• Title/Summary/Keyword: continuous-type

Search Result 2,089, Processing Time 0.031 seconds

HADAMARD-TYPE FRACTIONAL CALCULUS

  • Anatoly A.Kilbas
    • Journal of the Korean Mathematical Society
    • /
    • v.38 no.6
    • /
    • pp.1191-1204
    • /
    • 2001
  • The paper is devoted to the study of fractional integration and differentiation on a finite interval [a, b] of the real axis in the frame of Hadamard setting. The constructions under consideration generalize the modified integration $\int_{a}^{x}(t/x)^{\mu}f(t)dt/t$ and the modified differentiation ${\delta}+{\mu}({\delta}=xD,D=d/dx)$ with real $\mu$, being taken n times. Conditions are given for such a Hadamard-type fractional integration operator to be bounded in the space $X^{p}_{c}$(a, b) of Lebesgue measurable functions f on $R_{+}=(0,{\infty})$ such that for c${\in}R=(-{\infty}{\infty})$, in particular in the space $L^{p}(0,{\infty})\;(1{\le}{\le}{\infty})$. The existence almost every where is established for the coorresponding Hadamard-type fractional derivative for a function g(x) such that $x^{p}$g(x) have $\delta$ derivatives up to order n-1 on [a, b] and ${\delta}^{n-1}[x^{\mu}$g(x)] is absolutely continuous on [a, b]. Semigroup and reciprocal properties for the above operators are proved.

  • PDF

COMMON FIXED POINT THEOREMS FOR TWO MAPPINGS WITH ψ-ϕ-CONTRACTIVE OR EXPANSIVE TYPE CONDITIONS ON COMPLEX-VALUED METRIC SPACES

  • JIN, HAI-LAN;PIAO, YONG-JIE
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.28 no.3
    • /
    • pp.451-463
    • /
    • 2015
  • A continuous and non-decreasing function ${\psi}$ and another continuous function ${\phi}$ with ${\phi}(z)=0{\Leftrightarrow}z=0$ defined on $\mathbb{C}^+=\{x+yi:x,y{\geq}0\}$ are introduced, the ${\psi}-{\phi}$-contractive or expansive type conditions are considered, and the existence theorems of common fixed points for two mappings defined on a complex valued metric space are obtained. Also, Banach contraction principle and a fixed point theorem for a I-expansive type mapping are given on complex valued metric spaces.

Continuous Ethanol Production from Starch by Simultaneous Saccharification and Fermentation in a Tapered Column Fermentor (역원추형 발효조에서의 동시당화발효에 의한 전분으로 부터의 연속 에탄올 발효)

  • 김철호;유연우김철이상기
    • KSBB Journal
    • /
    • v.5 no.4
    • /
    • pp.329-334
    • /
    • 1990
  • In an attempt to develop a novel process for ethanol production from starch, a simultaneous saccharification and fermentation (SSF) process using Zymomonas mobilis and amyloglucosidase (AMG) was studied in continuous modes. Compared with a conventional cylindrical column type of fermentor, the tapered column type of fermentor was found to be superior in terms of reactor performance for ethanol fermentation. The tapered columm fermentor packed with coimmobilized Z. mobilis and AMG alleviated the problems which were associated with CO2 evolution and provided a significantly better flow pattern for both liquid and gas phases in the fermentor without channelling. However, the fluidized bed type of tapered column fermentor using flocculent strain of Z. mobiles and immobilized AMG showed lower productivity (5.2g/1/h) than that of packed bed type of tapered column fermentor(9.2g/l/h).

  • PDF

An Experimental Study for the Application of Steel Anchorage Zone in Steel-Confined Prestressed Concrete Girder (강재로 구속된 프리스트레스트 콘크리트 합성거더의 강재 정착부 적용을 위한 실험적 고찰)

  • Kim, Jung-Ho;Lee, Sang-Yoon;Hwang, Yoon-Gook;Park, Kyung-Hoon;Oh, Chang-Yeol
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 2005.05a
    • /
    • pp.455-458
    • /
    • 2005
  • The Steel-Confined Prestressed Concrete Girder(SCP Girder) has been developed, which maximizes structural advantages of components (concrete, steel plate and tendon) and can be used to construct the middle or long span bridge with low-height girder. And recently, a continuous beam type of SCP Girder has been being developed to decrease size and self weight of girder in comparison with a simply-supported type. In this study, as part of developing the continuous beam type of SCP Girder, a new type of anchorage zone is proposed in order to address tendons effectively and decrease section size of SCP Girder efficiently. And also, the experimental test was carried out using a real scale specimen to examine the behavior of proposed anchorage zone.

  • PDF

Heat Transfer Performance of Evaporator Used in a Domestic Refrigerator/Freezer Under Frosting Condition (착상을 고려한 가정용 냉동/냉장고 증발기의 열전달 성능)

  • Lee Jang-Seok;Lee Kwan-Soo
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.17 no.1
    • /
    • pp.62-70
    • /
    • 2005
  • In this study, the air-side heat transfer coefficients of several types of evaporators in the household freezer/refrigerators are investigated. The types considered in this work are: discrete flat plate fin-and-tube type(in-lined tube array), continuous flat plate fin-and-tube type(staggered tube array), and spine fin-and-tube type(in-lined tube array). The heat transfer correlations obtained from this study for each heat exchangers could expect heat transfer coefficients less than $5\%$ of errors. The result indicates that the air-side heat transfer performance of spine fin-and-tube type evaporator shows the highest value under dry conditions, but discrete flat plate fin-and-tube type evaporator shows the highest value among these three evaporators under frosting conditions.

