• 제목/요약/키워드: Functional Solution Analysis

검색결과 312건 처리시간 0.027초

ON THE STABILITY OF DIFFERENTIAL SYSTEMS INVOLVING 𝜓-HILFER FRACTIONAL DERIVATIVE

  • Limpanukorn, Norravich;Ngiamsunthorn, Parinya Sa;Songsanga, Danuruj;Suechoei, Apassara
    • Nonlinear Functional Analysis and Applications
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    • 제27권3호
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    • pp.513-532
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    • 2022
  • This paper deals with the stability of solutions to 𝜓-Hilfer fractional differential systems. We derive the fundamental solution for the system by using the generalized Laplace transform and the Mittag-Leffler function with two parameters. In addition, we obtained some necessary conditions on the stability of the solutions to linear fractional differential systems for homogeneous, non-homogeneous and non-autonomous cases. Numerical examples are also given to illustrate the behavior of solutions.

ITERATIVE ALGORITHM FOR RANDOM GENERALIZED NONLINEAR MIXED VARIATIONAL INCLUSIONS WITH RANDOM FUZZY MAPPINGS

  • Faizan Ahmad, Khan;Eid Musallam, Aljohani;Javid, Ali
    • Nonlinear Functional Analysis and Applications
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    • 제27권4호
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    • pp.881-894
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    • 2022
  • In this paper, we consider a class of random generalized nonlinear mixed variational inclusions with random fuzzy mappings and random relaxed cocoercive mappings in real Hilbert spaces. We suggest and analyze an iterative algorithm for finding the approximate solution of this class of inclusions. Further, we discuss the convergence analysis of the iterative algorithm under some appropriate conditions. Our results can be viewed as a refinement and improvement of some known results in the literature.

A NOVEL FIXED POINT ITERATION PROCEDURE FOR APPROXIMATING THE SOLUTION OF IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS

  • James Abah Ugboh;Joseph Oboyi;Austine Efut Ofem;Godwin Chidi Ugwunnadi;Ojen Kumar Narain
    • Nonlinear Functional Analysis and Applications
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    • 제29권3호
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    • pp.841-865
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    • 2024
  • In this research, we propose a new efficient iterative method for fixed point problems of generalized α-nonexpansive mappings. We show the weak and strong convergence analysis of the proposed method under some mild assumptions on the control parameters. We consider the application of the new method to some real world problems such as convex minimization problems, image restoration problems and impulsive fractional differential equations. We carryout a numerical experiment to show the computational advantage of our method over some well known existing methods.

Overexpression of Cotton Glutathione S-Transferase (GST) cDNA and Increase of low Temperature and Salt Tolerance in Plants

  • Kang, Won-Hee;Jong Hwa kim;Lim, Jung-Dae;Yu, Chang-Yeon
    • Journal of Plant Biotechnology
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    • 제4권3호
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    • pp.117-122
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    • 2002
  • Cotton Glutathione S-Transferase(GST: EC 2.5.1.18) was cloned and Gh-5 cDNA was overexpressed in tobacco (Nicotiana tabacum) plants. The transformation of cotton GST in tobacco plant was confirmed by northern blot analysis. Type I and Type II transcript patterns were identified in Gh-5 transgenic tobacco plants. Type I transcripts was only discussed in this paper. Glutathione and 1-chloro-2,4-dinitrobenzene (CDNB) were used as the substrates, and the activity of GST in the type I transgenic plants was about 2.5-fold higher than the non-expressers and wild type tobacco plants. The expression of cotton GST in tobacco plants proved that Gh-5 could be translated into functional protein. Type I transgenic plants produced functional GST in the cells. Type I showed higher GST specific activity than Type II in the transgenic plants. Control and transgenic seedlings were grown in the growth chamber and under the light at 15$^{\circ}C$, and the effects of cotton GST in the seedlings was evaluated. The growth rate of Gh-5 overexpressors was better than the control and non-transgenic tobacco plants. Salinity tolerance was also analyzed on the seeds of transgenic plants. Seeds of Gh-5 overexpressors and the wild type tobacco seedlings were germinated and grown at 0, 50, 100, 150, and 200 mM NaCl solution. Gh-5 transgenic seedlings showed higher growth rate over control seedlings at both 50 and 100 mM NaCl solution. But at 0, 150, and 200 mM NaCl concentration, the difference in growth rate was not detected.

