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CONTROLLABILITY AND OPTIMALITY OF LINEAR TIME-INVARIANT NEUTRAL CONTROL SYSTEMS WITH DIFFERENT FRACTIONAL ORDERS

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Acta Mathematica Scientia 2015年第5期35卷 1003-1013页

作者：丁小丽 juan j.nieto Department of Mathematics Xi’an Polytechnic University Departamento de Análisis Matemático Facultad de MatemáticasUniversidad de Santiago de Compostela Department of Mathematics Faculty of Science King Abdulaziz University

Control systems governed by linear time-invariant neutral equations with different fractional orders are considered. Sufficient and necessary conditions for the controllability of those systems are established. The existence of optimal controls for the systems is given. Finally, two examples are provided to show the application of our results.

关键词： controllability optimality neutral equations different fractional orders

SOLVABILITY OF AN IMPLICIT FRACTIONAL INTEGRAL EQUATION VIA A MEASURE OF NONCOMPACTNESS ARGUMENT

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Acta Mathematica Scientia 2017年第1期37卷 195-204页

作者： juan j.nieto Bessem SAMET Facultade de Matemáticas Universidade de Santiago de CompostelaSantiago de Compostela 15782Spain Faculty of Science King Abdulaziz UniversityJeddah 21589Saudi Arabia Department of Mathematics College of ScienceKing Saud UniversityP.O.Box 2455Riyadh 11451Saudi Arabia

In this paper,we study the existence of solutions to an implicit functional equation involving a fractional integral with respect to a certain function,which generalizes the Riemann-Liouville fractional integral and the Hadaniard fractional *** establish an existence result to such kind of equations using a generalized version of Darbo＇s theorem associated to a certain measure of *** examples are presented.

关键词： umplicit fractional integral equation measure of noncompactness Darbo'stheorem

Existence and Uniqueness of Fixed Point in Partially Ordered Sets and Applications to Ordinary Differential Equations

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Acta Mathematica Sinica,English Series 2007年第12期23卷 2205-2212页

作者： juan j.nieto RosanaRODRGUEZ-LPEZ Departamento de Análisis Matemático Facultad de MatemáticasUniversidad de Santiago de Compostela

We prove some fixed point theorems in partially ordered sets, providing an extension of the Banach contractive mapping theorem. Having studied previously the nondecreasing case, we consider in this paper nonincreasing mappings as well as non monotone mappings. We also present some applications to first-order ordinary differential equations with periodic boundary conditions, proving the existence of a unique solution admitting the existence of a lower solution.

关键词： fixed point partially ordered set first-order differential equation lower and upper solutions

Impulsive perturbation and bifurcation of solutions for a model of chemostat with variable yield

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Applied Mathematics and Mechanics(English Edition) 2009年第7期30卷 933-944页

作者：张弘 Paul Georgescu juan j.nieto 陈兰荪 Department of Mathematics Jiangsu University Department of Mathematics and Mathematical Statistics Ume University Department of Mathematics "Gh.Asachi" Technical University of Iasi Departamento de Análisis Matemático Facultad de Matemáticas Universidadde Santiago de Compostela Institute of Mathematics Chinese Academy of Sciences

In this paper, we consider a variable yield model of a single-species growth in a well-stirred tank containing fresh medium, assuming the instances of time as triggering factors in which the nutrient refilling process and the removal of microorganisms by the uptake of lethal external antibiotic are initiated. It is also assumed that the periodic nutrient refilling and the periodic antibiotic injection occur with the same periodicity, but not simultaneously. The model is then formulated in terms of autonomous differential equations subject to impulsive perturbations. It is observed that either the population of microorganisms essentially washes out, or more favorably, the system is permanent. To describe this dichotomy, some biologically significant integral conditions are introduced. Further, it is shown that in a certain critical situation, a nontriviai periodic solution emerges via a bifurcation phenomenon. Finally, the dynamics of the model is illustrated with numerical experiments and computer simulations.

关键词： chemostat impulsive differential equation permanence extinction fixedpoint approach bifurcation

Mathematical analysis of Hepatitis C Virus infection model in the framework of non-local and non-singular kernel fractionalderivative

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International journal of Biomathematics 2023年第1期16卷 77-96页

作者： Ibrahim Slimane Ghazala Nazir juan j.nieto Faheem Yaqoob Faculty of Eaact Sciences and Informatics UMABAbdelhamid IbnBadis P.O.Bor 227 University of Mostaganem 27000Mostaganem Algeria Department of Mathematics Universityof Malakand KhyberPakhtunkhawa Pakistan ghazalanazir732@*** Department of Statistics Mathematical Analysis and Optimization Galician Center for Mathematical Research and Technology University of Santiago de Compostela 15782 Santiago de Compostela Spain Department of Computer Sciences and Information Technology University of Poonch Rawalakot Azad Kashmir Pakistan

In this paper,we study a mathematical model of Hepatitis C Virus(HCV)*** present a compartmental mathematical model involving healthy hepatocytes,infected hepatocytes,non-activated dendritic cells,activated dendritic cells and cytotoxic T *** derivative used is of non-local fractional order and with non-singular *** existence and uniqueness of the system is proven and its stability is ***,by applying the Laplace Adomian decomposition method for the fractional derivative,we present the semi-analytical solution of the ***,some numerical simulations are performed for concrete values of the parameters and several graphs are plotted to reveal the qualitative properties of the solutions.

关键词： Hepatitis C virus(HCV) infection dendritic cells(DC) cytotoxic T lymphocytes(CTL) Atangana-Baleanu(AB) Laplace Adomians decomposition method(LADM).

