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JournalISSN: 0454-8124

Kyungpook Mathematical Journal 

Kyungpook National University
About: Kyungpook Mathematical Journal is an academic journal. The journal publishes majorly in the area(s): Meromorphic function & Ring (mathematics). It has an ISSN identifier of 0454-8124. It is also open access. Over the lifetime, 1090 publications have been published receiving 5965 citations.


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Journal ArticleDOI
TL;DR: In this article, the adaptive backstep-ping control design based on recursive feedback control was investigated for WINDMI (J. C. Sprott, 2003) and Coullet (P. Coullet et al, 1979) chaotic systems.
Abstract: In this paper, global chaos synchronization is investigated for WINDMI (J. C. Sprott, 2003) and Coullet (P. Coullet et al, 1979) chaotic systems using adaptive backstep- ping control design based on recursive feedback control. Our theorems on synchronization for WINDMI and Coullet chaotic systems are established using Lyapunov stability the- ory. The adaptive backstepping control links the choice of Lyapunov function with the design of a controller and guarantees global stability performance of strict-feedback chaotic systems. The adaptive backstepping control maintains the parameter vector at a predeter- mined desired value. The adaptive backstepping control method is efiective and convenient to synchronize and estimate the parameters of the chaotic systems. Mainly, this technique gives the ∞exibility to construct a control law and estimate the parameter values. Numeri- cal simulations are also given to illustrate and validate the synchronization results derived in this paper.

113 citations

Journal ArticleDOI
TL;DR: In this article, the authors introduce the concept of lacunary statistical and strongly convergence of generalized difference sequence of fuzzy real numbers and prove some inclusion relations and also study some of their properties.
Abstract: In this paper we introduce the concept of lacunary statistical and lacunary strongly convergence of generalized difference sequence of fuzzy real numbers. We prove some inclusion relations and also study some of their properties.

77 citations

Journal ArticleDOI
TL;DR: In this article, a 7-term 3-D novel jerk chaotic system with two quadratic nonlinearities has been proposed, and an adaptive backstepping controller is designed to achieve complete chaos synchronization.
Abstract: In this research work, a seven-term 3-D novel jerk chaotic system with two quadratic nonlinearities has been proposed. The basic qualitative properties of the novel jerk chaotic system have been described in detail. Next, an adaptive backstepping controller is designed to stabilize the novel jerk chaotic system with two unknown parameters. Moreover, an adaptive backstepping controller is designed to achieve complete chaos synchronization of the identical novel jerk chaotic systems with two unknown parameters. MATLAB simulations have been shown in detail to illustrate all the main results developed for the 3-D novel jerk chaotic system.

77 citations

Journal ArticleDOI
TL;DR: Fractional calculus has gained considerable popularity and importance during the past over four decades, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of mathematical, physical, engineering and statistical sciences as mentioned in this paper.
Abstract: The subject of fractional calculus (that is, the calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past over four decades, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of mathematical, physical, engineering and statistical sciences. Various operators of fractional-order derivatives as well as fractional-order integrals do indeed provide several potentially useful tools for solving differential and integral equations, and various other problems involving special functions of mathematical physics as well as their extensions and generalizations in one and more variables. The main object of this survey-cum-expository article is to present a brief elementary and introductory overview of the theory of the integral and derivative operators of fractional calculus and their applications especially in developing solutions of certain interesting families of ordinary and partial fractional “differintegral” equations. This general talk will be presented as simply as possible keeping the likelihood of non-specialist audience in mind. Received February 1, 2019; revised October 7, 2019; accepted October 29, 2019. 2020 Mathematics Subject Classification: primary 26A33, 33B15, 33C05, 33C20, 33E12, 34A25, 44A10, secondary 33C65, 34A05, 34A08.

67 citations

Journal Article
TL;DR: In this paper, necessary and sufficient conditions under which every pre-open set is open are given. But these conditions depend on the underlying topology of the set and the topology on the set.
Abstract: K1: Find necessary and sufficient conditions under which every preopen set is open. K2: Find conditions under which every dense-in-itself set is preopen. K3: Find conditions under which the intersection of any two preopen sets preopen. K4: If (X, τ) is a topological space, let τ ∗ denote the topology on X obtained by taking the collection of all preopen sets of (X, τ) as a subbase. Find conditions under which τ ∗ is discrete. ∗AMS Subject Classification : 54 A 05, 54 A 10;

66 citations

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Performance
Metrics
No. of papers from the Journal in previous years
YearPapers
202110
202018
201916
20185
201716
201695