Sale!

Fuzzy Arbitrary Order System Fuzzy Fractional Differential Equations and Applications 1st Edition by Snehashish Chakraverty, Smita Tapaswini, Diptiranjan Behera ISBN 111900411X 978-1119004110

Original price was: $50.00.Current price is: $35.00.

Fuzzy Arbitrary Order System Fuzzy Fractional Differential Equations and Applications 1st Edition Snehashish Chakraverty Digital Instant Download

Author(s): Snehashish Chakraverty, Smita Tapaswini, Diptiranjan Behera
ISBN(s): 9781119004110, 111900411X
Edition: 1
File Details: PDF, 2.24 MB
Year: 2016
Language: english
SKU: EB-5677488 Category: Tags: , ,

Fuzzy Arbitrary Order System Fuzzy Fractional Differential Equations and Applications 1st Edition by Snehashish Chakraverty, Smita Tapaswini, Diptiranjan Behera – Ebook PDF Instant Download/Delivery: 111900411X, 978-1119004110
Full download Fuzzy Arbitrary Order System Fuzzy Fractional Differential Equations and Applications 1st Edition after payment

Product details: 

ISBN 10: 111900411X 

ISBN 13: 978-1119004110

Author:  Snehashish Chakraverty, Smita Tapaswini, Diptiranjan Behera

Presents a systematic treatment of fuzzy fractional differential equations as well as newly developed computational methods to model uncertain physical problems

Complete with comprehensive results and solutions, Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications details newly developed methods of fuzzy computational techniquesneeded to model solve uncertainty. Fuzzy differential equations are solved via various analytical andnumerical methodologies, and this book presents their importance for problem solving, prototypeengineering design, and systems testing in uncertain environments.

In recent years, modeling of differential equations for arbitrary and fractional order systems has been increasing in its applicability, and as such, the authors feature examples from a variety of disciplines to illustrate the practicality and importance of the methods within physics, applied mathematics, engineering, and chemistry, to name a few. The fundamentals of fractional differential equations and the basic preliminaries of fuzzy fractional differential equations are first introduced, followed by numerical solutions, comparisons of various methods, and simulated results. In addition, fuzzy ordinary, partial, linear, and nonlinear fractional differential equations are addressed to solve uncertainty in physical systems. In addition, this book features:

  • Basic preliminaries of fuzzy set theory, an introduction of fuzzy arbitrary order differential equations, and various analytical and numerical procedures for solving associated problems
  • Coverage on a variety of fuzzy fractional differential equations including structural, diffusion, and chemical problems as well as heat equations and biomathematical applications
  • Discussions on how to model physical problems in terms of nonprobabilistic methods and provides systematic coverage of fuzzy fractional differential equations and its applications
  • Uncertainties in systems and processes with a fuzzy concept

Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications is an ideal resource for practitioners, researchers, and academicians in applied mathematics, physics, biology, engineering, computer science, and chemistry who need to model uncertain physical phenomena and problems. The book is appropriate for graduate-level courses on fractional differential equations for students majoring in applied mathematics, engineering, physics, and computer science.

Table of contents: 

  1. Preliminaries of Fuzzy Set Theory

  2. Bibliography

  3. Basics of Fractional and Fuzzy Fractional Differential Equations

  4. Bibliography

  5. Analytical Methods for Fuzzy Fractional Differential Equations (FFDES)

    • 5.1 n-Term Linear Fuzzy Fractional Linear Differential Equations

    • 5.2 Proposed Methods

  6. Bibliography

  7. Numerical Methods for Fuzzy Fractional Differential Equations

    • 7.1 Homotopy Perturbation Method (HPM)

    • 7.2 Adomian Decomposition Method (ADM)

    • 7.3 Variational Iteration Method (VIM)

