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A nonlocal problem with integral gluing condition for a third‐order loaded equation with parabolic‐hyperbolic operator involving fractional derivatives
Author(s) -
Agarwal Praveen,
Kh.Abdullaev Obidjon
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6150
Subject(s) - mathematics , uniqueness , mathematical analysis , operator (biology) , hyperbolic partial differential equation , integral equation , partial differential equation , work (physics) , order (exchange) , chemistry , finance , repressor , transcription factor , biochemistry , economics , gene , mechanical engineering , engineering
This work devoted to prove of uniqueness and existence of solution of the nonlocal problem with integral gluing condition for the loaded parabolic‐hyperbolic type equation involving Caputo derivatives which loaded parts in Riemann‐Liouville integral‐differential operator. Using the method of integral energy, the uniqueness of solution have been proved. Existence of solution was proved by the method of integral equations.