Local Fractional Integral Transforms and Their Applications

Local Fractional Integral Transforms and Their Applications
Author: Xiao Jun Yang
Publsiher: Unknown
Total Pages: 0
Release: 2015
Genre: Electronic Book
ISBN: OCLC:956678553

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Local Fractional Integral Transforms and Their Applications

Local Fractional Integral Transforms and Their Applications
Author: Xiao Jun Yang,Dumitru Baleanu,H. M. Srivastava
Publsiher: Academic Press
Total Pages: 262
Release: 2015-10-22
Genre: Mathematics
ISBN: 9780128040324

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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

Integral Transforms and Their Applications

Integral Transforms and Their Applications
Author: Lokenath Debnath
Publsiher: CRC Press
Total Pages: 480
Release: 1995-07-03
Genre: Mathematics
ISBN: 0849394589

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Integral Transforms and Their Applications, provides a systematic , comprehensive review of the properties of integral transforms and their applications to the solution of boundary and initial value problems. Over 750 worked examples, exercises, and applications illustrate how transform methods can be used to solve problems in applied mathematics, mathematical physics, and engineering. The specific applications discussed include problems in differential, integral, and difference equations; electric circuits and networks; vibrations and wave propagation; heat conduction; fractional derivatives and fractional integrals; dynamical systems; signal processing; quantum mechanics; atmosphere and ocean dynamics; physical chemistry; mathematical biology; and probability and statistics. Integral Transforms and Their Applications includes broad coverage the standard material on integral transforms and their applications, along with modern applications and examples of transform methods. It is both an ideal textbook for students and a sound reference for professionals interested in advanced study and research in the field.

Integral Transforms and Their Applications

Integral Transforms and Their Applications
Author: Lokenath Debnath,Dambaru Bhatta
Publsiher: CRC Press
Total Pages: 806
Release: 2014-11-07
Genre: Mathematics
ISBN: 9781482223583

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Integral Transforms and Their Applications, Third Edition covers advanced mathematical methods for many applications in science and engineering. The book is suitable as a textbook for senior undergraduate and first-year graduate students and as a reference for professionals in mathematics, engineering, and applied sciences. It presents a systematic

Generalized Fractional Calculus and Applications

Generalized Fractional Calculus and Applications
Author: Virginia S Kiryakova
Publsiher: CRC Press
Total Pages: 412
Release: 1993-12-27
Genre: Mathematics
ISBN: 0582219779

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In this volume various applications are discussed, in particular to the hyper-Bessel differential operators and equations, Dzrbashjan-Gelfond-Leontiev operators and Borel type transforms, convolutions, new representations of hypergeometric functions, solutions to classes of differential and integral equations, transmutation method, and generalized integral transforms. Some open problems are also posed. This book is intended for graduate and post-graduate students, lecturers, researchers and others working in applied mathematical analysis, mathematical physics and related disciplines.

General Fractional Derivatives

General Fractional Derivatives
Author: Xiao-Jun Yang
Publsiher: CRC Press
Total Pages: 306
Release: 2019-05-10
Genre: Mathematics
ISBN: 9780429811524

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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 modern developments in theoretical and applied science. Features: Give some new results for fractional calculus of constant and variable orders. Discuss some new definitions for fractional calculus with respect to another function. Provide definitions for general fractional calculus of constant and variable orders. Report new results of general fractional calculus with respect to another function. Propose news special functions with respect to another function and their applications. Present new models for the anomalous relaxation and rheological behaviors. This book serves as a reference book and textbook for scientists and engineers in the fields of mathematics, physics, chemistry and engineering, senior undergraduate and graduate students. Dr. Xiao-Jun Yang is a full professor of Applied Mathematics and Mechanics, at China University of Mining and Technology, China. He is currently an editor of several scientific journals, such as Fractals, Applied Numerical Mathematics, Mathematical Modelling and Analysis, International Journal of Numerical Methods for Heat & Fluid Flow, and Thermal Science.

Methods of Mathematical Modelling and Computation for Complex Systems

Methods of Mathematical Modelling and Computation for Complex Systems
Author: Jagdev Singh,Hemen Dutta,Devendra Kumar,Dumitru Baleanu,Jordan Hristov
Publsiher: Springer Nature
Total Pages: 433
Release: 2021-08-26
Genre: Technology & Engineering
ISBN: 9783030771690

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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 and educators in understanding and studying various new aspects associated with complex systems. Key Feature • The chapters include theory and application in a mix and balanced way. • Readers find reasonable details of developments concerning a topic included in this book. • The text is emphasized to present in self-contained manner with inclusion of new research problems and questions.

Integral Transforms and Their Applications

Integral Transforms and Their Applications
Author: K. P. Das
Publsiher: Unknown
Total Pages: 0
Release: 2019-04-30
Genre: Mathematics
ISBN: 1783324953

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Describes four important integral transforms: Fourier transform, Laplace transform, Mellin transform, and Hankel transform, together with their application. These four integral transforms have been defined and their inversion formulas have been derived. They have been used in finding the solution of many physical problems. These problems include evolution of some definite integrals, integral equations involving Fourier kernel, solution of some partial differential equations with given initial and boundary conditions, which are of importance in mathematical physics.