The Generalized Conformable Derivative for 4$alpha$-Order Sturm-Liouville Problems

	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 ¹؛ Ali Asghar Jodayree Akbarfam³؛ Mohammad Jahangiri Rad¹
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

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The Generalized Conformable Derivative for 4$\alpha$-Order Sturm-Liouville Problems