Grünwald-type approximations and boundary conditions for one-sided fractional derivative operators

by Harish Sankaranarayanan

Institution: University of Otago
Year: 0
Keywords: Fractional Derivatives; Grunwald formula; Fourier Multipliers; Carlson's Inequality; Fractional Differential Equations; Fractional Powers of Operators; Grunwald-type Approximations; Fractional Partial Differential Equations; Fractional Derivatives on Bounded Domains
Record ID: 1311448
Full text PDF: http://hdl.handle.net/10523/5216


The focus of this thesis is two-fold. The first part investigates higher order numerical schemes for one-dimensional fractional-in-space partial differential equations in