Browsing by Author "Ismail, Fudziah"

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Citation Count: Salahshour, S...et al. (2015). A new fractional derivative for differential equation of fractional order under interval uncertainty. Advance In Mechanical Engineering, 7(12). http://dx.doi.org/10.1177/1687814015619138
A new fractional derivative for differential equation of fractional order under interval uncertainty
(Sage Publications LTD, 2015) Salahshour, Soheil; Ahmadian, Ali; Ismail, Fudziah; Baleanu, Dumitru; Senu, Norazak
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 integer differentiability which is more convenient to work with the mathematical models of the real-world phenomena. The interest for this new approach was born from the notion that makes a dependency just on the basic limit definition of the derivative. We will introduce and prove the main features of this well-behaved simple fractional derivative under interval arithmetic uncertainty. The actualization and usefulness of this approach are validated by solving two practical models
Citation Count: Salahshour, S...et al. (2015). A novel weak fuzzy solution for fuzzy linear system. Entropy, 18(3). http://dx.doi.org/10.3390/e18030068
A novel weak fuzzy solution for fuzzy linear system
(MDPI AG, 2016) Salahshour, Soheil; Ahmadian, Ali; Ismail, Fudziah; Baleanu, Dumitru
This article proposes a novel weak fuzzy solution for the fuzzy linear system. As a matter of fact, we define the right-hand side column of the fuzzy linear system as a piecewise fuzzy function to overcome the related shortcoming, which exists in the previous findings. The strong point of this proposal is that the weak fuzzy solution is always a fuzzy number vector. Two complex and non-complex linear systems under uncertainty are tested to validate the effectiveness and correctness of the presented method
Citation Count: Salahshour, Soheil;...et.al. (2016). "A novelweak fuzzy solution for fuzzy linear system", Entropy, Vol.18, No.3.
A novelweak fuzzy solution for fuzzy linear system
(2016) Salahshour, Soheil; Ahmadian, Ali; Ismail, Fudziah; Baleanu, Dumitru; 56389
This article proposes a novel weak fuzzy solution for the fuzzy linear system. As a matter of fact, we define the right-hand side column of the fuzzy linear system as a piecewise fuzzy function to overcome the related shortcoming, which exists in the previous findings. The strong point of this proposal is that the weak fuzzy solution is always a fuzzy number vector. Two complex and non-complex linear systems under uncertainty are tested to validate the effectiveness and correctness of the presented method.