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In this paper we investigate vector-valued parabolic initial boundary value problems of relaxation type.
Consider the boundary value problems of the following type.
This article proposes a new type of discretizations for initial boundary value problems of thermodynamical systems.
The study of boundary value problems of fractional q-difference equations is in its infancy.
Nonlocal boundary value problems of fractional differential equations have been extensively studied in the recent years.
More recently, boundary value problems of nonlinear fractional q-difference equations have gained popularity and importance.
Especially, the boundary value problems of fractional differential equations have been one of the hottest problems.
Generally speaking, the boundary value problems of differential equations can be roughly divided into two parts.
For boundary value problems of fractional order on infinite intervals, we refer to [24 28].
However, the research on boundary value problems of fractional order coupled systems is relatively scarce.
The same applies to the boundary value problems of fractional differential equations.
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