The $(4\alpha-\rho)$ order Sturm-Liouville problem with generalized fractional derivative
نویسندگان
1 Department of Science, Payame Noor University, Tehran, Iran.
2 Department of Mathematics Faculty of Science Tabriz Branch, Islamic Azad University, Tabriz, Iran.
doi
10.22034/cmde.2024.60925.2604چکیده
In this paper, we analyze the generalized fractional derivative with two parameters for fourth-order Sturm-Liouville problems. These parameters are $\alpha$({\em the fractional order}) and $\rho$ ({\em a real number}). In the following, we discuss five different forms of Sturm--Liouville problems, which are solved using the $\rho-$Laplace transform.
