» » Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)

Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies) download epub

by H. M. Srivastava,J.J. Trujillo,A.A. Kilbas


Epub Book: 1612 kb. | Fb2 Book: 1282 kb.

Further Applications of Fractional Models. This book presents a nice and systematic treatment of the theory and applications of fractional differential equations. zentralblatt math database 1931-2007.

Further Applications of Fractional Models. Bibliography Subject Index. This book is a valuable resource for any worker in electronic structure theory, both for its insight into the utility of a variety of relativistic methods, and for its assessment of the contribution of relativity to a wide range of experimental properties," -THEOR CHEM ACC (2007).

This book presents a nice and systematic treatment of the theory and applications of fractional differential equations

This book presents a nice and systematic treatment of the theory and applications of fractional differential equations. ZENTRALBLATT MATH DATABASE 1931-2007 "This book is a valuable resource for any worker in electronic structure theory, both for its insight into the utility of a variety of relativistic methods, and for its assessment of the contribution of relativity to a wide range of experimental properties," -THEOR CHEM ACC (2007). the electrotechnical, biological, optical, or whatever exotic context it could have been embedded in is avoided here.

View colleagues of A. A. Kilbas. View colleagues of H. M. Srivastava. Weihua Jiang, Eigenvalue interval for multi-point boundary value problems of fractional differential equations, Applied Mathematics and Computation, . 19 ., . 570-4575, January, 2013.

North-Holland Mathematics Studies, 204. has been cited by the following article . ABSTRACT: We consider the oscillation of a class fractional differential equation with Robin and Dirichlet boundary conditions. has been cited by the following article: TITLE: Oscillation for a Class of Fractional Differential Equation. AUTHORS: Qian Feng, Anping Liu. KEYWORDS: Oscillation, Fractional Derivative, Fractional Partial Differential Equation. JOURNAL NAME: Journal of Applied Mathematics and Physics, Vo. N., July 10, 2019. ABSTRACT: We consider the oscillation of a class fractional differential equation with Robin and Dirichlet boundary conditions

sequential linear fractional differential equations including a generalization of the classical Frobenius method, and also to include an interesting set of applications of the developed theory. Key features: - It is mainly application oriented.

sequential linear fractional differential equations including a generalization of the classical Frobenius method, and also to include an interesting set of applications of the developed theory. It contains a complete theory of Fractional Differential Equations. It can be used as a postgraduate-level textbook in many different disciplines within science and engineering. It contains an up-to-date bibliography. It provides problems and directions for further investigations.

AA Kilbas, HM Srivastava, JJ Trujillo. Elsevier (North-Holland) Mathematics Studies 204, xvi + 523 p. 2006. AA Kilbas, HM Srivastava, JJ Trujillo. Theory and applications of fractional differential equations 204, 2006. HM Srivastava, HL Manocha. John Wiley and Sons, New York, 569 p. 1984. Certain Subclasses of Analytic Functions Associated with the Generalized Hypergeometric Function. J Dziok, HM Srivastava. Integral Transforms and Special Functions 14 (1), 7-18, 2003.

oceedings{Kilbas2006THEORYAA, title {THEORY AND APPLICATIONS OF FRACTIONAL .

oceedings{Kilbas2006THEORYAA, title {THEORY AND APPLICATIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS. NORTH-HOLLAND MATHEMATICS STUDIES}, author {Anatoly A. Kilbas and Hari M. Srivastava and Juan J. Trujillo}, year {2006} }. Anatoly A. Kilbas, Hari M. Srivastava, Juan J. Trujillo.

PDF This paper deals with fractional differential equations, with . Exposition Using Differential Operators of Caputo Type, LNM Springer, Volume 2004, 2010. Trujillo, Theory and Applications of Fractional Differ-.

Exposition Using Differential Operators of Caputo Type, LNM Springer, Volume 2004, 2010. C. Galphin, J. Glembocki and J. Tompkins, Video Tape Coun-. North-Holland Mathematics Studies, 204. Elsevier Science .

North-Holland Mathematics Studies, vol. 204 (Elsevier, Amsterdam, 2006) Scholar. 2011) Group-Invariant Solutions of Fractional Differential Equations

North-Holland Mathematics Studies, vol. 5. F. Mainardy, P. Paradisi, R. Gorenflo, Probability distributions generated by fractional diffusion equations, in Econophysics: an Emerging Science, ed. by J. Kertesz, I. Kondor (Kluwer Academic, Dordrecht, 1999) Google Scholar. 2011) Group-Invariant Solutions of Fractional Differential Equations. In: Machado . Luo . Barbosa . Silva . Figueiredo L. (eds) Nonlinear Science and Complexity.

This monograph provides the most recent and up-to-date developments on fractional differential and fractional integro-differential equations involving many different potentially useful operators of fractional calculus. The subject of fractional calculus and its applications (that is, calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. Some of the areas of present-day applications of fractional models include Fluid Flow, Solute Transport or Dynamical Processes in Self-Similar and Porous Structures, Diffusive Transport akin to Diffusion, Material Viscoelastic Theory, Electromagnetic Theory, Dynamics of Earthquakes, Control Theory of Dynamical Systems, Optics and Signal Processing, Bio-Sciences, Economics, Geology, Astrophysics, Probability and Statistics, Chemical Physics, and so on. In the above-mentioned areas, there are phenomena with estrange kinetics which have a microscopic complex behaviour, and their macroscopic dynamics can not be characterized by classical derivative models. The fractional modelling is an emergent tool which use fractional differential equations including derivatives of fractional order, that is, we can speak about a derivative of order 1/3, or square root of 2, and so on. Some of such fractional models can have solutions which are non-differentiable but continuous functions, such as Weierstrass type functions. Such kinds of properties are, obviously, impossible for the ordinary models. What are the useful properties of these fractional operators which help in the modelling of so many anomalous processes? From the point of view of the authors and from known experimental results, most of the processes associated with complex systems have non-local dynamics involving long-memory in time, and the fractional integral and fractional derivative operators do have some of those characteristics. This book is written primarily for the graduate students and researchers in many different disciplines in the mathematical, physical, engineering and so many others sciences, who are interested not only in learning about the various mathematical tools and techniques used in the theory and widespread applications of fractional differential equations, but also in further investigations which emerge naturally from (or which are motivated substantially by) the physical situations modelled mathematically in the book. This monograph consists of a total of eight chapters and a very extensive bibliography. The main objective of it is to complement the contents of the other books dedicated to the study and the applications of fractional differential equations. The aim of the book is to present, in a systematic manner, results including the existence and uniqueness of solutions for the Cauchy type problems involving nonlinear ordinary fractional differential equations, explicit solutions of linear differential equations and of the corresponding initial-value problems through different methods, closed-form solutions of ordinary and partial differential equations, and a theory of the so-called sequential linear fractional differential equations including a generalization of the classical Frobenius method, and also to include an interesting set of applications of the developed theory. Key features: - It is mainly application oriented.- It contains a complete theory of Fractional Differential Equations.- It can be used as a postgraduate-level textbook in many different disciplines within science and engineering.- It contains an up-to-date bibliography.- It provides problems and directions for further investigations.- Fractional Modelling is an emergent tool with demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering.- It contains many examples.- and so on!
Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies) download epub
Mathematics
Author: H. M. Srivastava,J.J. Trujillo,A.A. Kilbas
ISBN: 0444518320
Category: Science & Math
Subcategory: Mathematics
Language: English
Publisher: Elsevier Science; 1 edition (March 2, 2006)
Pages: 540 pages