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Nonlocal and Fractional Operators

fractional calculus. In particular, it collects scientific and original contributions to the development of the theory of nonlocal and fractional;

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Nonlocal Nonlinear Fractional-order Boundary Value Problems

-valued boundary value problems, involving different kinds of fractional differential and integral operators, and several kinds of nonlocal multi;

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New Developments in the Analysis of Nonlocal Operators

solutions to abstract parabolic equations with fractional time derivatives and the behavior of the one-phase Bernoulli-type free boundary near a;

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Nonlinear, Nonlocal and Fractional Turbulence: Alternative Recipes for the Modeling of Turbulence

Experts of fluid dynamics agree that turbulence is nonlinear and nonlocal. Because of a direct correspondence, nonlocality also implies;

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

Fractional Operators with Constant and Variable Order with Application to Geo-hydrology provides a physical review of fractional;

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Encyclopedia of Mathematics and its Applications

described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes;

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Linear Fractional Diffusion Wave Equation for Scientists and Engineers

-wave equation with the Caputo fractional derivative. Time-nonlocal generalizations of classical Fourier's, Fick's and Darcy's laws are;

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Nonlocal Modeling, Analysis, and Computation

systems represented by partial differential equations and fractional PDEs. These models are designed to represent nonlocal interactions explicitly;

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Fractional Thermoelasticity

operators of fractional order. Readers will discover how time-fractional differential operators describe memory effects and space-fractional;

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Fuzzy Fractional Differential Operators and Equations: Fuzzy Fractional Differential Equations

This book contains new and useful materials concerning fuzzy fractional differential and integral operators and their relationship. As the;

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Fuzzy Fractional Differential Operators and Equations

This book contains new and useful materials concerning fuzzy fractional differential and integral operators and their relationship. As the;

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Nonlinear Fractional Schroedinger Equations in R^N

in the field of nonlocal PDEs. This is the first book to approach fractional nonlinear Schroedinger equations by applying variational and;

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Operators of Fractional Calculus and Their Applications

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Fractional-Order Integral and Derivative Operators and Their Applications

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Fractional Calculus: Theory and Applications

Fractional Calculus deals with differentiation and integration of arbitrary order. The origin of this subject can be traced back to the end;

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Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions: Cetraro, Italy 2016

Presenting a selection of topics in the area of nonlocal and nonlinear diffusions, this book places a particular emphasis on new emerging;

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Introduction to Fractional and Pseudo Differential Equations with Singular Symbo

derivatives, distributed and variable order fractional derivatives, random walk approximants, and applications of these theories to various initial;

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Basic Theory

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous;

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Lie Symmetry Analysis of Fractional Differential Equations

ask if fractional calculus, as a nonlocal calculus, can produce new results within the well-established field of Lie symmetries and their;

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Lie Symmetry Analysis of Fractional Differential Equations

ask if fractional calculus, as a nonlocal calculus, can produce new results within the well-established field of Lie symmetries and their;

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Economic Dynamics with Memory

This book presents the applications of fractional calculus, fractional operators of non-integer orders and fractional differential;

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Boundary Value Problems For Fractional Differential Equations And Systems

fractional differential equations, and systems of fractional differential equations subject to nonlocal boundary conditions. The monograph draws;

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

is accessible to a wide audience and can also serve as introductory research material on the topic of nonlocal nonlinear equations.;

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Advanced Applications of Fractional Differential Operators to Science and Technology

all facets of these fractional-order systems and studies of its potential applications. Advanced Applications of Fractional Differential;

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Generalized Fractional Calculus

This book applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety;

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Generalized Fractional Calculus

This book applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety;

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Fractional-Order Control Systems

This book explains the essentials of fractional calculus and demonstrates its application in control system modeling, analysis and design;

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