Local Fractional Integral Transforms and Their Applications

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  • Author : Xiao Jun Yang
  • Publisher : Academic Press
  • Pages : 262 pages
  • ISBN : 9780128040027
  • Rating : /5 from reviews
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Download or Read online Local Fractional Integral Transforms and Their Applications full in PDF, ePub and kindle. this book written by Xiao Jun Yang and published by Academic Press which was released on 01 October 2015 with total page 262 pages. We cannot guarantee that Local Fractional Integral Transforms and Their Applications book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the fractal phenomenon. The book presents the basics of the local fractional derivative operators and investigates some new results in the area of local integral transforms. Provides applications of local fractional Fourier Series Discusses definitions for local fractional Laplace transforms Explains local fractional Laplace transforms coupled with analytical methods

Local Fractional Integral Transforms and Their Applications

Local Fractional Integral Transforms and Their Applications
  • Author : Xiao Jun Yang,Dumitru Baleanu,H. M. Srivastava
  • Publisher : Academic Press
  • Release : 01 October 2015
GET THIS BOOK Local Fractional Integral Transforms and Their Applications

Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the fractal phenomenon. The book presents the basics of the

Local Fractional Integral Transforms and Their Applications

Local Fractional Integral Transforms and Their Applications
  • Author : Xiao Jun Yang,Dumitru Baleanu,H. M. Srivastava
  • Publisher : Academic Press
  • Release : 22 October 2015
GET THIS BOOK Local Fractional Integral Transforms and Their Applications

Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the fractal phenomenon. The book presents the basics of the

General Fractional Derivatives

General Fractional Derivatives
  • Author : Xiao-Jun Yang
  • Publisher : CRC Press
  • Release : 10 May 2019
GET THIS BOOK General Fractional Derivatives

General Fractional Derivatives: Theory, Methods and Applications provides knowledge of the special functions with respect to another function, and the integro-differential operators where the integrals are of the convolution type and exist the singular, weakly singular and nonsingular kernels, which exhibit the fractional derivatives, fractional integrals, general fractional derivatives, and general fractional integrals of the constant and variable order without and with respect to another function due to the appearance of the power-law and complex herbivores to figure out the

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  • Publisher : Springer
  • Release : 02 August 2018
GET THIS BOOK Mathematical Methods in Engineering

This book presents recent developments in nonlinear dynamics with an emphasis on complex systems. The volume illustrates new methods to characterize the solutions of nonlinear dynamics associated with complex systems. This book contains the following topics: new solutions of the functional equations, optimization algorithm for traveling salesman problem, fractals, control, fractional calculus models, fractional discretization, local fractional partial differential equations and their applications, and solutions of fractional kinetic equations.

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  • Author : Santanu Saha Ray
  • Publisher : Springer Nature
  • Release : 28 December 2019
GET THIS BOOK Nonlinear Differential Equations in Physics

This book discusses various novel analytical and numerical methods for solving partial and fractional differential equations. Moreover, it presents selected numerical methods for solving stochastic point kinetic equations in nuclear reactor dynamics by using Euler–Maruyama and strong-order Taylor numerical methods. The book also shows how to arrive at new, exact solutions to various fractional differential equations, such as the time-fractional Burgers–Hopf equation, the (3+1)-dimensional time-fractional Khokhlov–Zabolotskaya–Kuznetsov equation, (3+1)-dimensional time-fractional KdV–Khokhlov–Zabolotskaya–Kuznetsov equation, fractional (2+1)-dimensional

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  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 19 February 2019
GET THIS BOOK Basic Theory

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.

Theory and Applications of Non integer Order Systems

Theory and Applications of Non integer Order Systems
  • Author : Artur Babiarz,Adam Czornik,Jerzy Klamka,Michał Niezabitowski
  • Publisher : Springer
  • Release : 15 September 2016
GET THIS BOOK Theory and Applications of Non integer Order Systems

This book collects papers from the 8th Conference on Non-Integer Order Calculus and Its Applications that have been held on September 20-21, 2016 in Zakopane, Poland. The preceding two conferences were held in Szczecin, Poland in 2015, and in Opole, Poland, in 2014. This conference provides a platform for academic exchange on the theory and application of fractional calculus between domestic and international universities, research institutes, corporate experts and scholars. The Proceedings of the 8th Conference on Non-Integer Order Calculus and Its Applications 2016

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Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations
  • Author : Santanu Saha Ray,Arun Kumar Gupta
  • Publisher : CRC Press
  • Release : 12 January 2018
GET THIS BOOK Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations

The main focus of the book is to implement wavelet based transform methods for solving problems of fractional order partial differential equations arising in modelling real physical phenomena. It explores analytical and numerical approximate solution obtained by wavelet methods for both classical and fractional order partial differential equations.

Fractional Dynamics

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  • Author : Carlo Cattani,Hari M. Srivastava,Xiao-Jun Yang
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 01 January 2015
GET THIS BOOK Fractional Dynamics

The book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics. In particular, the book focuses on the more recent results in mathematical physics, engineering applications, theoretical and applied physics as quantum mechanics, signal analysis, and in those relevant research fields where nonlinear dynamics occurs and several tools of nonlinear analysis are required. Dynamical

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  • Author : Sachin Bhalekar
  • Publisher : Bentham Science Publishers
  • Release : 21 March 2018
GET THIS BOOK Frontiers in Fractional Calculus

This book brings together eleven topics on different aspects of fractional calculus in a single volume. It provides readers the basic knowledge of fractional calculus and introduces advanced topics and applications. The information in the book is presented in four parts: Fractional Diffusion Equations: (i) solutions of fractional diffusion equations using wavelet methods, (ii) the maximum principle for time fractional diffusion equations, (iii) nonlinear sub-diffusion equations. Mathematical Analysis: (i) shifted Jacobi polynomials for solving and identifying coupled fractional delay differential

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  • Publisher : Springer
  • Release : 31 May 2019
GET THIS BOOK Solved Exercises in Fractional Calculus

This book contains a brief historical introduction and state of the art in fractional calculus. The author introduces some of the so-called special functions, in particular, those which will be directly involved in calculations. The concepts of fractional integral and fractional derivative are also presented. Each chapter, except for the first one, contains a list of exercises containing suggestions for solving them and at last the resolution itself. At the end of those chapters there is a list of complementary

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Discontinuity and Complexity in Nonlinear Physical Systems
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  • Publisher : Springer Science & Business Media
  • Release : 04 December 2013
GET THIS BOOK Discontinuity and Complexity in Nonlinear Physical Systems

Discontinuity in Nonlinear Physical Systems explores recent developments in experimental research in this broad field, organized in four distinct sections. Part I introduces the reader to the fractional dynamics and Lie group analysis for nonlinear partial differential equations. Part II covers chaos and complexity in nonlinear Hamiltonian systems, important to understand the resonance interactions in nonlinear dynamical systems, such as Tsunami waves and wildfire propagations; as well as Lev flights in chaotic trajectories, dynamical system synchronization and DNA information complexity