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Well-posed problems for the fractional Laplace equation with integral boundary conditions

Niyaz Tokmagambetov (UGent) and Berikbol Torebek (UGent)
(2018) ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. 2018. p.1-10
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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.
Keywords
Caputo operator, Riemann-Liouville operator, fractional Laplace, Mittag-Leffler function, self-adjoint operator, boundary value problem, ANALOG, OPERATOR

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MLA
Tokmagambetov, Niyaz, and Berikbol Torebek. “Well-Posed Problems for the Fractional Laplace Equation with Integral Boundary Conditions.” ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 2018, 2018, pp. 1–10.
APA
Tokmagambetov, N., & Torebek, B. (2018). Well-posed problems for the fractional Laplace equation with integral boundary conditions. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 1–10.
Chicago author-date
Tokmagambetov, Niyaz, and Berikbol Torebek. 2018. “Well-Posed Problems for the Fractional Laplace Equation with Integral Boundary Conditions.” ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 2018: 1–10.
Chicago author-date (all authors)
Tokmagambetov, Niyaz, and Berikbol Torebek. 2018. “Well-Posed Problems for the Fractional Laplace Equation with Integral Boundary Conditions.” ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 2018: 1–10.
Vancouver
1.
Tokmagambetov N, Torebek B. Well-posed problems for the fractional Laplace equation with integral boundary conditions. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. 2018;2018:1–10.
IEEE
[1]
N. Tokmagambetov and B. Torebek, “Well-posed problems for the fractional Laplace equation with integral boundary conditions,” ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 2018, pp. 1–10, 2018.
@article{8662780,
  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.}},
  articleno    = {{90}},
  author       = {{Tokmagambetov, Niyaz and Torebek, Berikbol}},
  issn         = {{1072-6691}},
  journal      = {{ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS}},
  keywords     = {{Caputo operator,Riemann-Liouville operator,fractional Laplace,Mittag-Leffler function,self-adjoint operator,boundary value problem,ANALOG,OPERATOR}},
  language     = {{eng}},
  pages        = {{90:1--90:10}},
  title        = {{Well-posed problems for the fractional Laplace equation with integral boundary conditions}},
  url          = {{https://ejde.math.txstate.edu/Volumes/2018/90/tokmagambetov.pdf}},
  volume       = {{2018}},
  year         = {{2018}},
}
Web of Science
Times cited: