Yıl 2018, Cilt 30 , Sayı 4, Sayfalar 478 - 486 2018-12-31

APPROXIMATE SOLUTIONS OF FRACTIONAL BOUNDARY VALUE PROBLEMS BASED ON BETA FRACTIONAL DERIVATIVE
BETA KESİRLİ TÜREVLİ SINIR DEĞER PROBLEMLERİNİN YAKLAŞIK ÇÖZÜMLERİ

Sebahat Ebru DAŞ [1]


In this work, we consider some fractional differential equations with different boundary conditions. Sinc-collocation method (SCM) has been employed to obtain the approximate solution for these fractional boundary value problems (FBVPs). Beta-derivative is taken for the fractional derivatives. Intercalarity, several test samples with numerical simulations are handled. Convergence analysis shows that SCM  is a consistent and effective method.

Bu çalışmada, bazı farklı sınır koşullu kesirli diferansiyel denklemleri ele aldık. Bu kesirli sınır değer problemlerinin için yaklaşık çözüm belirlemek için  Sinc sıralama yöntemi kullanılmıştır. Kesirli türevler için Beta türevi alınmıştır. Ek olarak, birtakım örnekler sayısal simulasyonları ile ele alınmıştır. Yakınsaklık analizi, Sinc sıralama yönteminin tuttarlı ve etkin bir yöntem olduğunu göstermiştir.

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Birincil Dil en
Konular Mühendislik
Bölüm Araştırma Makaleleri
Yazarlar

Orcid: 0000-0002-4746-8140
Yazar: Sebahat Ebru DAŞ (Sorumlu Yazar)
Kurum: YILDIZ TEKNİK ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK BÖLÜMÜ
Ülke: Turkey


Tarihler

Yayımlanma Tarihi : 31 Aralık 2018

Bibtex @araştırma makalesi { marufbd440412, journal = {Marmara Fen Bilimleri Dergisi}, issn = {}, eissn = {2146-5150}, address = {}, publisher = {Marmara Üniversitesi}, year = {2018}, volume = {30}, pages = {478 - 486}, doi = {10.7240/marufbd.440412}, title = {APPROXIMATE SOLUTIONS OF FRACTIONAL BOUNDARY VALUE PROBLEMS BASED ON BETA FRACTIONAL DERIVATIVE}, key = {cite}, author = {DAŞ, Sebahat Ebru} }
APA DAŞ, S . (2018). APPROXIMATE SOLUTIONS OF FRACTIONAL BOUNDARY VALUE PROBLEMS BASED ON BETA FRACTIONAL DERIVATIVE. Marmara Fen Bilimleri Dergisi , 30 (4) , 478-486 . DOI: 10.7240/marufbd.440412
MLA DAŞ, S . "APPROXIMATE SOLUTIONS OF FRACTIONAL BOUNDARY VALUE PROBLEMS BASED ON BETA FRACTIONAL DERIVATIVE". Marmara Fen Bilimleri Dergisi 30 (2018 ): 478-486 <https://dergipark.org.tr/tr/pub/marufbd/issue/40256/440412>
Chicago DAŞ, S . "APPROXIMATE SOLUTIONS OF FRACTIONAL BOUNDARY VALUE PROBLEMS BASED ON BETA FRACTIONAL DERIVATIVE". Marmara Fen Bilimleri Dergisi 30 (2018 ): 478-486
RIS TY - JOUR T1 - APPROXIMATE SOLUTIONS OF FRACTIONAL BOUNDARY VALUE PROBLEMS BASED ON BETA FRACTIONAL DERIVATIVE AU - Sebahat Ebru DAŞ Y1 - 2018 PY - 2018 N1 - doi: 10.7240/marufbd.440412 DO - 10.7240/marufbd.440412 T2 - Marmara Fen Bilimleri Dergisi JF - Journal JO - JOR SP - 478 EP - 486 VL - 30 IS - 4 SN - -2146-5150 M3 - doi: 10.7240/marufbd.440412 UR - https://doi.org/10.7240/marufbd.440412 Y2 - 2018 ER -
EndNote %0 Marmara Fen Bilimleri Dergisi APPROXIMATE SOLUTIONS OF FRACTIONAL BOUNDARY VALUE PROBLEMS BASED ON BETA FRACTIONAL DERIVATIVE %A Sebahat Ebru DAŞ %T APPROXIMATE SOLUTIONS OF FRACTIONAL BOUNDARY VALUE PROBLEMS BASED ON BETA FRACTIONAL DERIVATIVE %D 2018 %J Marmara Fen Bilimleri Dergisi %P -2146-5150 %V 30 %N 4 %R doi: 10.7240/marufbd.440412 %U 10.7240/marufbd.440412
ISNAD DAŞ, Sebahat Ebru . "APPROXIMATE SOLUTIONS OF FRACTIONAL BOUNDARY VALUE PROBLEMS BASED ON BETA FRACTIONAL DERIVATIVE". Marmara Fen Bilimleri Dergisi 30 / 4 (Aralık 2019): 478-486 . https://doi.org/10.7240/marufbd.440412
AMA DAŞ S . APPROXIMATE SOLUTIONS OF FRACTIONAL BOUNDARY VALUE PROBLEMS BASED ON BETA FRACTIONAL DERIVATIVE. MFBD. 2018; 30(4): 478-486.
Vancouver DAŞ S . APPROXIMATE SOLUTIONS OF FRACTIONAL BOUNDARY VALUE PROBLEMS BASED ON BETA FRACTIONAL DERIVATIVE. Marmara Fen Bilimleri Dergisi. 2018; 30(4): 486-478.