전산유체해석을 이용한 점도가 다른 이종 용액의 토출 비율 연구 (A study on the discharge ratio of two solutions with different viscosities using computational fluid analysis)

  • 고민성;위은찬;윤이섭;공정식;이중배;김민수;백승엽
    • Design & Manufacturing
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    • 제15권4호
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    • pp.43-50
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    • 2021
  • Pump-cap is a device for discharging the contents stored inside a container to the outside of the container by a simple operation by a certain amount. In particular, in recent years, as the number of cosmetic products made of functional materials has rapidly increased, the development of convenient containers for functional materials is being actively conducted. Among these, there are a growing number of products that show their efficacy only by mixing two components, so the development of a dual pump cap container is necessary. However, the conventional dual pump cap container has a problem in that it is difficult to implement a quantitative discharge as solutions having different viscosities are used. Therefore, in this study, a discharge port of a dual pump cap that can apply an optimal ratio was designed by analyzing the discharge amount of two components with different viscosities through computational fluid dynamics. Since the discharge amount is affected by the size of the discharge port, the higher the viscosity of the solution, the larger the discharge port should be set. Conversely, the lower the viscosity, the smaller the discharge port should be. Through this, it is possible to dispense a fixed amount of a heterogeneous solution by one pumping, and it is determined that the user's convenience will increase.

표면 처리에 따른 입상활성탄 및 활성탄소섬유의 중금속 흡착 (Adsorption of heavy metal ions onto a surface treated with granular activated carbon and activated carbon fibers)

  • 강광철;권수한;김승수;최종원;전관식
    • 분석과학
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    • 제19권4호
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    • pp.285-289
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    • 2006
  • 본 연구에서는 산 표면 처리한 입상 활성탄(GAC)과 활성 탄소섬유(ACF)에 의한 $Pb^{2+}$$Ni^{2+}$ 이온의 흡착 특성을 고찰하였다. 산 표면 처리용액으로는 1.0 M 질산 용액을 사용하였다. GAC와 ACF의 표면특성분석은 pH, 등전점(pHpzc), 그리고 원소분석기를 사용하였으며, 비표면적과 기공구조는 77K에서 $N_2$ 등온흡착 방법으로 측정하였다. 본 실험결과 GAC 와 ACF를 산으로 표면 처리한 경우 산소를 포함한 작용기가 증가하였다. 이처럼 산 표면 처리에 의해 증가된 표면 작용기에 따른 GAC 및 ACF의 기공이 막힘에도 불구하고, acidic-ACF > untreated-ACF > acdic-GAC > untreated-GAC 순으로 중금속 흡착능이 증가하였다.

산소감응성 입자 제조 및 특성 분석 연구 (Fabrication of Oxygen Sensitive Particles and Characteristic Analysis)

  • 정원택;이승재;김현동;김경천
    • 한국가시화정보학회지
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    • 제9권4호
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    • pp.41-46
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    • 2011
  • Oxygen sensitive functional particles(OSParticle) were fabricated by three different methods for using the particles as oxygen sensors and PIV tracers. The used methods were a physical coating method, an ion-exchange method and a dispersion polymerization method. The physical coating method is dipping $SiO_2$ hollow particles into dye solution then drying. This method is very simple, but particles are not uniform in diameter and luminescence. The particles fabricated by the ion-exchange method have very uniform diameter and well doped. However, it can not be used in water since the particles are hydrophobic. In case of the dispersion polymerization method, the diameter of OSParticles is quite uniform. The diameter of OSParticles can be changed by controlling the quantity of AIBN (2,2'-azobis isobutyronitrile). For the purpose of dissolved oxygen concentration measurement in micro scale water flows, the dispersion polymerized OSParticles turn out to be the most superior functional particles. The luminescent intensity of OSParticles was tested with the variation of dissolved oxygen concentration in water samples. As a result, the luminescent intensity of OSParticles is monotonically decreased with increasing DO (Dissolved oxygen) concentration of water.

