Diffusion Equations with General Nonlocal Operators
Chung-Sik Sin
Broschiertes Buch

Diffusion Equations with General Nonlocal Operators

Nonlocal Diffusion Equations Involving the General Caputo -Type Differential Operator

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Nonlocal diffusion equations derived from the continuous time random walk theory have been widely used in modelling the anomalous diffusion processes arising complex systems. The purpose of this book is to give an introduction to the existence and asymptotic behavior theory for diffusion equations with the general Caputo-type fractional derivative. Firstly, the unique existence of solutions of the general Caputo-type fractional ordinary differential equations is proved. Secondly, we obtain the existence and long time behavior results for the time nonlocal diffusion equations with the general C...