Solving boundary value problems of Non Integer order in Sobolev Spaces

published by Aِl-Baath University in 2016 in and research's language is العربية Download

Abstract in English

In this paper, we find distributional solutions of boundary value problems in Sobolev spaces. This solution will be given as Fourier series with respect to the Eigen functions of a positive definite operator and its square roots. Then, we obtain solutions of such problems of a real order.

References used

Adams, R.A.; Fournier,J.F.(2003):Sobolev Spaces. Academic Press, Elsevier Ltd

Berzis, H. (2011): Functional Analysis, Sobolev Spaces, and Partial Differential Equations. Springer Science+ Business Media

Hutson, V.; Pym, J.S. (2005): Application of Functional Analysis and Operator Theory, Elsevier, Amsterdam

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