1
Department of Mathematics, Suleyman Demirel University, 32260 Isparta, Turkey
2
Department of Mathematics, Mehmet Akif Ersoy University, Burdur, Turkey
10.22080/cjms.2022.22877.1616
Abstract
In this article, we study a conformable fractional heat conduction equation. Applying the method of separation variables to this problem, we get a conformable fractional Sturm–Liouville eigenvalue problem. Later, we prove the existence of a countably infinite set of eigenvalues and eigenfunctions. Finally, we establish uniformly convergent expansions in the eigenfunctions.
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