Qualitative properties of solutions of fractional order boundary value problems

Author(s):

A. M. A. El-Sayed , H. H. G. Hashem , Sh. M Al-Issa

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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 , Eigenfunctions

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:13 Issue: 1, Winter-Spring 2022
Pages:
3427 to 3440
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