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Qualitative properties of solutions of fractional order boundary value problems | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 13، شماره 1، خرداد 2022، صفحه 3427-3440 اصل مقاله (452.62 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22391.2457 | ||
| نویسندگان | ||
| A. M. A. El-Sayed1؛ H. H. G. Hashem2؛ Sh. M Al-Issa* 3، 4 | ||
| 1Faculty of Science, Alexandria University, Alexandria, Egypt | ||
| 2Department of Mathematics, College of Science, Qassim University, P.O. Box 6644 Buraidah 51452, Saudi Arabia | ||
| 3Department of Mathematics, Lebanese International University, Saida, Lebanon | ||
| 4Department of Mathematics, The International University of Beirut, Beirut, Lebanon | ||
| تاریخ دریافت: 10 فروردین 1400، تاریخ پذیرش: 07 خرداد 1400 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Boundary value problem؛ Liouville-Caputo fractional derivative؛ Data continuous dependence؛ Eigenvalues and Eigenfunctions | ||
| مراجع | ||
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