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- Title
Mixed problems of fractional coupled systems of Riemann-Liouville differential equations and Hadamard integral conditions.
- Authors
Ntouyas, S. K.; Tariboon, Jessada; Thiramanus, Phollakrit
- Abstract
Iln this paper we study existence and uniqueness of solutions for mixed problems consisting non-local Hadamard fractional integrals for coupled systems of Riemann-Liouville fractional differential equations. The existence and uniqueness of solutions is established by using the Banach's contrac-tion principle, while the existence of solutions is derived by applying Leray-Schauder's alternative. Examples illustrating our results are also presented.
- Subjects
NUMERICAL solutions to differential equations; RIEMANNIAN manifolds; EXISTENCE theorems; UNIQUENESS (Mathematics); LIOUVILLE'S theorem; HADAMARD matrices; INTEGRALS
- Publication
Journal of Computational Analysis & Applications, 2016, Vol 21, Issue 1, p813
- ISSN
1521-1398
- Publication type
Article