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

Fingerprint

Fractional Diffusion Equation
Integral Solution
Nonlocal Problems
Method of Characteristics
Integral form
Second-order Ordinary Differential Equations
Boundary Problem
Wave equations
Green's function
Ordinary differential equations
Integral equations
Wave equation
Integral Equations
Fractional
Composite
Composite materials
Form

Keywords

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

ASJC Scopus subject areas

  • Modelling and Simulation

Cite this

Non-local Boundary Problem with Integral Form Transmitting Condition for Fractional Mixed Type Equation in a Composite Domain. / Kerbal, S.; Karimov, E.; Rakhmatullaeva, N.

In: Mathematical Modelling of Natural Phenomena, Vol. 12, No. 3, 2017, p. 95-104.

Research output: Contribution to journalArticle

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