Title of article
Eigenvalues of fractional Sturm-Liouville problems by successive method
Author/Authors
Massah Maralani, Elnaz Department of Mathematics - Tabriz Branch - Islamic Azad University - Tabriz, Iran , Dastmalchi Saei, Farhad Department of Mathematics - Tabriz Branch - Islamic Azad University - Tabriz, Iran , Jodayree Akbarfam, Ali Asghar Department of Applied Mathematics - Mathematical Science Faculty - University of Tabriz - Tabriz, Iran , Ghanbari, Kazem Department of Mathematics - Sahand University of Technology - Tabriz, Iran
Pages
13
From page
1163
To page
1175
Abstract
In this paper, we consider a fractional Sturm-Liouville equation of the form, cD 0+ D 0+y(t) + q(t)y(t) = y(t); 0 < < 1; t 2 [0; 1]; with Dirichlet boundary conditions I1 0+ y(t)jt=0 = 0; and I1 0+ y(t)jt=1 = 0;
where, the sign is composition of two operators and q 2 L2(0; 1), is a real-valued
potential function. We use a recursive method based on Picard's successive method
to nd the solution of this problem. We prove the method is convergent and show
that the eigenvalues are obtained from the zeros of the Mittag-Leffer function and
its derivatives.
Keywords
Fractional Sturm-Liouville , Fractional calculus , Sucssesive methods , Eigenvalues
Journal title
Computational Methods for Differential Equations
Serial Year
2021
Record number
2666754
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