The generalized conformable derivative for ۴α-order Sturm-Liouville problems

Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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JR_CMDE-10-3_019

تاریخ نمایه سازی: 9 بهمن 1401

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.

Authors

Mohammad Jafari

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

Farhad Dastmalchi Saei

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

Ali Asghar Jodayree Akbarfam

Department of Applied Mathematics, Mathematical Science Faculty, University of Tabriz, Tabriz, Iran.

Mohammad Jahangiri Rad

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

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