The article entitled “On the solution of conformable fractional heat conduction equation”, the first author of which is Bilander Allahverdiyev, professor of the Khazar University Department of Mathematics, was published in the "Caspian Journal of Mathematical Sciences" (2023, Vol. 12, No. 2). Note that "Caspian Journal of Mathematical Sciences" is indexed in MathSciNet (Mathematical Reviews) and Zentralblatt MATH databases.

The article studies 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.

Link to the article:

https://cjms.journals.umz.ac.ir/issue_756_787.html

https://cjms.journals.umz.ac.ir/