Title of article
The generalized conformable derivative for 4α-order Sturm-Liouville problems
Author/Authors
Jafari, Mohammad Department of Mathematics - Faculty of Science - Tabriz Branch Islamic Azad University, Tabriz, Iran , Jodayree Akbarfam, Ali Asghar Department of Applied Mathematics - Mathematical Science Faculty - University of Tabriz, Tabriz, Iran , Jahangiri Rad, Mohammad Department of Mathematics - Faculty of Science - Tabriz Branch Islamic Azad University, Tabriz, Iran
Pages
10
From page
816
To page
825
Abstract
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.
Keywords
Fractional Sturm-Liouville , Eigenvalues , Mittag-Leffler functions , Conformable derivative
Journal title
Computational Methods for Differential Equations
Serial Year
2022
Record number
2720601
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