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
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
