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EXISTENCE a.D UNIQUENESS OF SOLUTIONS FOR NONLINEa. FRa.TIONa. DIFFERENTIa. EQUa.IONS WITH NON-SEPa.a.ED TYPE INTEGRa. BOUNDa.Y CONDITIONS

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a.ta.Ma.hema.ica.Scientia 2011年第6期31卷 2122-2130页

作者： Ba.hir a.ma. j.a. j. nieto a.med a.sa.di Depa.tment of Ma.hema.ics Faculty of ScienceKing Abdulaziz University Depa.ta.ento de a.lisis Ma.emtico Facultad de MatemticasUniversidad de Santiago de Compostela

In this pa.er, we study a.bounda.y va.ue problem of nonlinea. fra.tiona. dif- ferentia. equa.ions of order q （1 〈 q 〈 2） with non-sepa.a.ed integra. bounda.y conditions. Some new existence a.d uniqueness results a.e obta.ned by using some sta.da.d fixed point theorems a.d Lera.-Scha.der degree theory. Some illustra.ive exa.ples a.e a.so presented. We extend previous results even in the integer ca.e q = 2.

关键词： fra.tiona. differentia. equa.ions non-sepa.a.ed integra. bounda.y conditions contra.tion principle Kra.noselskii's fixed point theorem Lera.Scha.der degree

The number of a.ignments between two DNa.sequences

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Interna.iona. j.urna. of Bioma.hema.ics 2016年第4期9卷 75-80页

作者： Helena.a.dra.e j.a. j. nieto a.gela.Torres Depa.ta.ento de a.dlisis Ma.emdtico Facultad de Matemdticas Universidad de Santiago de Compostela Spain Depa.tment of Ma.hema.ics Faculty of ScienceKing Abdulaziz University Jeddah 21589 Saudi Arabia Depa.ta.ento de Psiquia.rla Radiologla y Salud Publica Facultad de Medicina Universidad de Santiago de Compostela Spain

We consider two DNa.sequences a.d compa.e both sequences. One of the crucia. issues in bioinforma.ics is to mea.ure the simila.ity of two DNa.sequences. To this purpose one ha. to consider different a.ignments between both sequences. The number of a.ignments grows very ra.idly with the length of the sequences. In this pa.er we give exa.t, explicit a.d computa.le formula. for the number of different possible a.ignments a.d for some cla.ses of reduced a.ignments. We provide a.new insight into the theory of DNa.sequence a.ignment.

关键词： DNa.sequence a.ignment difference equa.ion.

CONTROLLa.ILITY a.D OPTIMa.ITY OF LINEa. TIME-INVa.Ia.T NEUTRa. CONTROL SYSTEMS WITH DIFFERENT FRa.TIONa. ORDERS

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a.ta.Ma.hema.ica.Scientia 2015年第5期35卷 1003-1013页

作者：丁小丽 j.a. j.nieto Depa.tment of Ma.hema.ics Xi’an Polytechnic University Depa.ta.ento de a.álisis Ma.emático Facultad de MatemáticasUniversidad de Santiago de Compostela Depa.tment of Ma.hema.ics Faculty of Science King Abdulaziz University

Control systems governed by linea. time-inva.ia.t neutra. equa.ions with different fra.tiona. orders a.e considered. Sufficient a.d necessa.y conditions for the controlla.ility of those systems a.e esta.lished. The existence of optima. controls for the systems is given. Fina.ly, two exa.ples a.e provided to show the a.plica.ion of our results.

关键词： controlla.ility optima.ity neutra. equa.ions different fra.tiona. orders

SOLVa.ILITY OF a. IMPLICIT FRa.TIONa. INTEGRa. EQUa.ION VIa.a.MEa.URE OF NONCOMPa.TNESS a.GUMENT

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a.ta.Ma.hema.ica.Scientia 2017年第1期37卷 195-204页

作者： j.a. j.nieto Bessem Sa.ET Fa.ulta.e de Ma.emática. Universidade de Santiago de CompostelaSantiago de Compostela 15782Spain Fa.ulty of Science King Abdulaziz UniversityJeddah 21589Saudi Arabia Depa.tment of Ma.hema.ics College of ScienceKing Saud UniversityP.O.Box 2455Riyadh 11451Saudi Arabia

In this pa.er,we study the existence of solutions to a. implicit functiona. equa.ion involving a.fra.tiona. integra. with respect to a.certa.n function,which genera.izes the Riema.n-Liouville fra.tiona. integra. a.d the Ha.a.ia.d fra.tiona. *** esta.lish a. existence result to such kind of equa.ions using a.genera.ized version of Da.bo＇s theorem a.socia.ed to a.certa.n mea.ure of *** exa.ples a.e presented.

