%0 Journal Article %T Inverse Laplace transform method for multiple solutions of the fractional Sturm-Liouville problems %J Computational Methods for Differential Equations %I University of Tabriz %Z 2345-3982 %A Dastmalchi Saei, Farhad %A Abbasi, Sadegh %A Mirzayi, Zhila %D 2014 %\ 01/01/2014 %V 2 %N 1 %P 56-61 %! Inverse Laplace transform method for multiple solutions of the fractional Sturm-Liouville problems %K Laplace transform %K Fractional Sturm-Liouville problem %K Caputo's fractional derivative %K eigenvalue %R %X In this paper, inverse Laplace transform method is applied to analytical solution of the fractional Sturm-Liouville problems. The method introduces a powerful tool for solving the eigenvalues of the fractional Sturm-Liouville problems. The results  how that the simplicity and efficiency of this method. %U https://cmde.tabrizu.ac.ir/article_2498_1309b9e8503adfd2a6e6e1bb6afc7769.pdf