Effects of Uncertainty on Continuous Intention by Type of Subscription: The Mediating Role of Ease of Justification (구독서비스 가입형태에 따른 불확실성 지각이 지속사용의도에 미치는 영향: 정당화 용이성의 매개효과를 중심으로)

  • Jae Yong, Park;Yong Seok, Sohn
    • Journal of Industrial Convergence
    • /
    • v.20 no.11
    • /
    • pp.165-175
    • /
    • 2022
  • The purpose of this study is to understand the effect of membership type for subscription service (individual subscription vs. group subscription) on continuous intention, and to verify the mediating effect of ease of justification and the moderated mediating effect of uncertainty. An experiment was conducted on 78 university students. As a result, consumers who use subscription services in group subscription showed higher intention to continue using the subscription service than consumers who use the subscription service in individual subscription. Also, the ease of justification mediates the effect on the intention to continue using. In addition, uncertainty was found to moderating effect of ease of justification on continuous use intention according to the type of subscription. This study understands the psychological mechanism of consumers according to the type of subscription service subscription and provides useful implications for companies that provide subscription services.

A Study on the Tuning Parameter of Continuous Variable Valve for Reverse Continuous Damper (리버스 무단 댐퍼용 연속가변밸브의 튜닝 파라미터에 관한 연구)

  • 윤영환;최명진;유송민
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.10 no.3
    • /
    • pp.192-200
    • /
    • 2002
  • Semi-active suspension systems are greatly expected to be in the mainstream of future controlled suspensions for passenger cars. In this study, a continuous variable damper for a passenger car suspension is developed, which is controlled actively and exhibits high performance with light weight, low cost, and low energy consumption. To get fast response of the damper, reverse damping mechanism is adapted, and to get small pressure change rate after blow-off, a pilot controlled proportional valve is designed and analyzed. The reverse continuous variable damper is designed as a HS-SH damper that offers good body control with reduced transferred input force from tire, compared with any other type of suspension system. The damper structure is designed, so that rebound and compression damping force can be tuned independently, of which variable valve is placed externally. The rate of pressure change with respect to the flow rate after blow-off becomes smooth when the fixed orifice size increases, which means that the blow-off slope is controllable using the fixed orifice size. The damping force variance is wide and continuous, and is controlled by the spool opening, of which scheme is usually adapted in proportional valves. The reverse continuous variable damper developed in this study is expected to be utilized in the semi-active suspension systems in passenger cars after its performance and simplicity of the design is confirmed through real car test.

Study of Convex Cyclone with Continuous Curve (연속적인 곡선으로 정의 되는 볼록한 형상의 사이클론에 대한 연구)

  • Heo, Kwang-Su;Seol, Seoung-Yun;Li, Zhen-Zhe
    • Proceedings of the KSME Conference
    • /
    • 2007.05b
    • /
    • pp.2757-2762
    • /
    • 2007
  • A cyclone design concept named Convex cyclone was developed to reduce pressure losses. Contrary to conventional cylinder-on-con type cyclone, inner wall of Convex cyclone are defined with a continuous curve and it has convex shape body. The discontinuity of inner diameter variation rate of cylinder-on-con type cyclone cause additional pressure loss. Continuous wall of Convex cyclone prevent additional pressure loss. In order to verify Convex cyclone design concept, we make a comparative experiments between Stairmand HE and Convex cyclone. Experimental Convex cyclone designed based on Stairmand HE model, and inner wall are defined with circular arch. The experimental result clearly shows that Convex cyclone can achieve maximum 50% pressure loss reduction with a few percent of collection efficiency drop. In addition, the experimental results indicated the existence of optimum convexity, minimum pressure loss, of cyclone wall.

  • PDF

Stationary distribution of the surplus process in a risk model with a continuous type investment

  • Cho, Yang Hyeon;Choi, Seung Kyoung;Lee, Eui Yong
    • Communications for Statistical Applications and Methods
    • /
    • v.23 no.5
    • /
    • pp.423-432
    • /
    • 2016
  • In this paper, we stochastically analyze the continuous time surplus process in a risk model which involves a continuous type investment. It is assumed that the investment of the surplus to other business is continuously made at a constant rate, while the surplus process stays over a given sufficient level. We obtain the stationary distribution of the surplus level and/or its moment generating function by forming martingales from the surplus process and applying the optional sampling theorem to the martingales and/or by establishing and solving an integro-differential equation for the distribution function of the surplus level.

Novel Electromagnetic Induction Eddy Current DPH based Continuous Pipeline Fluid Heating using Soft Switching PWM High Frequency Inverter

  • Nam, Jing-Rak
    • Journal of information and communication convergence engineering
    • /
    • v.6 no.3
    • /
    • pp.305-309
    • /
    • 2008
  • This paper presents an innovative prototype of a new conceptual electromagnetic induction eddy current based fluid heating appliance using voltage-fed quasi resonant zero voltage soft switching PWM high-frequency inverter using IGBTs, which can operate at a constant frequency variable power regulation scheme. The promising simple high efficient low noise inverter type electromagnetic induction eddy current based pipeline fluid heating appliance is proposed for saturated steam generator, superheated steam generator, hot water and hot air producer, metal catalyst heating for exhaust gas cleaning in engine. Under these technological backgrounds, a novel electromagnetic induction eddy current Dual Packs Heater(DPH) based pipeline fluid heating incorporates thin metal layer type package for continuous fluid heating appliances applying two types of voltage-fed quasi load resonant ZVS-PWM high frequency inverter. The unique features of a novel electromagnetic induction eddy current DPH based continuous pipeline fluid heating appliance is illustrated on the basis of simulation and discussed for the steady state operating characteristics and experimental results.