  8. Bibliography

  9. Fuzzy Fractional Heat Equations

    • 9.1 Arbitrary-Order Heat Equation

    • 9.2 Solution of Fuzzy Arbitrary-Order Heat Equations by HPM

    • 9.3 Numerical Examples

    • 9.4 Numerical Results

  10. Bibliography

  11. Fuzzy Fractional Biomathematical Applications

  • 11.1 Fuzzy Arbitrary-Order Predator–Prey Equations

    • 11.1.1 Particular Case

  • 11.2 Numerical Results of Fuzzy Arbitrary-Order Predator–Prey Equations

  1. Bibliography

  2. Fuzzy Fractional Chemical Problems

  • 13.1 Arbitrary-Order Rossler’s Systems

  • 13.2 HPM Solution of Uncertain Arbitrary-Order Rossler’s System

  • 13.3 Particular Case

    • 13.3.1 Special Case

  • 13.4 Numerical Results

  1. Bibliography

  2. Fuzzy Fractional Structural Problems

  • 15.1 Fuzzy Fractionally Damped Discrete System

  • 15.2 Uncertain Response Analysis

    • 15.2.1 Uncertain Step Function Response

    • 15.2.2 Uncertain Impulse Function Response

  • 15.3 Numerical Results

    • 15.3.1 Case Studies for Uncertain Step Function Response

    • 15.3.2 Case Studies for Uncertain Impulse Function Response

  • 15.4 Fuzzy Fractionally Damped Continuous System

  • 15.5 Uncertain Response Analysis

    • 15.5.1 Unit Step Function Response

    • 15.5.2 Unit Impulse Function Response

  • 15.6 Numerical Results

    • 15.6.1 Case Studies for Fuzzy Unit Step Response

    • 15.6.2 Case Studies for Fuzzy Unit Impulse Response

  1. Bibliography

  2. Fuzzy Fractional Diffusion Problems

  • 17.1 Fuzzy Fractional-Order Diffusion Equation

    • 17.1.1 Double-Parametric-Based Solution of Uncertain Fractional-Order Diffusion Equation

    • 17.1.2 Solution Bounds for Different External Forces

  • 17.2 Numerical Results of Fuzzy Fractional Diffusion Equation

  1. Bibliography

  2. Uncertain Fractional Fornberg–Whitham Equations

  • 19.1 Parametric-Based Interval Fractional Fornberg–Whitham Equation

  • 19.2 Solution by VIM

  • 19.3 Solution Bounds for Different Interval Initial Conditions

  • 19.4 Numerical Results

  1. Bibliography

  2. Fuzzy Fractional Vibration Equation of Large Membrane

  • 21.1 Double-Parametric-Based Solution of Uncertain Vibration Equation of Large Membrane

  • 21.2 Solutions of Fuzzy Vibration Equation of Large Membrane

  • 21.3 Case Studies (Solution Bounds for Particular Cases)

  • 21.4 Numerical Results for Fuzzy Fractional Vibration Equation for Large Membrane

  1. Bibliography

  2. Fuzzy Fractional Telegraph Equations

  • 23.1 Double-Parametric-Based Fuzzy Fractional Telegraph Equations

  • 23.2 Solutions of Fuzzy Telegraph Equations Using Homotopy Perturbation Method

  • 23.3 Solution Bounds for Particular Cases

  • 23.4 Numerical Results for Fuzzy Fractional Telegraph Equations

  1. Bibliography

  2. Fuzzy Fokker–Planck Equation with Space and Time Fractional Derivatives

  • 25.1 Fuzzy Fractional Fokker–Planck Equation with Space and Time Fractional Derivatives

  • 25.2 Double-Parametric-Based Solution of Uncertain Fractional Fokker–Planck Equation

    • 25.2.1 Solution by HPM

    • 25.2.2 Solution by ADM

  • 25.3 Case Studies Using HPM and ADM

    • 25.3.1 Using HPM

    • 25.3.2 Using ADM

  • 25.4 Numerical Results of Fuzzy Fractional Fokker–Planck Equation

  1. Bibliography

  2. Fuzzy Fractional Bagley–Torvik Equations

  • 27.1 Various Types of Fuzzy Fractional Bagley–Torvik Equations

  • 27.2 Results and Discussions

  1. Bibliography

Appendix A
29. Fractionally Damped Spring–Mass System (Problem 1)

  • 29.1 Response Analysis

  • 29.2 Analytical Solution Using Fractional Green’s Function

  1. Fractionally Damped Beam (Problem 2)

  • 30.1 Response Analysis

  • 30.2 Numerical Results

  1. Bibliography

  2. Index

People also search for:

    
fuzzy fractional differential equations pdf
    
fuzzy orbital
    
fuzzy fractional
    
fuzzy fractional differential equation
    
fuzzy generalized conformable fractional derivative

Tags: Snehashish Chakraverty, Smita Tapaswini, Diptiranjan Behera, Fuzzy Arbitrary, System Fuzzy, Differential Equations