The uniqueness of a solution to the inverse Cauchy problem for a fractional differential equation in a Banach space

DOI10.3103/S1066369X13120037zbMath1306.34009OpenAlexW1989558771WikidataQ115223341 ScholiaQ115223341MaRDI QIDQ463752

Publication date: 17 October 2014

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

Full work available at URL: https://doi.org/10.3103/s1066369x13120037

zbMATH Keywords

Mittag-Leffler function Banach space ill-posed problems fractional differential equations fractional Fokker-Planck equation uniqueness of solution Caputo derivative inverse Cauchy problem subdiffusion calculus of sectorial operators

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Inverse problems involving ordinary differential equations (34A55) Fractional ordinary differential equations (34A08)

Related Items (7)

Finite-difference methods for fractional differential equations of order \(1/2\) ⋮ Unnamed Item ⋮ Solving a backward problem for a distributed-order time fractional diffusion equation by a new adjoint technique ⋮ A finite-difference scheme on a graded mesh for solving Cauchy problems with a fractional Caputo derivative in a Banach space ⋮ Discrete approximation of solutions of the Cauchy problem for a linear homogeneous differential-operator equation with a Caputo fractional derivative in a Banach space ⋮ An inverse source problem in a semilinear time-fractional diffusion equation ⋮ Approximations of stable manifolds in the vicinity of hyperbolic equilibrium points for fractional differential equations

Cites Work

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