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This book presents fractional difference, integral, differential, evolution equations and inclusions, and discusses existence and asymptotic behavior of their solutions. Controllability and relaxed control results are obtained. Combining rigorous deduction with abundant examples, it is of interest to nonlinear science researchers using fractional equations as a tool, and physicists, mechanics researchers and engineers studying relevant topics. Contents Fractional Difference Equations Fractional Integral Equations Fractional Differential Equations Fractional Evolution Equations: Continued Fractional Differential Inclusions
This book is a printed edition of the Special Issue "Mathematical Analysis and Applications" that was published in Axioms
This volume contains the proceedings of the 19th International Conference on Difference Equations and Applications, held at Sultan Qaboos University, Muscat, Oman in May 2013. The conference brought together experts and novices in the theory and applications of difference equations and discrete dynamical systems. The volume features papers in difference equations and discrete time dynamical systems with applications to mathematical sciences and, in particular, mathematical biology, ecology, and epidemiology. It includes four invited papers and eight contributed papers. Topics covered include: competitive exclusion through discrete time models, Benford solutions of linear difference equations, chaos and wild chaos in Lorenz-type systems, advances in periodic difference equations, the periodic decomposition problem, dynamic selection systems and replicator equations, and asymptotic equivalence of difference equations in Banach Space. This book will appeal to researchers, scientists, and educators who work in the fields of difference equations, discrete time dynamical systems and their applications.
3D-reconstruction of absorbed dose obtained from gel-dosimeter layers. Accurate determination of radionuclidic purity and half-life reactor produced Lu-177g for metabolic radioimmunotherapy. Spatial linearity improvement for discrete scintillation imagers. High resolution, high sensitivity detectors for molecular imaging of small animals and tumor detection. Strip ionization chamber as beam monitor in the proton therapy eye treatment. Low dose, low energy 3D image guidance during radiotherapy. Alpha cyclotron production studies of the Alpha Emitter [symbol] for High-LET metabolic radiotherapy. Treatment planning with IVIS imaging and Monte Carlo simulation. Monte Carlo simulations of a human...
This book illustrates the application of fractional calculus in crowd dynamics via modeling and control groups of pedestrians. Decision-making processes, conservation laws of mass/momentum, and micro-macro models are employed to describe system dynamics while cooperative movements in micro scale, and fractional diffusion in macro scale are studied to control the group of pedestrians. Obtained work is included in the Intelligent Evacuation Systems that is used for modeling and to control crowds of pedestrians. With practical issues considered, this book is of interests to mathematicians, physicists, and engineers.
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- What has been achieved in rural finance and institutional reform during more than a decade of transition and what challenges remain? - What are the special needs of South Eastern European countries to attract agricultural credit and finance to ...
Imagine if your club, the love of your life, was about to play its last ever game. The club you've cheered on as a child, which your family has supported for generations, whose colours you have dressed in every Saturday. How would you feel? This is his story of Heart of Midlothian, Edinburgh's oldest football club, and the 8,000 heroic fans (or Jambos, as they're affectionately known), who donated their own money to help rescue 'the boys in maroon'. Former Chair of the Foundation of Hearts Ian Murray here chronicles the unprecedented story of the turmoil and uncertainty that the club battled in the fight against liquidation. This book honours Hearts fans and their sheer determination to rescue their beloved club from the brink of extinction and raise it back up to the top of Scottish football. This is our story, this is our song...
Nonlinear Evolution Equation presents state-of-the-art theories and results on nonlinear evolution equation, showing related mathematical methods and applications. The basic concepts and research methods of infinite dimensional dynamical systems are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and students in applied mathematics and physics.
Bessel functions have the peculiarity of being functions of two independent variables: argument and order. They have been studied extensively because of their countless applications, but the vast majority of available literature is devoted to the case of fixed order, variable argument. This two-volume work explores the opposite case. This volume focuses on properties of the functions and mathematical operations with respect to the order.