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 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

Produk Detail:

  • Author : Xiao Jun Yang
  • Publisher : Academic Press
  • Pages : 262 pages
  • ISBN : 0128040327
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKLocal Fractional Integral Transforms and Their Applications

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 BOOKLocal 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 : 01 October 2015
GET THIS BOOKLocal 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

Mathematical Methods in Engineering

Mathematical Methods in Engineering
  • Author : Kenan Taş,Dumitru Baleanu,J. A. Tenreiro Machado
  • Publisher : Springer
  • Release : 02 August 2018
GET THIS BOOKMathematical 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.

Basic Theory

Basic Theory
  • Author : Anatoly Kochubei,Yuri Luchko
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 19 February 2019
GET THIS BOOKBasic 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.

Nonlinear Differential Equations in Physics

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

Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations

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 BOOKWavelet 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.

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 BOOKTheory 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

Generalized Fractional Order Differential Equations Arising in Physical Models

Generalized Fractional Order Differential Equations Arising in Physical Models
  • Author : Santanu Saha Ray,Subhadarshan Sahoo
  • Publisher : CRC Press
  • Release : 13 November 2018
GET THIS BOOKGeneralized Fractional Order Differential Equations Arising in Physical Models

This book analyzes the various semi-analytical and analytical methods for finding approximate and exact solutions of fractional order partial differential equations. It explores approximate and exact solutions obtained by various analytical methods for fractional order partial differential equations arising in physical models.

Frontiers in Fractional Calculus

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

Solved Exercises in Fractional Calculus

Solved Exercises in Fractional Calculus
  • Author : Edmundo Capelas de Oliveira
  • Publisher : Springer
  • Release : 31 May 2019
GET THIS BOOKSolved 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

General Fractional Derivatives

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