Titlebook: Numerical Treatment and Analysis of Time-Fractional Evolution Equations; Bangti Jin,Zhi Zhou Book 2023 The Editor(s) (if applicable) and T

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Optimal Control with Subdiffusion Constraint,analysis. In the last two chapters, we discuss the application of these results where nonsmooth data error estimates are central, i.e., a model optimal control problem with a subdiffusion constraint in this chapter, and a model inverse problem, backward subdiffusion, in Chap. ..

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Backward Subdiffusion,d continuously on the data (in natural topology), whereas the observational data are always contaminated by measurement errors. Further, the involved problem data are often very weak, as for optimal control problems in Chap. ., and standard techniques may not apply directly.

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,Existence, Uniqueness, and Regularity of Solutions,In this chapter, we describe the basic mathematical theory of the standard time-fractional diffusion model, whose numerical treatment and analysis is the main topic of this book.

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Finite Difference Methods on Graded Meshes,According to the solution theory in Chap. ., the solutions . to the subdiffusion model (.) generally do not enjoy very good regularity in time (in standard Sobolev spaces).

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Semilinear Subdiffusion,So far, we have only discussed the numerical treatment of linear time-fractional evolution models.

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Bangti Jin,Zhi ZhouProvides insight in the mathematics of numerical methods for solving time-fractional evolution equations.Presents ideas and methods of analysis, and covers most important topics in this active area of

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