The \(l\)-problem of moments for one-dimensional integro-differential equations with Erdélyi-Kober operators

DOI10.1134/S1064562419030219zbMath1437.45009OpenAlexW2954322235MaRDI QIDQ2332095

S. S. Postnov

Publication date: 1 November 2019

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562419030219

zbMATH Keywords

Erdélyi-Kober operators\(l\)-problem of moments

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Moment problems (44A60) Fractional ordinary differential equations (34A08)

Cites Work

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• Optimal control problem investigation for linear time-invariant systems of fractional order with lumped parameters described by equations with Riemann-Liouville derivative
• Optimal control problem for a linear stationary fractional order system in the form of a problem of moments: problem setting and a study
• Fractional relaxation and fractional oscillation models involving Erdélyi-Kober integrals
• A general formulation and solution scheme for fractional optimal control problems
• Pontryagin maximum principle for fractional ordinary optimal control problems
• Approximation of the Erdélyi--Kober Operator with Application to the Time-Fractional Porous Medium Equation
• Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem

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