Fractional Sturm–Liouville eigen-problems: Theory and numerical approximation

We first consider a regular fractional Sturm–Liouville problem of two kinds RFSLP-I and RFSLP-II of order ν∈(0,2). The corresponding fractional differential operators in these problems are both of Riemann–Liouville and Caputo type, of the same fractional order μ=ν/2∈(0,1). We obtain the analytical e...

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Bibliographic Details
Published in:	Journal of computational physics Vol. 252; pp. 495 - 517
Main Authors:	Zayernouri, Mohsen, Karniadakis, George Em
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.11.2013
Subjects:	Approximation Asymptotic properties Convergence Eigenfunctions Eigenvalues Exponential convergence Fractal expansion set Mathematical analysis Mathematical models Operators Poly-fractonomial eigenfunctions Regular/singular fractional Sturm–Liouville operators Exponential convergence Poly-fractonomial eigenfunctions Regular/singular fractional Sturm–Liouville operators Fractal expansion set
ISSN:	0021-9991, 1090-2716
Online Access:	Get full text
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