Non-local problems with integral gluing condition for loaded mixed type equations involving the Caputo fractional derivative

Autor: Obidjon Kh. Abdullaev, Kishin S. Sadarangani
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2016, Iss 164,, Pp 1-10 (2016)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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.
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