Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/52513
Title: Non-local problems with integral gluing condition for loaded mixed type equations involving the Caputo fractional derivative
Authors: Abdullaev, Obidjon Khayrullayevich
Sadarangani, Kishin B. 
UNESCO Clasification: 12 Matemáticas
120215 Ecuaciones integrales
Keywords: Caputo fractional derivatives
Loaded equation
Non-local problem
Existence
Integral gluing condition
Uniqueness
34K37
35M10
Issue Date: 2016
Journal: Electronic Journal of Differential Equations 
Abstract: In this work, we study the existence and uniqueness of solutions to non-local boundary value problems with integral gluing condition. Mixed type equations (parabolic-hyperbolic) involving the Caputo fractional derivative have loaded parts in Riemann-Liouville integrals. Thus we use the method of integral energy to prove uniqueness, and the method of integral equations to prove existence.
URI: http://hdl.handle.net/10553/52513
ISSN: 1072-6691
Source: Electronic Journal of Differential Equations,v. 2016 (164)
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