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Fractional Elliptic Problems with Critical Growth in the Whole of $R^n$

These lecture notes are devoted to the analysis of a nonlocal equation in the whole of Euclidean space. In studying this equation, all the;

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Nonlinear Fractional Schroedinger Equations in R^N

This monograph presents recent results concerning nonlinear fractional elliptic problems in the whole space. More precisely, it;

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Elliptic Boundary Value Problems with Fractional Regularity Data

upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces;

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Lectures on the Analysis of Nonlinear Partial Differential Equations

equations with partial or fractional dissipation; and Xiaoyi Zhang, on analytic tools for critical dispersive PDEs.;

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Encyclopedia of Mathematics and its Applications

, with the calculus of variations as the unifying theme. Part I begins the book with some basic facts about fractional Sobolev spaces. Part II;

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Lectures on Elliptic and Parabolic Equations in Holder Spaces

simple computations. The main object of study is the first boundary-value problems for elliptic and parabolic equations, with some guidelines;

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Fractional Calculus in Analysis, Dynamics & Optimal Control

Hamiltonian systems and fractional dynamics, mixing the previous approaches of G Zaslavsky and R Hilfer. Finally, numerical methods to deal with;

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Pseudolinear Functions and Optimization

optimization problems on Riemannian manifolds as well as results on pseudolinearity of quadratic fractional functions. The book also extends n;

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Pseudolinear Functions and Optimization

optimization problems on Riemannian manifolds as well as results on pseudolinearity of quadratic fractional functions. The book also extends n;

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Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms

The authors study algebras of singular integral operators on $mathbb R^n$ and nilpotent Lie groups that arise when considering the;

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Fractional Diffusion Equations and Anomalous Diffusion

, chemistry and engineering. Including the basic mathematical tools needed to understand the rules for operating with the fractional derivatives and;

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Fractional Thermoelasticity

This book is devoted to fractional thermoelasticity, i.e. thermoelasticity based on the heat conduction equation with differential;

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Implicit Fractional Differential and Integral Equations

This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and;

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Computing with hp-ADAPTIVE FINITE ELEMENTS

elliptic system). The author concludes with a presentation on infinite elements - one of the possible tools to solve exterior boundary-value;

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Nonlinear Analysis

computational methods in the field of nonlinear analysis. It includes various topics including fractional differential systems of various types, time;

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The Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics

Interesting and advanced examples, like the n=1 Lame problem-a periodic potential with an exactly solvable band structure, are also presented.;

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Numerical Methods for Fractional Calculus

in numerical fractional calculus. MATLAB (R) functions are available on the book's CRC Press web page.;

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Numerical Methods for Fractional Calculus

in numerical fractional calculus. MATLAB (R) functions are available on the book's CRC Press web page.;

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Semi-Infinite Fractional Programming

This book presents a smooth and unified transitional framework from generalised fractional programming, with a finite number of variables;

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Semi Infinite Fractional Programming

This book presents a smooth and unified transitional framework from generalised fractional programming, with a finite number of variables;

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Generalized Associated Legendre Functions And Their Applications

functions.This book deals with the theory and applications of generalized associated Legendre functions of the first and the second kind, Pm,n (z) and Qm;

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Advanced Methods in the Fractional Calculus of Variations

graduate students wishing to learn about fractional-order systems. The detailed explanations will interest researchers with backgrounds in applied;

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Computational Methods In The Fractional Calculus Of Variations

understand the methods. The techniques presented may be used not only to deal with FCV problems but also in other contexts of fractional calculus;

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Calculus Problem Solutions with MATLAB (R)

This book focuses on solving practical problems in calculus with MATLAB. Descriptions and sketching of functions and sequences are;

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Fractional Operators with Constant and Variable Order with Application to Geo-hydrology

. Both advantages and disadvantages of models with fractional operators are discussed. Based on the author's analyses, the book proposes new;

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The Fractional Trigonometry

differential equations -The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science is the result of the authors;

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Basic Theory Of Fractional Differential Equations

as critical point theory to study the basic theory of fractional differential equationsThe book;

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