000			04261cam a2200505Ii 4500
001			ocn922324031
003			OCoLC
005			20190328114812.0
006			m o d
007			cr cnu|||unuuu
008			150928t20152016enk ob 000 0 eng d
040			_aN$T _beng _erda _epn _cN$T _dOPELS _dYDXCP _dN$T _dIDEBK _dCDX _dOCLCF _dEBLCP _dDEBSZ _dOCLCQ _dWRM _dU3W _dD6H _dOCLCQ _dZCU
019			_a929521692
020			_a9780128038253 _q(electronic bk.)
020			_a012803825X _q(electronic bk.)
020			_z9780081006443
035			_a(OCoLC)922324031 _z(OCoLC)929521692
050		4	_aQA325
072		7	_aMAT _x005000 _2bisacsh
072		7	_aMAT _x034000 _2bisacsh
082	0	4	_a515/.33 _223
100	1		_aAtangana, Abdon, _eauthor.
245	1	0	_aDerivative with a new parameter : theory, methods and applications / _h[electronic resource] _cAbdon Atangana.
264		1	_aLondon, UK : _bAcademic Press is an imprint of Elsevier, _c2015.
264		4	_c�2016
300			_a1 online resource
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
504			_aIncludes bibliographical references.
588	0		_aOnline resource; title from PDF title page (ScienceDirect, viewed September 29, 2015).
505	0		_aTitle page; Table of Contents; Copyright; Dedication; Preface; Acknowledgments; Chapter 1: History of derivatives from Newton to Caputo; Abstract; 1.1 Introduction; 1.2 Definition of local and fractional derivative; 1.3 Definitions and properties of their anti-derivatives; 1.4 Limitations and strength of local and fractional derivatives; 1.5 Classification of fractional derivatives; Chapter 2: Local derivative with new parameter; Abstract; 2.1 Motivation; 2.2 Definition and anti-derivative; 2.3 Properties of local derivative with new parameter.
505	8		_a2.4 Definition of partial derivative with new parameter2.5 Properties of partial beta-derivatives; Chapter 3: Novel integrals transform; Abstract; 3.1 Definition of some integral transform operators; 3.2 Definition and properties of the beta-Laplace transform; 3.3 Definition and properties of the beta-Sumudu transform; 3.4 Definition and properties of beta-Fourier transform; Chapter 4: Method for partial differential equations with beta-derivative; Abstract; 4.1 Introduction; 4.2 Homotopy decomposition method; 4.3 Variational iteration method; 4.4 Sumudu decomposition method.
505	8		_a4.5 Laplace decomposition method4.6 Extension of match asymptotic method to fractional boundary layers problems; 4.7 Numerical method; 4.8 Generalized stationarity with a new parameter; Chapter 5: Applications of local derivative with new parameter; Abstract; 5.1 Introduction; 5.2 Model of groundwater flow within the confined aquifer; 5.3 Steady-state solutions of the flow in a confined and unconfined aquifer; 5.4 Model of groundwater flow equation within a leaky aquifer; 5.5 Model of Lassa fever or Lassa hemorrhagic fever; 5.6 Model of Ebola hemorrhagic fever; Bibliography.
520	8		_aAnnotation _bThis text starts off by giving a history of derivatives, from Newton to Caputo. It then goes on to introduce the new parameters for the local derivative, including its definition and properties. Additional topics define beta-Laplace transforms, beta-Sumudu transforms and beta-Fourier transforms, including their properties, and then go on to describe the method for partial differential with the beta derivatives. Subsequent sections give examples on how local derivatives with a new parameter can be used to model different applications, such as groundwater flow and different diseases.
650		0	_aDerivatives (Mathematics)
650		0	_aDifferential calculus.
650		7	_aMATHEMATICS _xCalculus. _2bisacsh
650		7	_aMATHEMATICS _xMathematical Analysis. _2bisacsh
650		7	_aDerivatives (Mathematics) _2fast _0(OCoLC)fst01893449
650		7	_aDifferential calculus. _2fast _0(OCoLC)fst00893441
655		4	_aElectronic books.
776	0	8	_iPrint version: _aAtangana, Abdon. _tDerivative with a New Parameter : Theory, Methods and Applications. _d: Elsevier Science, �2015 _z9780081006443
856	4	0	_3ScienceDirect _uhttp://www.sciencedirect.com/science/book/9780081006443
999			_c247173 _d247173