Numerical Solution of Multi-Order Fractional Differential Equations Using Generalized Sine-Cosine Wavelets

Somayeh NEMATİ; Anas AL-HABOOBİ

doi:https://doi.org/10.32323/ujma.427381

Makale detayları

Numerical Solution of Multi-Order Fractional Differential Equations Using Generalized Sine-Cosine Wavelets

Yazarlar:

Somayeh NEMATİ | Anas AL-HABOOBİ

Yayıncı:

Emrah Evren KARA

Ana Başlıklar:

Matematik

Dergi:

Universal Journal of Mathematics and Applications 2018 Vol.1 Issue 4, pp.215-225

Belge Tipi:

Makale

Yayın Tarihi:

12/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000670118

Sıklık:

Üç Aylık

pISSN:

2619-9653

DOI:

https://doi.org/10.32323/ujma.427381

Özet:

 


In this work, we propose a numerical method based on the generalized sine-cosine wavelets for solving multi-order fractional differential equations. After introducing generalized sine-cosine wavelets, the operational matrix of Riemann-Liouville fractional integration is constructed using the properties of the block-pulse functions. The fractional derivative in the problem is considered in the Caputo sense. This method reduces the considered problem to the problem of solving a system of nonlinear algebraic equations. Finally, some examples are included to demonstrate the applicability of the new approach.

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Makale detayları

Numerical Solution of Multi-Order Fractional Differential Equations Using Generalized Sine-Cosine Wavelets

Yazarlar: Somayeh NEMATİ | Anas AL-HABOOBİ

Yayıncı: Emrah Evren KARA

Ana Başlıklar: Matematik

Dergi: Universal Journal of Mathematics and Applications 2018 Vol.1 Issue 4, pp.215-225

Belge Tipi: Makale

Yayın Tarihi: 12/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000670118

Sıklık: Üç Aylık

pISSN: 2619-9653

DOI: https://doi.org/10.32323/ujma.427381

Sayı

Yazarlar:

Somayeh NEMATİ | Anas AL-HABOOBİ

Yayıncı:

Emrah Evren KARA

Ana Başlıklar:

Matematik

Dergi:

Universal Journal of Mathematics and Applications 2018 Vol.1 Issue 4, pp.215-225

Belge Tipi:

Makale

Yayın Tarihi:

12/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000670118

Sıklık:

Üç Aylık

pISSN:

2619-9653

DOI:

https://doi.org/10.32323/ujma.427381