TY - JOUR
T1 - Non-local Boundary Problem with Integral Form Transmitting Condition for Fractional Mixed Type Equation in a Composite Domain
AU - Kerbal, S.
AU - Karimov, E.
AU - Rakhmatullaeva, N.
N1 - Publisher Copyright:
© EDP Sciences, 2017.
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
KW - Caputo derivative
KW - Integral form transmitting condition
KW - Mixed type equation
UR - http://www.scopus.com/inward/record.url?scp=85019985956&partnerID=8YFLogxK
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U2 - 10.1051/mmnp/201712309
DO - 10.1051/mmnp/201712309
M3 - Article
AN - SCOPUS:85019985956
SN - 0973-5348
VL - 12
SP - 95
EP - 104
JO - Mathematical Modelling of Natural Phenomena
JF - Mathematical Modelling of Natural Phenomena
IS - 3
ER -