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

B. J. Kadirkulov, M. Kirane

Research output: Contribution to journalArticlepeer-review

12 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 languageBritish English
Pages (from-to)970-980
Number of pages11
JournalActa Mathematica Scientia
Volume35
Issue number5
DOIs
StatePublished - 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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