Non-local Boundary Problem with Integral Form Transmitting Condition for Fractional Mixed Type Equation in a Composite Domain

S. Kerbal, E. Karimov, N. Rakhmatullaeva

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In the present work, we have considered a non-local boundary problem with integral matching conditions for mixed type equation,involving fractional diffusion and wave equations. Using specific algorithm we find solution of considered problem in an explicit form. The proof is based on the method of characteristics, Green's function, Voltera integral equations and solution of a second order ordinary differential equation.

Original languageEnglish
Pages (from-to)95-104
Number of pages10
JournalMathematical Modelling of Natural Phenomena
Volume12
Issue number3
DOIs
Publication statusPublished - 2017

Keywords

  • Caputo derivative
  • Integral form transmitting condition
  • Mixed type equation

ASJC Scopus subject areas

  • Modelling and Simulation

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