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Fractional diffusion equation in half-space with Robin boundary condition

Jun‐Sheng DuanZhaoqing UniversityZhong WangSchool of Mathematics and Information Sciences, Zhaoqing University, Zhaoqing, Guang Dong, 526061, P.R. ChinaShouzhong FuSchool of Mathematics and Information Sciences, Zhaoqing University, Zhaoqing, Guang Dong, 526061, P.R. China
2013en
ABI

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Abstract The initial and boundary value problem for the fractional diffusion equation in half-space with the Robin boundary condition is considered. The solution is comprised of two parts: the contribution of the initial value and the contribution of the boundary value, for which the respective fundamental solutions are given. Finally, the solution formula of the considered problem is obtained.

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