Title of article :
Qualitative properties of solutions of fractional order boundary value problems
Author/Authors :
El-Sayed, A. M. A. Faculty of Science - Alexandria University, Alexandria, Egypt , Hashem, H. H. G. Department of Mathematics - College of Science - Qassim University, Saudi Arabia , Al-Issa, Sh. M Department of Mathematics - Lebanese International University, Saida, Lebanon
Abstract :
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.
Keywords :
Boundary value problem , Liouville-Caputo fractional derivative , Data continuous dependence , Eigenvalues and Eigenfunctions
Journal title :
International Journal of Nonlinear Analysis and Applications
