Fractional Adams–Bashforth/Moulton methods: An application to the fractional Keller–Segel chemotaxis system

Source URL: www.cse-lab.ethz.ch

• Fractional calculus
• Spectral method
• Dynamical systems
• Computability theory

Fractional Calculus in Automatics (elements) Piotr Ostalczyk 1. Fractional – order integral and derivative 1.1 Grünvald-Letnikov fractional derivative/integral 1.2 Riemann-Liouville fractional derivative/integral 1.3

Source URL: mmar.edu.pl

Xavier Ros-Oton Contact Information University of Texas at Austin Department of Mathematics

Source URL: www.ma.utexas.edu

• Differential equation
• Fractional calculus
• Calculus of variations
• Heat equation
• Partial differential equations
• Calculus
• Mathematical analysis
• Multivariable calculus

NONLOCAL PROBLEMS WITH NEUMANN BOUNDARY CONDITIONS SERENA DIPIERRO, XAVIER ROS-OTON, AND ENRICO VALDINOCI Abstract. We introduce a new Neumann problem for the fractional Laplacian arising from a simple probabilistic cons

Source URL: www.ma.utexas.edu

• Operator theory
• Linear algebra
• Heat equation
• Heat transfer
• Differential equation
• Hilbert space
• Integration by parts
• Calculus of variations
• Ordinal number
• Mathematical analysis
• Calculus
• Mathematics

THE DIRICHLET PROBLEM FOR THE FRACTIONAL LAPLACIAN: REGULARITY UP TO THE BOUNDARY XAVIER ROS-OTON AND JOAQUIM SERRA Abstract. We study the regularity up to the boundary of solutions to the Dirichlet problem for the fract

Source URL: www.ma.utexas.edu

• Partial differential equations
• Constructible universe
• Free boundary problem
• Harmonic function
• Heat equation
• Ordinal numbers
• Sobolev spaces
• Symbol
• Ordinal arithmetic
• Calculus
• Mathematics
• Mathematical analysis

LOCAL INTEGRATION BY PARTS AND POHOZAEV IDENTITIES FOR HIGHER ORDER FRACTIONAL LAPLACIANS XAVIER ROS-OTON AND JOAQUIM SERRA Abstract. We establish an integration by parts formula in bounded domains for the higher order f

Source URL: www.ma.utexas.edu

• Fourier analysis
• Harmonic functions
• Partial differential equations
• Constructible universe
• Laplace operator
• Sheaf
• Congruence lattice problem
• Sobolev space
• Mathematical analysis
• Calculus
• Mathematics

THE DIRICHLET PROBLEM FOR NONLOCAL OPERATORS WITH SINGULAR KERNELS: CONVEX AND NONCONVEX DOMAINS XAVIER ROS-OTON AND ENRICO VALDINOCI Abstract. We study the interior regularity of solutions to the Dirichlet problem Lu =

Source URL: www.ma.utexas.edu

• Fourier analysis
• Fractional calculus
• Constructible universe
• Mathematical analysis
• Sobolev spaces
• Mathematics

THE EXTREMAL SOLUTION FOR THE FRACTIONAL LAPLACIAN XAVIER ROS-OTON AND JOAQUIM SERRA Abstract. We study the extremal solution for the problem (−∆)s u = λf (u) in Ω, u ≡ 0 in Rn \ Ω, where λ > 0 is a parameter

Source URL: www.ma.utexas.edu

• Differential operators
• Sobolev spaces
• Partial differential equations
• Spectral theory
• Fourier analysis
• Ordinal number
• Constructible universe
• Sobolev inequality
• Laplace operator
• Mathematical analysis
• Calculus
• Mathematics

BOUNDARY REGULARITY FOR THE FRACTIONAL HEAT EQUATION ´ XAVIER FERNANDEZ-REAL AND XAVIER ROS-OTON

Source URL: www.ma.utexas.edu

• Multivariable calculus
• Fourier analysis
• Spectral theory
• Symbol
• Laplace operator
• Partial differential equation
• Heat equation
• Heat kernel
• Differential operator
• Mathematical analysis
• Calculus
• Mathematics

Power functions and essentials of fractional calculus on isolated time scales

Source URL: www.advancesindifferenceequations.com

• Mathematics
• Itō diffusion
• Orbifold
• Symbol
• Mathematical analysis
• Electronic engineering