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.
Allahverdiev, B., Tuna, H., & Yalcinkaya, Y. (2023). On the solution of conformable fractional heat conduction equation. Caspian Journal of Mathematical Sciences, 12(2), 258-273. doi: 10.22080/cjms.2022.22877.1616
MLA
Bilender Allahverdiev; Huseyin Tuna; Yuksel Yalcinkaya. "On the solution of conformable fractional heat conduction equation", Caspian Journal of Mathematical Sciences, 12, 2, 2023, 258-273. doi: 10.22080/cjms.2022.22877.1616
HARVARD
Allahverdiev, B., Tuna, H., Yalcinkaya, Y. (2023). 'On the solution of conformable fractional heat conduction equation', Caspian Journal of Mathematical Sciences, 12(2), pp. 258-273. doi: 10.22080/cjms.2022.22877.1616
VANCOUVER
Allahverdiev, B., Tuna, H., Yalcinkaya, Y. On the solution of conformable fractional heat conduction equation. Caspian Journal of Mathematical Sciences, 2023; 12(2): 258-273. doi: 10.22080/cjms.2022.22877.1616
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