The (4\alpha-\rho) order Sturm-Liouville problem with generalized fractional derivative

Articles in Press

Document Type : Research Paper

Authors

1 Department of Science, Payame Noor University, Tehran, Iran.

2 Department of Mathematics Faculty of Science Tabriz Branch, Islamic Azad University, Tabriz, Iran.

Abstract

In this paper we analyze the generalized fractional derivative with two parameters for fourth-order Sturm--Liouville problems. These parameters are $\alpha$(the fractional order) and $\rho$(a real number). In the following, we discuss five different forms of Sturm--Liouville problems, which are solved using the $\rho-$Laplace transform.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 27 January 2025

Files

History

  • Receive Date: 15 March 2024
  • Revise Date: 05 November 2024
  • Accept Date: 26 January 2025

Share

How to cite

Statistics