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040 _aOCoLC-P
_beng
_cOCoLC-P
020 _a9781000596786
020 _a1000596788
020 _a9780429274114
_q(electronic bk.)
020 _a0429274114
_q(electronic bk.)
020 _a9781000606485
_q(electronic bk. : EPUB)
020 _a1000606481
_q(electronic bk. : EPUB)
020 _a9781000601633
_q(electronic bk. : Mobipocket)
020 _a1000601633
_q(electronic bk. : Mobipocket)
035 _a(OCoLC)1120689683
035 _a(OCoLC-P)1120689683
050 4 _aTA342
072 7 _aTEC
_x009060
_2bisacsh
072 7 _aTEC
_x020000
_2bisacsh
072 7 _aMAT
_x003000
_2bisacsh
072 7 _aPBKJ
_2bicssc
082 0 4 _a515.35
_223
245 0 0 _aMethods of Mathematical Modelling
_h[electronic resource] :
_bFractional Differential Equations.
260 _aMilton :
_bCRC Press LLC,
_c2019.
300 _a1 online resource (255 p.).
490 1 _aMathematics and Its Applications
500 _aDescription based upon print version of record.
505 0 _aCover; Half Title; Series Page; Title Page; Copyright Page; Contents; Preface; Editors; Contributors; 1 Mathematical Analysis and Simulation of Chaotic Tritrophic Ecosystem Using Fractional Derivatives with Mittag-Leffler Kernel; 1.1 Introduction; 1.2 Method of Approximation of Fractional Derivative; 1.3 Model Equations and Stability Analysis; 1.3.1 Fractional Food Chain Dynamics with Holling Type II Functional Response; 1.3.2 Multi-Species Ecosystem with a Beddington-DeAngelis Functional Response; 1.4 Numerical Experiment for Fractional Reaction-Diffusion Ecosystem; 1.5 Conclusion
505 8 _a4 A New Approximation Scheme for Solving Ordinary Differential Equation with Gomez-Atangana-Caputo Fractional Derivative4.1 Introduction; 4.2 A New Numerical Approximation; 4.2.1 Error Estimate; 4.3 Application; 4.3.1 Example 1; 4.3.2 Example 2; 4.3.3 Example 3; 4.4 Conclusion; References; 5 Fractional Optimal Control of Diffusive Transport Acting on a Spherical Region; 5.1 Introduction; 5.2 Preliminaries; 5.3 Formulation of Axis-Symmetric FOCP; 5.3.1 Half Axis-Symmetric Case; 5.3.2 Complete Axis-Symmetric Case; 5.4 Numerical Results; 5.5 Conclusions; References
505 8 _a6 Integral-Balance Methods for the Fractional Diffusion Equation Described by the Caputo-Generalized Fractional Derivative6.1 Introduction; 6.2 Fractional Calculus News; 6.3 Basics Calculus for the Integral-Balance Methods; 6.4 Integral-Balance Methods; 6.4.1 Approximation with the HBIM; 6.4.2 Approximation with DIM; 6.5 Approximate Solutions of the Generalized Fractional Diffusion Equations; 6.5.1 Quadratic Profile; 6.5.2 Cubic Profile; 6.6 Myers and Mitchell Approach for Exponent n; 6.6.1 Residual Function; 6.6.2 At Boundary Conditions; 6.6.3 Outsides of Boundary Conditions
505 8 _a6.7 ConclusionReferences; 7 A Hybrid Formulation for Fractional Model of Toda Lattice Equations; 7.1 Introduction; 7.2 Basic Idea of HATM with Adomian's Polynomials; 7.3 Application to the Toda Lattice Equations; 7.4 Numerical Result and Discussion; 7.5 Concluding Remarks; Acknowledgements; References; 8 Fractional Model of a Hybrid Nanofluid; 8.1 Introduction; 8.2 Problem's Description; 8.3 Generalization of Local Model; 8.4 Solution of the Problem; 8.4.1 Solutions of the Energy Equation; 8.4.2 Solution of Momentum Equation; 8.5 Results and Discussion; 8.6 Concluding Remarks; Acknowledgment
520 _aThis book features original research articles on the topic of mathematical modelling and fractional differential equations. The contributions, written by leading researchers in the field, consist of chapters on classical and modern dynamical systems modelled by fractional differential equations in physics, engineering, signal processing, fluid mechanics, and bioengineering, manufacturing, systems engineering, and project management. The book offers theory and practical applications for the solutions of real-life problems and will be of interest to graduate level students, educators, researchers, and scientists interested in mathematical modelling and its diverse applications. Features Presents several recent developments in the theory and applications of fractional calculus Includes chapters on different analytical and numerical methods dedicated to several mathematical equations Develops methods for the mathematical models which are governed by fractional differential equations Provides methods for models in physics, engineering, signal processing, fluid mechanics, and bioengineering Discusses real-world problems, theory, and applications
588 _aOCLC-licensed vendor bibliographic record.
650 7 _aTECHNOLOGY / Engineering / Industrial
_2bisacsh
_910902
650 7 _aTECHNOLOGY / Manufacturing
_2bisacsh
_910872
650 7 _aMATHEMATICS / Applied
_2bisacsh
_96859
650 0 _aMathematical models.
_94632
650 0 _aFractional differential equations.
_98574
700 1 _aSingh, Harendra.
_912161
700 1 _aKumar, Devendra.
_912162
700 1 _aBaleanu, D.
_q(Dumitru)
_912163
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9780429274114
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
942 _cEBK
999 _c70161
_d70161