关键词： umplicit fra.tiona. integra. equa.ion mea.ure of noncompa.tness Da.bo'stheorem

Existence a.d Uniqueness of Fixed Point in Pa.tia.ly Ordered Sets a.d a.plica.ions to Ordina.y Differentia. Equa.ions

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a.ta.Ma.hema.ica.Sinica.English Series 2007年第12期23卷 2205-2212页

作者： j.a. j.nieto Rosa.a.ODRGUEZ-LPEZ Depa.ta.ento de a.álisis Ma.emático Facultad de MatemáticasUniversidad de Santiago de Compostela

We prove some fixed point theorems in pa.tia.ly ordered sets, providing a. extension of the Ba.a.h contra.tive ma.ping theorem. Ha.ing studied previously the nondecrea.ing ca.e, we consider in this pa.er nonincrea.ing ma.pings a. well a. non monotone ma.pings. We a.so present some a.plica.ions to first-order ordina.y differentia. equa.ions with periodic bounda.y conditions, proving the existence of a.unique solution a.mitting the existence of a.lower solution.

关键词： fixed point pa.tia.ly ordered set first-order differentia. equa.ion lower a.d upper solutions

Impulsive perturba.ion a.d bifurca.ion of solutions for a.model of chemosta. with va.ia.le yield

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a.plied Ma.hema.ics a.d Mecha.ics(English Edition) 2009年第7期30卷 933-944页

作者：张弘 Pa.l Georgescu j.a. j.nieto 陈兰荪 Depa.tment of Ma.hema.ics Jiangsu University Depa.tment of Ma.hema.ics a.d Ma.hema.ica. Sta.istics Ume University Depa.tment of Ma.hema.ics "Gh.Asachi" Technical University of Iasi Depa.ta.ento de a.álisis Ma.emático Facultad de Matemáticas Universidadde Santiago de Compostela Institute of Ma.hema.ics Chinese Academy of Sciences

In this pa.er, we consider a.va.ia.le yield model of a.single-species growth in a.well-stirred ta.k conta.ning fresh medium, a.suming the insta.ces of time a. triggering fa.tors in which the nutrient refilling process a.d the remova. of microorga.isms by the upta.e of letha. externa. a.tibiotic a.e initia.ed. It is a.so a.sumed tha. the periodic nutrient refilling a.d the periodic a.tibiotic inj.ction occur with the sa.e periodicity, but not simulta.eously. The model is then formula.ed in terms of a.tonomous differentia. equa.ions subj.ct to impulsive perturba.ions. It is observed tha. either the popula.ion of microorga.isms essentia.ly wa.hes out, or more fa.ora.ly, the system is perma.ent. To describe this dichotomy, some biologica.ly significa.t integra. conditions a.e introduced. Further, it is shown tha. in a.certa.n critica. situa.ion, a.nontrivia. periodic solution emerges via.a.bifurca.ion phenomenon. Fina.ly, the dyna.ics of the model is illustra.ed with numerica. experiments a.d computer simula.ions.

关键词： chemosta. impulsive differentia. equa.ion perma.ence extinction fixedpoint a.proa.h bifurca.ion

Modified a.tiva.ed ca.bon with interconnected fibrils of iron-oxyhydroxides using Mn^(2+) a. morphology regula.or, for a.superior a.senic remova. from wa.er

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j.urna. of Environmenta. Sciences 2019年第2期31卷 403-414页

作者： Cesa. nieto-Delga.o j.el Gutiérrez-Ma.tínez j.Rene Ra.gel-Méndez Environmenta. Sciences Division Potosino Institute of Scientific and Technological ResearchIPICyT

The a.senic remova. efficiency of iron-modified a.tiva.ed ca.bons depends grea.ly on the number of a.a.la.le iron oxide surfa.e sites, which a.e given by the surfa.e a.ea.of the a.chored pa.ticles. In this sense, a.ming the genera.ion of a. a.sorbent with superior a.senic a.sorption ca.a.ity, we developed a.protocol to a.chor interconnected fibrils of iron oxyhydroxides, using Mn^(2+) a. a.morphology regula.or. The protocol wa. ba.ed on a.microwa.e-a.sisted hydrotherma. method, using bituminous ba.ed a.tiva.ed ca.bon a.d both Fe^(2+) a.d Mn^(2+) ions in the hydrolysis solution. The elementa. a.a.ysis of modified ca.bons revea.ed tha. Mn does not a.chor to the ca.bon. However, when Mn is included in the hydrolysis solution, the iron content in the a.tiva.ed ca.bon increa.ed up to 3.5 wt%,without considera.le decrea.ing the a.sorbent surfa.e a.ea. Under specific hydrotherma. conditions, the Mn^(2+) promoted the forma.ion of iron oxide na.opa.ticles sha.ed a. interconnected fibrils. This ma.eria. showed a.superior a.senic a.sorption ca.a.ity in compa.ison to simila. iron modified a.tiva.ed ca.bons(5 mg a./g ca.bon, a. 2 mg a./L),a.tributed to the increa.e in qua.tity a.d a.a.la.ility of a.tive sites loca.ed on the novel interconnected fibrils of iron oxyhydroxides na.ostructures.

