Global Analysis and Discrete MathematicsGlobal Analysis and Discrete Mathematics
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Sun, 21 Oct 2018 02:43:55 +0100FeedCreatorGlobal Analysis and Discrete Mathematics
http://gadm.du.ac.ir/
Feed provided by Global Analysis and Discrete Mathematics. Click to visit.Hybrid Fuzzy Fractional Differential Equations by Hybrid Functions Method
http://gadm.du.ac.ir/article_93_19.html
In this paper, we study a new operational numerical method for hybrid fuzzy fractional differential equations by using of the hybrid functions under generalized Caputo- type fuzzy fractional derivative. Solving two examples of hybrid fuzzy fractional differential equations illustrate the method.Sun, 31 Dec 2017 20:30:00 +0100A Method for Solving Optimal Control Problems Using Genetic Programming
http://gadm.du.ac.ir/article_94_19.html
This paper deals with a novel method for solving optimal control problems based on genetic programming. This approach produces some trial solutions and seeks the best of them. If the solution cannot be expressed in a closed analytical form then our method produces an approximation with a controlled level of accuracy. Using numerical examples, we will demonstrate how to use the results.Sun, 31 Dec 2017 20:30:00 +0100A New Optimal Solution Concept for Fuzzy Optimal Control Problems
http://gadm.du.ac.ir/article_95_19.html
In this paper, we propose the new concept of optimal solution for fuzzy variational problems based on the possibility and necessity measures. Inspired by the well–known embedding theorem, we can transform the fuzzy variational problem into a bi–objective variational problem. Then the optimal solutions of fuzzy variational problem can be obtained by solving its corresponding biobjective variational problem.Sun, 31 Dec 2017 20:30:00 +0100On Marginal Automorphisms of a Group Fixing the Certain Subgroup
http://gadm.du.ac.ir/article_96_19.html
Let W be a variety of groups defined by a set W of laws and G be a finite p-group in W. The automorphism α of a group G is said to bea marginal automorphism (with respect to W), if for all x ∈ G, x−1α(x) ∈ W∗(G), where W∗(G) is the marginal subgroup of G. Let M,N be two normalsubgroups of G. By AutM(G), we mean the subgroup of Aut(G) consistingof all automorphisms which centralize G/M. AutN(G) is used to show thesubgroup of Aut(G) consisting of all automorphisms which centralize N. We denote AutN(G)∩AutM(G) by AutMN (G). In this paper, we obtain a necessary and sufficient condition that Autw∗ (G) = AutW∗(G)W∗(G)(G).Sun, 31 Dec 2017 20:30:00 +0100A Note on the Descent Property Theorem for the Hybrid Conjugate Gradient Algorithm CCOMB ...
http://gadm.du.ac.ir/article_97_19.html
In [1] (Hybrid Conjugate Gradient Algorithm for Unconstrained Optimization J. Optimization. Theory Appl. 141 (2009) 249 - 264), an efficient hybrid conjugate gradient algorithm, the CCOMB algorithm is proposed for solving unconstrained optimization problems. However, the proof of Theorem 2.1 in [1] is incorrect due to an erroneous inequality which used to indicate the descent property for the search direction of the CCOMB algorithm. It is also remarkable that the proof of the Theorem 2.2 should be revised. Following the notations in [1], the main goal of this note is to provide some necessary corrections to rectify the mentioned issues.Sun, 31 Dec 2017 20:30:00 +0100Some Results on Baer's Theorem
http://gadm.du.ac.ir/article_98_19.html
Baer has shown that, for a group G, finiteness of G=Zi(G) implies finiteness of ɣi+1(G). In this paper we will show that the converse is true provided that G=Zi(G) is finitely generated. In particular, when G is a finite nilpotent group we show that |G=Zi(G)| divides |ɣi+1(G)|d′ i(G), where d′i(G) =(d( G /Zi(G)))i.Sun, 31 Dec 2017 20:30:00 +0100