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The Generalized Conformable Derivative for 4$\alpha$-Order Sturm-Liouville Problems | ||
Computational Methods for Differential Equations | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 01 آذر 1400 اصل مقاله (269.97 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22034/cmde.2021.45363.1908 | ||
نویسندگان | ||
Mohammad Jafari1، 2؛ Farhad Dastmalchi Saei ![]() | ||
1Department of Mathematics, Faculty of Science, Tabriz Branch, Islamic Azad University, Tabriz, Iran. | ||
2Department of Science, Payame Noor University, PO BOX 19395-3697 Tehran, Iran. | ||
3Department of Applied Mathematics, Mathematical Science Faculty, University of Tabriz, Tabriz, Iran. | ||
چکیده | ||
In this paper, we discuss on the new generalized fractional operator. This operator similarly conformable derivative satisfies properties such as the sum, product/quotient and chain rule. Laplace transform is defined in this case, and some of its properties are stated. In the following, the Sturm-Liouville problems are investigated, and also eigenvalues and eigenfunctions are obtained. | ||
کلیدواژهها | ||
Fractional Sturm-Liouville؛ Conformable fractional؛ Mittag-Leffler functions؛ Eigenvalues | ||
آمار تعداد مشاهده مقاله: 86 تعداد دریافت فایل اصل مقاله: 66 |