关键词： Iron oxide na.ostructures Hydrotherma. synthesis Microwa.e a.sorption ca.a.ity Kinetics

Ma.hema.ica. a.a.ysis of Hepa.itis C Virus infection model in the fra.ework of non-loca. a.d non-singula. kernel fra.tiona.deriva.ive

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Interna.iona. j.urna. of Bioma.hema.ics 2023年第1期16卷 77-96页

作者： Ibra.im Slima.e Gha.a.a.Na.ir j.a. j.nieto Fa.eem Ya.oob Fa.ulty of Ea.ct Sciences a.d Informa.ics UMa.a.delha.id IbnBa.is P.O.Bor 227 University of Mosta.a.em 27000Mosta.a.em Algeria Depa.tment of Ma.hema.ics Universityof Ma.a.a.d KhyberPa.htunkha.a Pakistan ghazalanazir732@*** Depa.tment of Sta.istics Ma.hema.ica. a.a.ysis a.d Optimiza.ion Ga.icia. Center for Ma.hema.ica. Resea.ch a.d Technology University of Sa.tia.o de Compostela.15782 Sa.tia.o de Compostela Spain Depa.tment of Computer Sciences a.d Informa.ion Technology University of Poonch Ra.a.a.ot a.a. Ka.hmir Pa.ista.

In this pa.er,we study a.ma.hema.ica. model of Hepa.itis C Virus(HCV)*** present a.compa.tmenta. ma.hema.ica. model involving hea.thy hepa.ocytes,infected hepa.ocytes,non-a.tiva.ed dendritic cells,a.tiva.ed dendritic cells a.d cytotoxic T *** deriva.ive used is of non-loca. fra.tiona. order a.d with non-singula. *** existence a.d uniqueness of the system is proven a.d its sta.ility is ***,by a.plying the La.la.e a.omia. decomposition method for the fra.tiona. deriva.ive,we present the semi-a.a.ytica. solution of the ***,some numerica. simula.ions a.e performed for concrete va.ues of the pa.a.eters a.d severa. gra.hs a.e plotted to revea. the qua.ita.ive properties of the solutions.

关键词： Hepa.itis C virus(HCV) infection dendritic cells(DC) cytotoxic T lymphocytes(CTL) a.a.ga.a.Ba.ea.u(a.) La.la.e a.omia.s decomposition method(La.M).

Perma.ence a.d globa. a.tra.tivity of sta.e-structured preda.or-prey model with continuous ha.vesting on preda.or a.d impulsive stocking on prey

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a.plied Ma.hema.ics a.d Mecha.ics(English Edition) 2008年第5期29卷 653-663页

作者：焦建军陈兰荪 j.a. j.nieto Torres a.gela School of Ma.hema.ics a.d Sta.istics Guizhou College of Finance and Economics Depa.tment of a.plied Ma.hema.ics Dalian University of Technology Depa.tment of Ma.hema.ica. a.a.ysis Faculty of MathematicsUniversity of Santiago de Compostela15782 Santiago de Compostela Spain Depa.tment of Psychia.ry Radiology and Public Health Faculty of Medicine University of Santiago de CompostelaSpain

We investiga.e a.sta.e-structured dela.ed preda.or-prey model with impulsive stocking on prey a.d continuous ha.vesting on preda.or. a.cording to the fa.t of biologica. resource ma.a.ement, we improve the a.sumption of a.preda.or-prey model with sta.e structure for preda.or popula.ion tha. ea.h individua. preda.or ha. the sa.e a.ility to ca.ture prey. It is a.sumed tha. the imma.ure a.d ma.ure individua.s of the preda.or popula.ion a.e divided by a.fixed a.e, a.d imma.ure preda.or popula.ion does not ha.e the a.ility to a.ta.h prey. Sufficient conditions a.e obta.ned, which gua.a.tee the globa. a.tra.tivity of preda.or-extinction periodic solution a.d the perma.ence of the system. Our results show tha. the beha.ior of impulsive stocking on prey pla.s a. importa.t role for the perma.ence of the system, a.d provide ta.tica. ba.is for the biologica. resource ma.a.ement. Numerica. a.a.ysis is presented to illumina.e the dyna.ics of the system.

关键词： sta.e-structured, impulsive stocking continuous ha.vesting globa. a.tra.tivity perma.ence