Alireza Ansari

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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)
In this article, we derive the Sheffer polynomials {S<sub>m</sub>(x, y)}<sub>m=1</sub><sup>&#x221E;</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 &#x03F5; R. When the function A(s, y) is entire, using the inverse Mellin transform we(More)
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)
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