• Title/Summary/Keyword: semilinear fuzzy integrodifferential equation

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Existence and Uniqueness of Solutions for the Semilinear Fuzzy Integrodifferential Equations with Nonlocal Conditions and Forcing Term with Memory

  • Kwun, Young-Chel;Park, Jong-Seo;Kim, Seon-Yu;Park, Jin-Han
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.6 no.4
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    • pp.288-292
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    • 2006
  • Many authors have studied several concepts of fuzzy systems. Balasubramaniam and Muralisankar (2004) proved the existence and uniqueness of fuzzy solutions for the semilinear fuzzy integrodifferential equation with nonlocal initial condition. Recently, Park, Park and Kwun (2006) find the sufficient condition of nonlocal controllability for the semilinear fuzzy integrodifferential equation with nonlocal initial condition. In this paper, we study the existence and uniqueness of solutions for the semilinear fuzzy integrodifferential equations with nonlocal condition and forcing term with memory in $E_{N}$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_{N}$.

The existence and uniqueness of fuzzy solutions for semilinear fuzzy integrodifferential equations using integral contractor

  • Lee, Bu-Young;Kwun, Young-Chel;Ahn, Young-Chel;Park, Jin-Han
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.9 no.4
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    • pp.339-342
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    • 2009
  • In this paper, we investigate the existence and uniqueness of fuzzy solutions for semilinear fuzzy integrodifferential equations using integral contractor. The notion of 'bounded integral contractor', introduced by Altman[1], is weaker than Lipschitz condition.

Existence of Solutions for the Semilinear Fuzzy Integrodifferential Equations (준선형 퍼지적분미분방정식에 대한 해의 존재성)

  • Gwon, Yeong-Cheol;Kim, Mi-Ju;Lee, Bu-Yeong
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2008.04a
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    • pp.26-28
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    • 2008
  • This paper is to investigate the existence theorem for the semilinear fuzzy integrodifferential equation in ${E_N}$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in ${E_N}$. Main tool is successive iteration method.

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Existence of Solutions for the Semilinear Fuzzy Integrodifferential Equations using by Successive Iteration

  • Kwun, Young-Chel;Kim, Mi-Ju;Lee, Bu-Young;Park, Jin-Han
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.4
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    • pp.543-548
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    • 2008
  • This paper is to investigate the existence theorem for the semilinear fuzzy integrodifferential equation in $E_N$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_N$. Main tool is successive iteration method.

Controllability for the Semilinear Fuzzy Integrodifferential Equations with Nonlocal Conditions and Forcing Term with Memory

  • Yoon, Joung-Hahn;Kwun, Young-Chel;Park, Jong-Seo;Park, Jin-Han
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.7 no.1
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    • pp.34-40
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    • 2007
  • Balasubramaniam and Muralisankar (2004) proved the existence and uniqueness of fuzzy solutions for the semilinear fuzzy integrodifferential equations with nonlocal initial condition. Park et al. (2006) found the sufficient condition of this system. Recently, Kwun et al. (2006) proved the existence and uniqueness of solutions for the semilinear fuzzy integrodifferential equations with nonlocal initial conditions and forcing term with memory in $E_N$. In this paper, we study the controllability for this system by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_N$.

Controllability for the Semilinear Fuzzy Integrodifferential Equations with Nonlocal Conditions and Forcing Term with Memory (기억을 갖는 강제항과 비국소조건을 갖는 준선형 퍼지 적분미분방정식에 대한 제어가능성)

  • Kwun, Young-Chel;Ahn, Young-Chel;Park, Dong-Gun;Kim, Seon-Yu
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.04a
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    • pp.213-216
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    • 2007
  • In this paper. we study the controllability for the semilinear fuzzy integrodifferential equations with nonlocal condition and forcing term with memory in $E_N$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_N$.

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Controllability for the Semilinear Fuzzy Integrodifferential Equations with Nonlocal Conditions (비국소조건을 가지는 준선형퍼지적분미분방정식에 대한 제어가능성 모델링과 퍼지 제어에 관한 연구)

  • Kwun Young-Chel;Park Dong-Gun;Choi Gyu-Tak
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2006.05a
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    • pp.67-70
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    • 2006
  • In this paper. we study the controllability for the semilinear fuzzy integrodifferential control system with nonlocal condition in $E_N$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_N$.

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Controllability for the Impulsive Semilinear Fuzzy Integrodifferential Equations with Nonlocal Conditions (비국소조건을 가지는 충격 준선형퍼지적분미분방정식에 대한 제어 가능성)

  • Kwun, Young-Chel;Ahn, Young-Chel;Park, Dong-Gun;Kim, Seon-Yu
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2006.11a
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    • pp.275-278
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    • 2006
  • In this paper. we study the controllability for the impulsive semilinear fuzzy integrodifferential equations with nonlocal condition in $E_{N}$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_{N}$.

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