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

Document Type : Research Paper

Authors

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

2 Department of Science, Payame Noor University, PO BOX 19395-3697 Tehran, Iran.

3 Department of Applied Mathematics, Mathematical Science Faculty, University of Tabriz, 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

References

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Computational Methods for Differential Equations
Volume 10, Issue 3
July 2022
Pages 816-825

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History

  • Receive Date: 09 April 2021
  • Revise Date: 03 September 2021
  • Accept Date: 22 November 2021

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