A note on boundary value problems for a coupled system of fractional differential equations

Authors:
Mujeeb ur Rehman;Rahmat Ali Khan
Affiliations:
National University of Sciences and Technology (NUST), Centre for Advanced Mathematics and Physics, Sector H-12, Islamabad, Pakistan;University of Malakand, Chakdara Dir(L), Khyber Pakhutoonkhwa, Pakistan
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

In this work, we establish sufficient conditions for the existence of solutions to a general class of multi-point boundary value problems for a coupled system of fractional differential equations. The differential operator is taken in the Riemann-Liouville sense. By means of a fixed point theorem, existence results for the solutions are established. We include an example to show the applicability of our results.