Permanence and global attractivity of stage-structured predator-prey model with continuous harvesting on predator and impulsive stocking on prey

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Applied Mathematics and Mechanics(English Edition) 2008年第5期29卷 653-663页

作者：焦建军陈兰荪 juan j.nieto Torres Angela School of Mathematics and Statistics Guizhou College of Finance and Economics Department of Applied Mathematics Dalian University of Technology Department of Mathematical Analysis Faculty of MathematicsUniversity of Santiago de Compostela15782 Santiago de Compostela Spain Department of Psychiatry Radiology and Public Health Faculty of Medicine University of Santiago de CompostelaSpain

We investigate a stage-structured delayed predator-prey model with impulsive stocking on prey and continuous harvesting on predator. According to the fact of biological resource management, we improve the assumption of a predator-prey model with stage structure for predator population that each individual predator has the same ability to capture prey. It is assumed that the immature and mature individuals of the predator population are divided by a fixed age, and immature predator population does not have the ability to attach prey. Sufficient conditions are obtained, which guarantee the global attractivity of predator-extinction periodic solution and the permanence of the system. Our results show that the behavior of impulsive stocking on prey plays an important role for the permanence of the system, and provide tactical basis for the biological resource management. Numerical analysis is presented to illuminate the dynamics of the system.

关键词： stage-structured, impulsive stocking continuous harvesting global attractivity permanence

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-SEPARATED TYPE INTEGRAL BOUNDARY CONDITIONS

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Acta Mathematica Scientia 2011年第6期31卷 2122-2130页

作者： Bashir Ahmad juan j. nieto Ahmed Alsaedi Department of Mathematics Faculty of ScienceKing Abdulaziz University Departamento de Anlisis Matemtico Facultad de MatemticasUniversidad de Santiago de Compostela

In this paper, we study a boundary value problem of nonlinear fractional dif- ferential equations of order q （1 〈 q 〈 2） with non-separated integral boundary conditions. Some new existence and uniqueness results are obtained by using some standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also presented. We extend previous results even in the integer case q = 2.

关键词： fractional differential equations non-separated integral boundary conditions contraction principle Krasnoselskii's fixed point theorem LeraySchauder degree

The number of alignments between two DNA sequences

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International journal of Biomathematics 2016年第4期9卷 75-80页

作者： Helena Andrade juan j. nieto Angela Torres Departamento de Andlisis Matemdtico Facultad de Matemdticas Universidad de Santiago de Compostela Spain Department of Mathematics Faculty of ScienceKing Abdulaziz University Jeddah 21589 Saudi Arabia Departamento de Psiquiatrla Radiologla y Salud Publica Facultad de Medicina Universidad de Santiago de Compostela Spain

We consider two DNA sequences and compare both sequences. One of the crucial issues in bioinformatics is to measure the similarity of two DNA sequences. To this purpose one has to consider different alignments between both sequences. The number of alignments grows very rapidly with the length of the sequences. In this paper we give exact, explicit and computable formulas for the number of different possible alignments and for some classes of reduced alignments. We provide a new insight into the theory of DNA sequence alignment.

关键词： DNA sequence alignment difference equation.

Electrifying Ba_(0.5)Sr_(0.5)Co_(0.8)Fe_(0.2)O_(3-δ) for focalized heating in oxygen transport membranes

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journal of Energy Chemistry 2024年第4期91卷 99-110页

作者： Marwan Laqdiem julio García-Fayos Laura Almar Alfonso j.Carrillo Álvaro Represa joséM.López nieto Sonia Escolástico David Catalán-martinez jose M.Serra Instituto de Tecnología Química(Universitat Politècnica de València–Consejo Superior de Investigaciones Científicas) Av.Los Naranjos s/nE-46022 ValenciaSpain

Industry decarbonization requires the development of highly efficient and flexible technologies relying on renewable energy resources,especially biomass and solar/wind *** the case of pure oxygen production,oxygen transport membranes(OTMs)appear as an alternative technology for the cryogenic distillation of air,the industrially-established process of producing ***,OTMs could provide oxygen from different sources(air,water,CO_(2),etc.),and they are more flexible in adapting to current processes,producing oxygen at 700^(-1)000℃.Furthermore,OTMs can be integrated into catalytic membrane reactors,providing new pathways for different *** first part of this study was focused on electrification on a traditional OTM material(Ba_(0.5)Sr_(0.5)Co_(0.8)Fe_(0.2)O_(3-δ)),imposing different electric currents/voltages along a capillary *** to the emerging joule effect,the membrane-surface temperature and the associated O_(2) permeation flux could be ***,the OTM is electrically and locally heated and reaches 900℃on the surface,whereas the surrounding of the membrane was maintained at 650℃.The O_(2)permeation flux reached for the electrified membranes was~3.7 NmL min^(-1)cm^(-2),corresponding to the flux obtained with an OTM non-electrified at 900℃.The influence of depositing a porous Ce_(0.8)Tb_(0.2)O_(2-δ) catalytic/protective layer on the outer membrane surface revealed that lower surface temperatures(830℃)were detected at the same imposed electric ***,the electrification concept was demonstrated in a catalytic membrane reactor(CMR)where the oxidative dehydrogenation of ethane(ODHE)was carried *** reaction is very sensitive to temperature,and here,we demonstrate an improvement of the ethylene yield by reaching moderate temperatures in the reaction chamber while the O_(2) injection into the reaction can be easily fine-tuned.

关键词： Oxygen permeation Oxidative dehydrogenation of ethane Oxygen transport membranes joule effect Mixed ionic-electronic conductors Catalytic membrane reactors