Yıl 2018, Cilt 22, Sayı 6, Sayfalar 1601 - 1608 2018-12-01
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## trenKesirli mertebeden sınır değer problemlerini çözmek için bir sıralama yöntemiA collocation method for solving boundary value problems of fractional order

#### SERTAN ALKAN [1] , AYDIN SEÇER [2]

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Bu makalede sinc sıralama yöntemi, uyumlu kesirli türev içeren ikinci mertebeden kesirli sınır değer problemlerinin çözümünü elde etmek için kullanıldı. Bu amaçla sinc baz fonksiyonlarının kesirli türevlerini içeren terimleri ifade etmek için bir teorem ispat edildi. Yöntemin etkinliğini ve doğruluğunu göstermek için bazı problemler çözüldü ve elde edilen çözümler diğer sayısal yöntemler kullanılarak elde edilen yaklaşık çözümler ve problemlerin tam çözümleri ile karşılaştırıldı.

In this paper, the sinc collocation method is used to obtain the solution of the second-order fractional boundary value problems based on the conformable fractional derivative. For this purpose a theorem is proved to represent the terms having fractional derivatives in terms of sinc basis functions. To show the efficiency and accuracy of the present method, some problems are solved and the obtained solutions are compared with the approximate solutions obtained by using the other numerical methods as well as the exact solutions of the problems.
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Birincil Dil en Matematik December 2018 Araştırma Makalesi Yazar: SERTAN ALKANKurum: ISKENDERUN TECHNICAL UNIVERSITYÜlke: Turkey Yazar: AYDIN SEÇERKurum: Yildiz Technical UniversityÜlke: Turkey
 Bibtex @araştırma makalesi { saufenbilder352088, journal = {Sakarya University Journal of Science}, issn = {1301-4048}, eissn = {2147-835X}, address = {Sakarya Üniversitesi}, year = {2018}, volume = {22}, pages = {1601 - 1608}, doi = {10.16984/saufenbilder.352088}, title = {A collocation method for solving boundary value problems of fractional order}, key = {cite}, author = {ALKAN, SERTAN and SEÇER, AYDIN} } APA ALKAN, S , SEÇER, A . (2018). A collocation method for solving boundary value problems of fractional order. Sakarya University Journal of Science, 22 (6), 1601-1608. DOI: 10.16984/saufenbilder.352088 MLA ALKAN, S , SEÇER, A . "A collocation method for solving boundary value problems of fractional order". Sakarya University Journal of Science 22 (2018): 1601-1608 Chicago ALKAN, S , SEÇER, A . "A collocation method for solving boundary value problems of fractional order". Sakarya University Journal of Science 22 (2018): 1601-1608 RIS TY - JOUR T1 - A collocation method for solving boundary value problems of fractional order AU - SERTAN ALKAN , AYDIN SEÇER Y1 - 2018 PY - 2018 N1 - doi: 10.16984/saufenbilder.352088 DO - 10.16984/saufenbilder.352088 T2 - Sakarya University Journal of Science JF - Journal JO - JOR SP - 1601 EP - 1608 VL - 22 IS - 6 SN - 1301-4048-2147-835X M3 - doi: 10.16984/saufenbilder.352088 UR - http://dx.doi.org/10.16984/saufenbilder.352088 Y2 - 2018 ER - EndNote %0 Sakarya University Journal of Science A collocation method for solving boundary value problems of fractional order %A SERTAN ALKAN , AYDIN SEÇER %T A collocation method for solving boundary value problems of fractional order %D 2018 %J Sakarya University Journal of Science %P 1301-4048-2147-835X %V 22 %N 6 %R doi: 10.16984/saufenbilder.352088 %U 10.16984/saufenbilder.352088 ISNAD ALKAN, SERTAN , SEÇER, AYDIN . "Kesirli mertebeden sınır değer problemlerini çözmek için bir sıralama yöntemi". Sakarya University Journal of Science 22 / 6 (Aralık 2018): 1601-1608. http://dx.doi.org/10.16984/saufenbilder.352088