The analysis of approximate controllability for distributed order fractional diffusion problems

DOI10.1007/s00245-022-09886-9zbMath1503.35272OpenAlexW4286631899MaRDI QIDQ2156345

Li Peng, Yong Zhou

Publication date: 18 July 2022

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-022-09886-9

zbMATH Keywords

well-posednessapproximate controllabilityultra-slow diffusiondistributed order fractional derivative

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for second-order parabolic equations (35K20) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

Related Items (3)

The well-posedness for the distributed-order wave equation on \(\mathbb{R}^N\) ⋮ Non‐instantaneous impulsive Riemann–Liouville fractional differential systems: Existence and controllability analysis ⋮ A two-grid ADI finite element approximation for a nonlinear distributed-order fractional sub-diffusion equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional Laplacians on domains, a development of Hörmander's theory of \(\mu\)-transmission pseudodifferential operators
• Nonlocal problems with Neumann boundary conditions
• Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem
• Decay of solutions to parabolic-type problem with distributed order Caputo derivative
• The Cauchy problem for fractional Navier-Stokes equations in Sobolev spaces
• The inverse Laplace transform of some analytic functions with an application to the eternal solutions of the Boltzmann equation
• Approximate controllability from the exterior of space-time fractional wave equations
• Realization of the fractional Laplacian with nonlocal exterior conditions via forms method
• The well-posedness analysis of distributed order fractional diffusion problems on \(\mathbb{R}^N\)
• Uniqueness and reconstruction for the fractional Calderón problem with a single measurement
• The well-posedness for fractional nonlinear Schrödinger equations
• Uniqueness in the inversion of distributed orders in ultraslow diffusion equations
• The Calderón problem for the fractional Schrödinger equation
• Fractional diffusion equation with distributed-order Caputo derivative
• Distributed order calculus and equations of ultraslow diffusion
• Stochastic model for ultraslow diffusion
• On the spectrum of two different fractional operators
• Fractional diffusion: recovering the distributed fractional derivative from overposed data
• Evolutionary Integral Equations and Applications
• An inverse source problem for distributed order time-fractional diffusion equation
• Initial-boundary value problem for distributed order time-fractional diffusion equations
• Existence and regularity results of a backward problem for fractional diffusion equations
• Approximate Controllability from the Exterior of Space-Time Fractional Diffusive Equations
• Fractional variational calculus in terms of Riesz fractional derivatives

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