Qualitative properties of solutions of fractional order boundary value problems

Document Type : Research Paper


1 Faculty of Science, Alexandria University, Alexandria, Egypt

2 Department of Mathematics, College of Science, Qassim University, P.O. Box 6644 Buraidah 51452, Saudi Arabia

3 Department of Mathematics, Lebanese International University, Saida, Lebanon

4 Department of Mathematics, The International University of Beirut, Beirut, Lebanon


In this article, we discuss two boundary value problems for fractional-order differential equations. We show unique solutions exist and some data continuous dependence, with aim of proving some characteristics for these solutions of a coupled system of conjugate orders. These coupled systems are equivalent to coupled systems of second-order differential equations. Therefore, the analysis of the spectra of these problems is a consequence of that of second-order differential equations.