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ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR THE POISSON EQUATION WITH A NONLOCAL BOUNDARY OPERATOR
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作者 b.j.kadirkulov M.KIRANE 《Acta Mathematica Scientia》 SCIE CSCD 2015年第5期970-980,共11页
In this work, we investigate the solvability of the boundary value problem for the Poisson equation, involving a generalized Riemann-Liouville and the Caputo derivative of fractional order in the class of smooth funct... In this work, we investigate the solvability of the boundary value problem for the Poisson equation, involving a generalized Riemann-Liouville and the Caputo derivative of fractional order in the class of smooth functions. The considered problems are generalization of the known Dirichlet and Neumann oroblems with operators of a fractional order. 展开更多
关键词 operator of fractional integration and differentiation SOLVABILITY boundary value problem Riemann-Liouville operator Caputo fractional derivative Poisson equation Dirichlet and Neumann problems
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