Well-posed problems for the fractional Laplace equation with integral boundary conditions
Date
2018-04-12
Authors
Tokmagambetov, Niyaz
Torebek, Berikbol T.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this remark we study the boundary-value problems for a fractional analogue of the Laplace equation with integral boundary conditions in rectangular and half-strip domains. We prove the existence and uniqueness of solutions by using the spectral decomposition method.
Description
Keywords
Caputo operator, Riemann-Liouville operator, Fractional Laplace, Mittag-Leffler function, Self-adjoint operator, Boundary value problem
Citation
Tokmagambetov, N., & Torebek, B. T. (2018). Well-posed problems for the fractional Laplace equation with integral boundary conditions. <i>Electronic Journal of Differential Equations, 2018</i>(90), pp. 1-10.
Rights
Attribution 4.0 International