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and Applied Analysis 3 fractional order to distributed order fractional. In Section 4, we introduce the distributed order fractional evolution systems C doD α t x t A C doD β t x t Bu t , x 0 x0, 0 < β < α ≤ 1, 1.5 where u t is control vector, and generalize the results obtained in Section 3 for this case. Finally, the conclusions are given in the last… (More)

Hyperstructure theory was born in 1934 when Marty [9] defined hypergroups, began to analyze their properties and applied them to groups, rational algebraic functions. Now they are widely studied from theoretical point of view and for their applications to many subjects of pure and applied properties. In 1986, Sen and Saha [12] introduced the concept of… (More)

We introduce the concept of bipolar (λ, δ)-fuzzification of a ternary semigroup and discuss some structural properties of bipolar (λ, δ)-fuzzy ideals of a ternary semigroup. Mathematics Subject Classification: 20N10, 20M12, 03E72

- Alireza Ansari, Hassan Askari
- Applied Mathematics and Computation
- 2014

- Alireza Ansari, Hassan Askari
- ICFDA'14 International Conference on Fractional…
- 2014

In this article, we derive the Sheffer polynomials {S<sub>m</sub>(x, y)}<sub>m=1</sub><sup>∞</sup> in two variables as the coefficient set of the generating function A(t, y)e<sup>xt</sup>, where A(s, y) is a complex function with respect to complex variable s and y ϵ R. When the function A(s, y) is entire, using the inverse Mellin transform we… (More)

- Hossein Noroozi, Alireza Ansari, Mohammad Shafi Dahaghin, Yongfu Su
- 2014

and Applied Analysis 3 Definition 2.3. The distributed order fractional hybrid differential equation DOFHDEs , involving the Riemann-Liouville differential operator of order 0 < q < 1 with respect to the nonnegative density function b q > 0, is defined as ∫1 0 b ( q ) D [ x t f t, x t ] dq g t, x t , t ∈ J, ∫1 0 b ( q ) dq 1, x 0 0. 2.3 Moreover, the… (More)

- Alireza Ansari
- Applied Mathematics and Computation
- 2013

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