On solvability of a boundary value problem for the Poisson equation with a nonlocal boundary operator

B. J. Kadirkulov; M. Kirane

doi:10.1016/S0252-9602(15)30031-X

On solvability of a boundary value problem for the Poisson equation with a nonlocal boundary operator

B. J. Kadirkulov, M. Kirane

Mathematics

Tashkent State Institute of Oriental Studies

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

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 problems with operators of a fractional order.

Original language	British English
Pages (from-to)	970-980
Number of pages	11
Journal	Acta Mathematica Scientia
Volume	35
Issue number	5
DOIs	https://doi.org/10.1016/S0252-9602(15)30031-X
State	Published - 1 Sep 2015

Keywords

Boundary value problem
Caputo fractional derivative
Dirichlet and Neumann problems
Operator of fractional integration and differentiation
Poisson equation
Riemann-Liouville operator
Solvability

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10.1016/S0252-9602(15)30031-X

Cite this

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abstract = "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 problems with operators of a fractional order.",

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KW - Caputo fractional derivative

KW - Dirichlet and Neumann problems

KW - Operator of fractional integration and differentiation

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KW - Riemann-Liouville operator

KW - Solvability

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On solvability of a boundary value problem for the Poisson equation with a nonlocal boundary operator

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