Masalah Sturm-Liouville Singular Fraksional

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Published Jul 31, 2017

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Nurul Qomariyah
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Abstract

Masalah Sturm-Liouville dibagi menjadi tiga jenis yaitu reguler, periodik, dan singular. Masalah Sturm-Liouville fraksional merupakan perluasan masalah Sturm-Liouville biasa, yaitu dengan memperluas order derivatif bulat menjadi fraksional (tidak bulat). Masalah Sturm-Liouville fraksional dapat dibangun dengan mengganti turunan fraksonal pada operator Sturm-Liouville biasa. Pada penelitian ini diselidiki masalah Sturm-Liouville singular fraksional. Penyelidikan difokuskan pada sifat-sifat self-adjoint, nilai eigen, fungsi eigen, dan kesederhanaan dari masalah Sturm-Liouville singular fraksional. Terakhir, diperoleh sifat-sifat masalah Sturm-Liouville singular fraksional yaitu memuat operator self-adjoint, mempunyai nilai eigen real, fungsi eigen dari nilai eigen yang berbeda ortogonal terhadap fungsi bobot, dan nilai eigennya sederhana (simple).

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How to Cite
QOMARIYAH, Nurul. Masalah Sturm-Liouville Singular Fraksional. Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai-Nilai Islami), [S.l.], v. 1, n. 1, p. 541-546, july 2017. Available at: <http://conferences.uin-malang.ac.id/index.php/SIMANIS/article/view/186>. Date accessed: 26 apr. 2024.
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Issue
Vol 1 No 1 (2017): Prosiding SI MaNIs (Seminar Nasional Integrasi Matematika dan Nilai Islami )
Section
Mathematics
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References

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