녹차잎과 인삼잎의 중금속 흡착능 평가 연구 (Adsorption of Heavy Metals by Natural Adsorbents of Green Tea and Ginseng Leaves)

  • 김소현;송진영;윤광석;강은미;송호철
    • 한국지하수토양환경학회지:지하수토양환경
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    • 제22권5호
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    • pp.128-134
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    • 2017
  • This work presents the adsorption capability of green tea and ginseng leaves to adsorb heavy metals such as Cd(II), Cu(II), and Pb(II) in aqueous solution. FT-IR analysis indicates the presence of oxygen containing functional groups (carboxyl groups) in two kinds of leaves. High pH condition was favorable to the adsorption of heavy metal ions due to the enhanced electrostatic attraction and the precipitation reaction of metal ions. The adsorption of Cd(II), Cu(II), and Pb(II) reached equilibrium within 10 min, achieving high removal efficiencies of 80.3-97.5%. The adsorption kinetics data of heavy metal ions were fitted well with the pseudo-second-order kinetic model. The maximum adsorption amounts of Cd(II), Cu(II), and Pb(II) ions were 8, 3.5, and 15 mg/g, respectively, in the initial concentration range from 0.15 to 0.75 mM. Based on the fitting data obtained from isotherm models, heavy metal adsorption by green tea and ginseng leaves could occur via multi-layer sorption.

함산소불소화 효과에 의한 전기방사 활성탄소나노섬유의 $CO_2$ 저장 (Effect of oxyfluorination on activated electrospun carbon nanofibers for $CO_2$ storage)

  • 배병철;김종구;임지선;이영석
    • 한국신재생에너지학회:학술대회논문집
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    • 한국신재생에너지학회 2011년도 춘계학술대회 초록집
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    • pp.219.2-219.2
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    • 2011
  • The oxyfluorination effects of electrospun carbon nanofibers (OFACFs) were investigated for $CO_2$ storage. Carbon nanofibers were prepared form poly acrylonitrile / N,N-dimethylformamide solution through electrospinning method and heat treatment. Chemical activation of carbon nanofibers were carried out in order to improve the pore structure. And the surface modification of activated carbon nanofibers was conducted by oxyfluorination to improve the $CO_2$ storage on effect of introduced functional groups. The samples were labeled CF (electrospun carbon nanofiber), ACF (activated carbon nanofibers), OFACF-1 ($F_2:O_2$ = 3:7), OFACF-2 ($F_2:O_2$ = 5:5) and OFACF-3 ($F_2:O_2$ = 7:3). The functional group of OFACFs was investigated by x-ray photoelectron spectroscopy analysis. The specific surface area, pore volume and pore size of OFACFs were calculated and pore shape was estimated by the BET equation. Through the adsorption isotherm, the specific surface area and pore volume significantly decreased by oxyfluorination.

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비타민 C와 산화 게르마늄 및 셀레늄이 새싹에 미치는 영향 (Effect of Vitamin C, Germanium Oxide and Selenium Treatment on the during Cultivation of Sprouts)

  • 차배천;김명동;류혜숙
    • 한국식품영양학회지
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    • 제24권2호
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    • pp.226-232
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    • 2011
  • In this study, for development of functional sprouts, we have investigated the change of antioxidant activity and quantity of vitamin C, germanium and selenium according to the addition of vitamin C, germanium oxide and selenium oxide on the during cultivation of various sprouts. We were cultivated the sprouts using water solution added vitamin C, germanium oxide and selenium oxide on the system of cultivation instrument. Analysis of quantity of vitamin C on control group and treatment group were conducted by HPLC. Quantity of germanium and selenium were analyzed by ICP-MS(Inductively Coupled Plasma-Mass Spectrometer), and antioxidant activities were checked by DPPH method. As a result, quantity of vitamin C, germanium and selenium on the treatment groups have increased tendency compared to the control group. And antioxidant activity of treatment groups showed increasing tendency compared to the control group.