Affiliation:
1. Institute of Mathematics National Academy of Sciences of Ukraine Tereschenkivska, str. 3, Kiev - 4 – 01601, UKRAINE
Abstract
Abstract
In this paper we analyze a linear system for the Poisson equation with a boundary condition comprising the fractional derivative in time and the right-hand sides depended on time. First, we prove existence and uniqueness of the classical solution to this problem, and provide the coercive estimates of the solution. Second, based on the obtained results we establish one-to-one solvability to a linear system of a general form in the H¨older spaces.
Subject
Applied Mathematics,Analysis
Cited by
3 articles.
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