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E-grāmata: Methods of Mathematical Modelling: Fractional Differential Equations [Taylor & Francis e-book]

Edited by (Post-Graduate College, Ravindrapuri Ghazipur, India), Edited by (University of Rajasthan, India), Edited by (Cankaya University, Turkey)
  • Formāts: 254 pages, 25 Tables, black and white; 75 Line drawings, black and white; 75 Illustrations, black and white
  • Sērija : Mathematics and its Applications
  • Izdošanas datums: 30-Sep-2019
  • Izdevniecība: CRC Press
  • ISBN-13: 9780429274114
  • Taylor & Francis e-book
  • Cena: 222,34 €*
  • * this price gives unlimited concurrent access for unlimited time
  • Standarta cena: 317,63 €
  • Ietaupiet 30%
  • Formāts: 254 pages, 25 Tables, black and white; 75 Line drawings, black and white; 75 Illustrations, black and white
  • Sērija : Mathematics and its Applications
  • Izdošanas datums: 30-Sep-2019
  • Izdevniecība: CRC Press
  • ISBN-13: 9780429274114
This 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
Preface vii
Editors xi
Contributors xiii
1 Mathematical Analysis and Simulation of Chaotic Tritrophic Ecosystem Using Fractional Derivatives with Mittag-Leffler Kernel
1(20)
Kolade M. Owolabi
Berat Karaagac
2 Solutions for Fractional Diffusion Equations with Reactive Boundary Conditions
21(18)
Ervin K. Lenzi
Marcelo K. Lenzi
3 An Efficient Computational Method for Non-Linear Fractional Lienard Equation Arising in Oscillating Circuits
39(12)
Harendra Singh
4 A New Approximation Scheme for Solving Ordinary Differential Equation with Gomez--Atangana--Caputo Fractional Derivative
51(12)
Toufik Mekkaoui
Zakia Hammouch
Devendra Kumar
Jagdev Singh
5 Fractional Optimal Control of Diffusive Transport Acting on a Spherical Region
63(20)
Derya Avci
Necati Ozdemir
Mehmet Yavuz
6 Integral-Balance Methods for the Fractional Diffusion Equation Described by the Caputo-Generalized Fractional Derivative
83(22)
Ndolane Sene
Abdon Atangana
7 A Hybrid Formulation for Fractional Model of Toda Lattice Equations
105(26)
Amit Kumar
Sunil Kumar
Ranbir Kumar
8 Fractional Model of a Hybrid Nanofluid
131(20)
Muhammad Saqib
Sharidan Shafie
Ilyas Khan
9 Collation Analysis of Fractional Moisture Content Based Model in Unsaturated Zone Using q-homotopy Analysis Method
151(16)
Ritu Agarwal
Mahaveer Prasad Yadav
Ravi P. Agarwal
10 Numerical Analysis of a Chaotic Model with Fractional Differential Operators: From Caputo to Atangana-Baleanu
167(22)
Jyoti Mishra
Abdon Atangana
11 A New Numerical Method for a Fractional Model of Non-Linear Zakharov-Kuznetsov Equations via Sumudu Transform
189(16)
Amit Prakash
Hardish Kaur
12 Chirped Solitons with Fractional Temporal Evolution in Optical Metamaterials
205(14)
Dipelair Bienvenue
Betchewe Gambo
Justin Mibaille
Zakia Hammouch
Alphonse Houwe
13 Controllability on Non-dense Delay Fractional Differential System with Non-Local Conditions
219(18)
C. Ravichandran
K. Jothimani
Devendra Kumar
Index 237
Harendra Singh, Devendra Kumar, Dumitru Baleanu