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Jafari, Mohammad, Dastmalchi Saei, Farhad, Jodayree Akbarfam, Ali Asghar, Jahangiri Rad, Mohammad. (1401). The generalized conformable derivative for 4α-order Sturm-Liouville problems. سامانه مدیریت نشریات علمی, 10(3), 816-825. doi: 10.22034/cmde.2021.45363.1908
Mohammad Jafari; Farhad Dastmalchi Saei; Ali Asghar Jodayree Akbarfam; Mohammad Jahangiri Rad. "The generalized conformable derivative for 4α-order Sturm-Liouville problems". سامانه مدیریت نشریات علمی, 10, 3, 1401, 816-825. doi: 10.22034/cmde.2021.45363.1908
Jafari, Mohammad, Dastmalchi Saei, Farhad, Jodayree Akbarfam, Ali Asghar, Jahangiri Rad, Mohammad. (1401). 'The generalized conformable derivative for 4α-order Sturm-Liouville problems', سامانه مدیریت نشریات علمی, 10(3), pp. 816-825. doi: 10.22034/cmde.2021.45363.1908
Jafari, Mohammad, Dastmalchi Saei, Farhad, Jodayree Akbarfam, Ali Asghar, Jahangiri Rad, Mohammad. The generalized conformable derivative for 4α-order Sturm-Liouville problems. سامانه مدیریت نشریات علمی, 1401; 10(3): 816-825. doi: 10.22034/cmde.2021.45363.1908

The generalized conformable derivative for 4α-order Sturm-Liouville problems

Computational Methods for Differential Equations
مقاله 19، دوره 10، شماره 3، مهر 2022، صفحه 816-825    اصل مقاله (416.76 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 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 derivative؛ Mittag-Leffler functions؛ Eigenvalues
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