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2020 | OriginalPaper | Chapter

Transformation Operators for Fractional Order Ordinary Differential Equations and Their Applications

Author : Mark M. Malamud

Published in: Transmutation Operators and Applications

Publisher: Springer International Publishing

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Abstract

The survey is concerned with triangular transformation operators for fractional order α = n − ε ordinary differential equations. We discuss the existence of transformation operators in the case of holomorphic coefficients. Similarity between such operators and the simplest fractional differentiation \(D^{\alpha }_0\) is discussed too.

Applications to the unique determination of the operator from n spectra of boundary value problems are given. Applications to the completeness property of certain boundary value problems for such equations are considered.

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previous chapter Distributed Order Equations in Banach Spaces with Sectorial Operators

next chapter Strong Solutions of Semilinear Equations with Lower Fractional Derivatives

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Title: Transformation Operators for Fractional Order Ordinary Differential Equations and Their Applications
Author: Mark M. Malamud
Publisher: Springer International Publishing
Book: Transmutation Operators and Applications
Print ISBN: 978-3-030-35913-3

Electronic ISBN: 978-3-030-35914-0

Copyright Year: 2020
DOI: https://doi.org/10.1007/978-3-030-35914-0_24

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