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Information Journal Paper

Title

Eigenvalues of fractional Sturm-Liouville problems by successive method

Pages

  1163-1175

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-Le, er function and its derivatives.

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    APA: Copy

    Massah Maralani, Elnaz, Dastmalchi Saei, Farhad, Jodayree Akbarfam, Ali Asghar, & Ghanbari, Kazem. (2021). Eigenvalues of fractional Sturm-Liouville problems by successive method. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 9(4), 1163-1175. SID. https://sid.ir/paper/1058508/en

    Vancouver: Copy

    Massah Maralani Elnaz, Dastmalchi Saei Farhad, Jodayree Akbarfam Ali Asghar, Ghanbari Kazem. Eigenvalues of fractional Sturm-Liouville problems by successive method. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2021;9(4):1163-1175. Available from: https://sid.ir/paper/1058508/en

    IEEE: Copy

    Elnaz Massah Maralani, Farhad Dastmalchi Saei, Ali Asghar Jodayree Akbarfam, and Kazem Ghanbari, “Eigenvalues of fractional Sturm-Liouville problems by successive method,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 9, no. 4, pp. 1163–1175, 2021, [Online]. Available: https://sid.ir/paper/1058508/en

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