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Title: A non-local problem with discontinuous matching condition for loaded mixed type equation involving the Caputo fractional derivative
Authors: Sadarangani, Kishin 
Abdullaev, O. K.
UNESCO Clasification: 120215 Ecuaciones integrales
Keywords: Caputo fractional derivative
Discontinuous matching condition
Existence and uniqueness of solution
Integral energy
Integral equations
Loaded equation
Non-local condition
Parabolic-hyperbolic type
Issue Date: 2016
Journal: Advances in Difference Equations 
Abstract: This research work is devoted to investigations of the existence and uniqueness of the solution of a non-local boundary value problem with discontinuous matching condition for the loaded equation. Considering parabolic-hyperbolic type equations involves the Caputo fractional derivative and loaded part joins in Riemann-Liouville integrals. The uniqueness of a solution is proved by the method of integral energy and the existence is proved by the method of integral equations.
ISSN: 1687-1839
DOI: 10.1186/s13662-016-0969-1
Source: Advances in Difference Equations[ISSN 1687-1839],v. 2016 (241)
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