 2, pp. 1289-1296.
Uncertain Fractional Operator With Application Arising in the Steady Heat Flow
(Vinca Inst Nuclear Sci, 2019) Salahshour, Soheil; Ahmadian, Ali; Ali-Akbari, Mahdi; Senu, Norazak; Baleanu, Dumitru; 56389
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 appearing for the existing fractional derivatives. Therefore, we propose in this research an interesting approach to acquire the interval solution of fractional interval differential equations under a new fractional operator, that does not have the above defect with uncertain parameters. In fact, this scheme is developed to achieve the interval solution of the uncertain steady heat flow based on the fractional interval differential equations. An example is experienced to illustrate our approach and validate it.