Article

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

Sebti KerbalDepartment of Mathematics and Statistics, Sultan Qaboos University PO Box 36, Al Khodh, PC 123, Muscat, OmanErkinjon KarimovInstitute of Mathematics named after V.I.Romanovky Academy of Sciences of the Republic of Uzbekistan Durmon yuli 29, Tashkent 100125, UzbekistanNilufar A. RakhmatullaevaTashkent State Technical University named after Beruny Universitet str., 2, Tashkent 100095, Uzbekistan

Mathematical Modelling of Natural Phenomenajournal2017en

ABI

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.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Fractional Differential Equations Solutions

Identifiers

DOI: 10.1051/mmnp/201712309

Citations and references

Cited by 3 13 references

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