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math.AP2022★ 11 cited
Diffusion equations with general nonlocal time and space derivatives
Chung-Sik Sin, Hyong-Chol O, Sang-Mun Kim
In the present study, firstly, based on the continuous time random walk (CTRW) theory, general diffusion equations are derived. The time derivative is taken as the general Caputo-t…
math.AP2022★ 18 cited
Cauchy problem for general time fractional diffusion equation
Chung-Sik Sin
In the present work, we consider the Cauchy problem for the time fractional diffusion equation involving the general Caputo-type differential operator proposed by Kochubei. First,…