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Fractional Beta Sturm-Liouville Equation | ||
Caspian Journal of Mathematical Sciences | ||
دوره 14، شماره 1 - شماره پیاپی 27، 2025، صفحه 1-14 اصل مقاله (141.12 K) | ||
نوع مقاله: Research Articles | ||
شناسه دیجیتال (DOI): 10.22080/cjms.2025.28151.1732 | ||
نویسندگان | ||
Bilender PAŞAOĞLU ALLAHVERDİEV1؛ Hüseyin TUNA2؛ YÜKSEL YALÇINKAYA* 3 | ||
1Department of Mathematics, Khazar University, AZ1096 Baku, Azerbaijan | ||
2Department of Mathematics, Mehmet Akif Ersoy University, 15030 Burdur, Turkey | ||
3Department of Mathematics, Süleyman Demirel University, 32260 Isparta, Turkey | ||
تاریخ دریافت: 14 آذر 1403، تاریخ بازنگری: 01 بهمن 1403، تاریخ پذیرش: 02 اسفند 1403 | ||
چکیده | ||
In this study, beta-derived Sturm–Liouville problems are discussed. First, the existence and uniqueness problem for such equations is discussed. Then, self-adjointness is obtained with the help of boundary conditions. Eigenfunction expansion was obtained with the help of characteristic determinants and Green’s function. Finally, an example is given showing the theoretical results obtained. | ||
کلیدواژهها | ||
Fractional differential equations؛ self-adjoint operators؛ Green’s function؛ eigenfunction expansion | ||
آمار تعداد مشاهده مقاله: 57 تعداد دریافت فایل اصل مقاله: 27 |