Booktopia has been placed into Voluntary Administration. Orders have been temporarily suspended, whilst the process for the recapitalisation of Booktopia and/or sale of its business is completed, following which services may be re-established. All enquiries from creditors, including customers with outstanding gift cards and orders and placed prior to 3 July 2024, please visit https://www.mcgrathnicol.com/creditors/booktopia-group/
Add free shipping to your order with these great books
Unified Theory for Fractional and Entire Differential Operators : An Approach via Differential Quadruplets and Boundary Restriction Operators - Arnaud Rougirel

Unified Theory for Fractional and Entire Differential Operators

An Approach via Differential Quadruplets and Boundary Restriction Operators

By: Arnaud Rougirel

Paperback | 5 August 2024

Sorry, we are not able to source the book you are looking for right now.

We did a search for other books with a similar title, however there were no matches. You can try selecting from a similar category, click on the author's name, or use the search box above to find your book.

This monograph proposes a unified theory of the calculus of fractional and standard derivatives by means of an abstract operator-theoretic approach. By highlighting the axiomatic properties shared by standard derivatives, Riemann-Liouville and Caputo derivatives, the author introduces two new classes of objects. The first class concerns differential triplets and differential quadruplets; the second concerns boundary restriction operators. Instances of boundary restriction operators can be generalized fractional differential operators supplemented with homogeneous boundary conditions. The analysis of these operators comprises:

  • The computation of adjoint operators;
  • The definition of abstract boundary values;
  • The solvability of equations supplemented with inhomogeneous abstract linear boundary conditions;
  • The analysis of fractional inhomogeneous Dirichlet Problems.

As a result of this approach, two striking consequences are highlighted: Riemann-Liouville and Caputo operators appear to differ only by their boundary conditions; and the boundary values of functions in the domain of fractional operators are closely related to their kernel.

Unified Theory for Fractional and Entire Differential Operators will appeal to researchers in analysis and those who work with fractional derivatives. It is mostly self-contained, covering the necessary background in functional analysis and fractional calculus.

More in Functional Analysis & Transforms

A Concise Approach to Mathematical Analysis - Mangatiana A. Robdera
Introduction to Real Analysis - Robert G. Bartle

RRP $219.95

$195.50

11%
OFF
Applied Thematic Analysis - Greg Guest

FREE SHIPPING

RRP $139.25

$75.35

46%
OFF