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Aghazadeh, Arezu, Mahmoudi, Yaghoub. (1402). On approximating eigenvalues and eigenfunctions of fractional order Sturm-Liouville problems. سامانه مدیریت نشریات علمی, 11(4), 811-821. doi: 10.22034/cmde.2022.52790.2221
Arezu Aghazadeh; Yaghoub Mahmoudi. "On approximating eigenvalues and eigenfunctions of fractional order Sturm-Liouville problems". سامانه مدیریت نشریات علمی, 11, 4, 1402, 811-821. doi: 10.22034/cmde.2022.52790.2221
Aghazadeh, Arezu, Mahmoudi, Yaghoub. (1402). 'On approximating eigenvalues and eigenfunctions of fractional order Sturm-Liouville problems', سامانه مدیریت نشریات علمی, 11(4), pp. 811-821. doi: 10.22034/cmde.2022.52790.2221
Aghazadeh, Arezu, Mahmoudi, Yaghoub. On approximating eigenvalues and eigenfunctions of fractional order Sturm-Liouville problems. سامانه مدیریت نشریات علمی, 1402; 11(4): 811-821. doi: 10.22034/cmde.2022.52790.2221

On approximating eigenvalues and eigenfunctions of fractional order Sturm-Liouville problems

Computational Methods for Differential Equations
مقاله 11، دوره 11، شماره 4، مهر 2023، صفحه 811-821    اصل مقاله (339.51 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.52790.2221
نویسندگان
Arezu Aghazadeh؛ Yaghoub Mahmoudi*
Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran.
چکیده
In this paper, the eigenvalues and corresponding eigenfunctions of a fractional order Sturm-Liouville problem (FSLP) are approximated by using the fractional differential transform method (FDTM), which is a generalization of the differential transform method (DTM). FDTM reduces the proposed fourth-order FSLP to a system of algebraic equations. The resulting coefficient matrix defines a characteristic polynomial which its roots correspond to the eigenvalues of FSLP. The obtained numerical results which are compared with the results of other papers confirm the efficiency of the method.
کلیدواژه‌ها
Sturm-Liouville problem؛ Caputo fractional derivative؛ Eigenvalue؛ Eigenfunction
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