Computing eigenelements of boundary value problems with fractional derivatives
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Publication:1049313
DOI10.1016/j.amc.2009.09.049zbMath1180.65096OpenAlexW2008843360MaRDI QIDQ1049313
Publication date: 8 January 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.09.049
numerical exampleseigenvalueseigenfunctionsCaputo derivativefractional boundary value problemfractional differential equationvariational iteration method
Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Fractional ordinary differential equations (34A08)
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A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications ⋮ Existence of multiple positive solutions for semipositone fractional boundary value problems ⋮ Approximate-analytical solution to the information measure's based quanto option pricing model ⋮ Analytical approximate solutions for differential equations with generalized Caputo-type fractional derivatives ⋮ Lie symmetries and their inverse problems of nonholonomic Hamilton systems with fractional derivatives ⋮ Positive solutions for fractional four-point boundary value problems ⋮ Stability analysis of a fractional-order model for abstinence behavior of registration on the electoral lists ⋮ Optimal control of non-smooth fractional-order systems based on extended Caputo derivative
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