000			04850cam a2200529Ka 4500
001			ocn938788572
003			OCoLC
005			20190328114814.0
006			m o d
007			cr cnu---unuuu
008			160212s2016 cau ob 001 0 eng d
040			_aIDEBK _beng _epn _cIDEBK _dN$T _dYDXCP _dOPELS _dUIU _dOCLCF _dEBLCP _dCDX _dDEBSZ _dOCLCQ _dTEFOD _dOCLCQ _dIDB _dOCLCQ _dU3W _dMERUC _dD6H _dOCLCQ
019			_a940438495
020			_a0128047755 _q(electronic bk.)
020			_a9780128047750 _q(electronic bk.)
020			_z012804277X
020			_z9780128042779
035			_a(OCoLC)938788572 _z(OCoLC)940438495
050		4	_aQA377.3
072		7	_aMAT _x005000 _2bisacsh
072		7	_aMAT _x034000 _2bisacsh
082	0	4	_a515.353 _223
100	1		_aZhou, Yong.
245	1	0	_aFractional evolution equations and inclusions / _h[electronic resource] _cYong Zhou.
260			_aSan Diego, CA : _bAcademic Press, _c�2016.
300			_a1 online resource
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
588	0		_aPrint version record.
504			_aIncludes bibliographical references and index.
520			_aFractional evolution inclusions are an important form of differential inclusions within nonlinear mathematical analysis. They are generalizations of the much more widely developed fractional evolution equations (such as time-fractional diffusion equations) seen through the lens of multivariate analysis. Compared to fractional evolution equations, research on the theory of fractional differential inclusions is however only in its initial stage of development. This is important because differential models with the fractional derivative providing an excellent instrument for the description of memory and hereditary properties, and have recently been proved valuable tools in the modeling of many physical phenomena. The fractional order models of real systems are always more adequate than the classical integer order models, since the description of some systems is more accurate when the fractional derivative is used. The advantages of fractional derivatization become evident in modeling mechanical and electrical properties of real materials, description of rheological properties of rocks and in various other fields. Such models are interesting for engineers and physicists as well as so-called pure mathematicians. Phenomena investigated in hybrid systems with dry friction, processes of controlled heat transfer, obstacle problems and others can be described with the help of various differential inclusions, both linear and nonlinear. Fractional Evolution Equations and Inclusions is devoted to a rapidly developing area of the research for fractional evolution equations & inclusions and their applications to control theory. It studies Cauchy problems for fractional evolution equations, and fractional evolution inclusions with Hille-Yosida operators. It discusses control problems for systems governed by fractional evolution equations. Finally it provides an investigation of fractional stochastic evolution inclusions in Hilbert spaces.
505	0		_aFront Cover ; Fractional Evolution Equations and Inclusions ; Copyright ; Table of Contents ; Preface; Chapter 1: Preliminaries; 1.1 Basic Facts and Notation ; 1.2 Fractional Integrals and Derivatives.
505	8		_a1.3 Semigroups and Almost Sectorial Operators 1.4 Spaces of Asymptotically Periodic Functions ; 1.5 Weak Compactness of Sets and Operators.
505	8		_a1.6 Multivalued Analysis1.7 Stochastic Process; Chapter 2: Fractional Evolution Equations; 2.1 Cauchy Problems; 2.2 Bounded Solutions on Real Axis ; 2.3 Notes and Remarks ; Chapter 3: Fractional Evolution Inclusions With Hille-yosida Operators; 3.1 Existence of Integral Solutions.
505	8		_a3.2 Topological Structure of Solution Sets 3.3 Notes and Remarks ; Chapter 4: Fractional Control Systems ; 4.1 Existence and Optimal Control ; 4.2 Optimal Feedback Control; 4.3 Controllability; 4.4 Approximate Controllability.
505	8		_a4.5 Topological Structure of Solution Sets 4.6 Notes and Remarks ; Chapter 5: Fractional Stochastic Evolution Inclusions; 5.1 Existence of Mild Solutions.
650		0	_aEvolution equations.
650		0	_aDifferential inclusions.
650		7	_aMATHEMATICS _xCalculus. _2bisacsh
650		7	_aMATHEMATICS _xMathematical Analysis. _2bisacsh
650		7	_aDifferential inclusions. _2fast _0(OCoLC)fst00893493
650		7	_aEvolution equations. _2fast _0(OCoLC)fst00917332
655		4	_aElectronic books.
776	0	8	_iPrint version: _aZhou, Yong. _tFractional Evolution Equations and Inclusions : Analysis and Control. _dSan Diego : Elsevier Science, �2016 _z9780128042779
856	4	0	_3ScienceDirect _uhttp://www.sciencedirect.com/science/book/9780128042779
999			_c247285 _d247285