# Local Fractional Integral Transforms and Their Applications

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- Author : Xiao Jun Yang
- Publisher : Academic Press
- Release : 22 October 2015
- ISBN : 9780128040324
- Page : 262 pages
- Rating : 4.5/5 from 103 voters

## Download Local Fractional Integral Transforms and Their Applications in PDF, Epub and Kindle

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

- Author : Xiao Jun Yang,Dumitru Baleanu,H. M. Srivastava
- Publisher : Academic Press
- Release Date : 2015-10-22
- ISBN : 9780128040324

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

### Methods of Mathematical Modelling and Computation for Complex Systems

- Author : Jagdev Singh,Hemen Dutta,Devendra Kumar,Dumitru Baleanu,Jordan Hristov
- Publisher : Springer Nature
- Release Date : 2021-08-26
- ISBN : 9783030771690

This book contains several contemporary topics in the areas of mathematical modelling and computation for complex systems. The readers find several new mathematical methods, mathematical models and computational techniques having significant relevance in studying various complex systems. The chapters aim to enrich the understanding of topics presented by carefully discussing the associated problems and issues, possible solutions and their applications or relevance in other scientific areas of study and research. The book is a valuable resource for graduate students, researchers

### Mathematical Methods in Engineering

- Author : Kenan Taş,Dumitru Baleanu,J. A. Tenreiro Machado
- Publisher : Springer
- Release Date : 2018-08-02
- ISBN : 9783319909721

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.

### Nonlinear Differential Equations in Physics

- Author : Santanu Saha Ray
- Publisher : Springer Nature
- Release Date : 2019-12-28
- ISBN : 9789811516566

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

### Fractional Dynamics

- Author : Carlo Cattani,Hari M. Srivastava,Xiao-Jun Yang
- Publisher : Walter de Gruyter GmbH & Co KG
- Release Date : 2015-01-01
- ISBN : 9783110472097

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

### Basic Theory

- Author : Anatoly Kochubei,Yuri Luchko
- Publisher : Walter de Gruyter GmbH & Co KG
- Release Date : 2019-02-19
- ISBN : 9783110570632

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

- Author : Artur Babiarz,Adam Czornik,Jerzy Klamka,Michał Niezabitowski
- Publisher : Springer
- Release Date : 2016-09-15
- ISBN : 9783319454740

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

### Frontiers in Fractional Calculus

- Author : Sachin Bhalekar
- Publisher : Bentham Science Publishers
- Release Date : 2018-03-21
- ISBN : 9781681085999

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

### Fractional Calculus and its Applications in Physics

- Author : Dumitru Baleanu,Devendra Kumar
- Publisher : Frontiers Media SA
- Release Date : 2019-11-15
- ISBN : 9782889459582

### Solved Exercises in Fractional Calculus

- Author : Edmundo Capelas de Oliveira
- Publisher : Springer
- Release Date : 2019-05-31
- ISBN : 9783030205249

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

### Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations

- Author : Santanu Saha Ray,Arun Kumar Gupta
- Publisher : CRC Press
- Release Date : 2018-01-12
- ISBN : 9781351682213

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.

### Generalized Fractional Order Differential Equations Arising in Physical Models

- Author : Santanu Saha Ray,Subhadarshan Sahoo
- Publisher : CRC Press
- Release Date : 2018-11-13
- ISBN : 9780429771781

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.

### Mathematical Modeling using Differential Equations, and Network Theory

- Author : Ioannis Dassios
- Publisher : MDPI
- Release Date : 2020-06-23
- ISBN : 9783039288250

This Special Issue collects the latest results on differential/difference equations, the mathematics of networks, and their applications to engineering and physical phenomena. It features nine high-quality papers that were published with original research results. The Special Issue brings together mathematicians with physicists, engineers, as well as other scientists.

### General Fractional Derivatives

- Author : Xiao-Jun Yang
- Publisher : CRC Press
- Release Date : 2019-05-10
- ISBN : 9780429811524

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

### Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact

- Author : Praveen Agarwal,Juan J. Nieto,Michael Ruzhansky,Delfim F. M. Torres
- Publisher : Springer Nature
- Release Date : 2021
- ISBN : 9789811624506

This edited volume is a collection of selected research articles discussing the analysis of infectious diseases by using mathematical modelling in recent times. Divided into two parts, the book gives a general and country-wise analysis of Covid-19. Analytical and numerical techniques for virus models are presented along with the application of mathematical modelling in the analysis of their spreading rates and treatments. The book also includes applications of fractional differential equations as well as ordinary, partial and integrodifferential equations with