Fractal controls and quasi-analytic classes of functions in the Cauchy problem for a fractional-order diffusion equation

DOI10.1134/S1064562410050145zbMath1210.35275MaRDI QIDQ630241

A. G. Butkovskii, A. N. Agadzhanov

Publication date: 17 March 2011

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

zbMATH Keywords

Cauchy problemGreen functionfractional-order diffusion equationcontrolfunction

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Fundamental solutions to PDEs (35A08) Fractional derivatives and integrals (26A33) Asymptotic expansions of solutions to PDEs (35C20) Quasi-analytic and other classes of functions of one complex variable (30D60) Fractional partial differential equations (35R11)

Related Items (3)

Superfractal finite controls and the Baire principle in distributed oscillating systems ⋮ Everywhere differentiable functions without monotonicity intervals and transcendental numbers ⋮ Nowhere monotone singular functions in problems of finite control of distributed systems

Cites Work

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• Transcendental numbers and fractal functions in problems of finite control of distributed systems
• Fractal and infinitely differentiable functions in compactly supported control problems for hyperbolic distributed systems
• The role of the Fox-Wright functions in fractional sub-diffusion of distributed order
• Stability properties for generalized fractional differential systems

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