Fractional di¤erential transformation method for sturm-liouville problem

Fractional Di¤erential Transformation Method for Sturm-Liouville Problem This study consists of …ve chapters. In the …rst chapter, general concepts of fractional calculus and spectral theory. In the second chapter, some fundamental de…nitions and theorems are given. In the third chapter, di¤erential transformation method is introduced. Furthermore, this method is applied for some di¤erential equations. In the forth chapter, fractional di¤erential transformation method is given and eigenvalues is obtained for fractional Sturm-Liouville problem. The last chapter of this thesis, the existence and uniqueness of the solution for a fractional Sturm-Liouville boundary value problem is proved. Keywords: Sturm-Liouville, Eigenvalues, Fractional Calculus, Caputo, Fractional Di¤erential Transformation Method, Riemann Liouville, Potential