Yıl 2019, Cilt , Sayı 16, Sayfalar 205 - 210 2019-08-31

Efficient Method for the Solution of Fractional-order Differential Equations with Variable Coefficients
Değişken Katsayılı Kesirli Mertebeden Diferansiyel Denklemler için Etkili bir Yöntem

Arzu Turan Dincel [1]


In this paper, we propose the Bernoulli wavelet approximation for the solution of the fractional differential equations with variable coefficients. In the proposed method, the fractional derivatives are transformed using the operational matrix of fractional order integration and by doing that differential equation reduces to a system of algebraic equations. The operational matrix of fractional order integration is obtained via block pulse functions. Illustrative examples are presented. The examples demonstrate that the method is accurate and efficient.

Bu çalışmada, değişken katsayılı kesirli diferansiyel denklemlerin çözümü için Bernoulli wavelet yaklaşımını öneriyoruz. Önerilen yöntemde, kesirli mertebeden integrasyonun operasyonel matrisi türetilir ve bu diferansiyel denklemin bir cebirsel denklem sistemine indirgenmesi sağlanır. Kesirli mertebeden integrasyonun operasyonel matrisi block pulse fonksiyonları ile elde edilir. Açıklayıcı örnekler sunulmaktadır. Örnekler, yöntemin doğru ve verimli olduğunu göstermektedir.


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Orcid: 0000-0002-0416-1878
Yazar: Arzu Turan Dincel (Sorumlu Yazar)
Kurum: yıldız teknik üniversitesi
Ülke: Turkey


Tarihler

Yayımlanma Tarihi : 31 Ağustos 2019

Bibtex @araştırma makalesi { ejosat547166, journal = {Avrupa Bilim ve Teknoloji Dergisi}, issn = {}, eissn = {2148-2683}, address = {}, publisher = {Osman SAĞDIÇ}, year = {2019}, volume = {}, pages = {205 - 210}, doi = {}, title = {Efficient Method for the Solution of Fractional-order Differential Equations with Variable Coefficients}, key = {cite}, author = {Turan Dincel, Arzu} }
APA Turan Dincel, A . (2019). Efficient Method for the Solution of Fractional-order Differential Equations with Variable Coefficients. Avrupa Bilim ve Teknoloji Dergisi , (16) , 205-210 . Retrieved from https://dergipark.org.tr/tr/pub/ejosat/issue/45333/547166
MLA Turan Dincel, A . "Efficient Method for the Solution of Fractional-order Differential Equations with Variable Coefficients". Avrupa Bilim ve Teknoloji Dergisi (2019 ): 205-210 <https://dergipark.org.tr/tr/pub/ejosat/issue/45333/547166>
Chicago Turan Dincel, A . "Efficient Method for the Solution of Fractional-order Differential Equations with Variable Coefficients". Avrupa Bilim ve Teknoloji Dergisi (2019 ): 205-210
RIS TY - JOUR T1 - Efficient Method for the Solution of Fractional-order Differential Equations with Variable Coefficients AU - Arzu Turan Dincel Y1 - 2019 PY - 2019 N1 - DO - T2 - Avrupa Bilim ve Teknoloji Dergisi JF - Journal JO - JOR SP - 205 EP - 210 VL - IS - 16 SN - -2148-2683 M3 - UR - Y2 - 2019 ER -
EndNote %0 Avrupa Bilim ve Teknoloji Dergisi Efficient Method for the Solution of Fractional-order Differential Equations with Variable Coefficients %A Arzu Turan Dincel %T Efficient Method for the Solution of Fractional-order Differential Equations with Variable Coefficients %D 2019 %J Avrupa Bilim ve Teknoloji Dergisi %P -2148-2683 %V %N 16 %R %U
ISNAD Turan Dincel, Arzu . "Efficient Method for the Solution of Fractional-order Differential Equations with Variable Coefficients". Avrupa Bilim ve Teknoloji Dergisi / 16 (Ağustos 2019): 205-210 .
AMA Turan Dincel A . Efficient Method for the Solution of Fractional-order Differential Equations with Variable Coefficients. Avrupa Bilim ve Teknoloji Dergisi. 2019; (16): 205-210.
Vancouver Turan Dincel A . Efficient Method for the Solution of Fractional-order Differential Equations with Variable Coefficients. Avrupa Bilim ve Teknoloji Dergisi. 2019; (16): 210-205.