A Truncated VV\mathcal{V}-Fractional Derivative in RnRn\mathbb{R}^n

José Vanterler Da Costa SOUSA; Edmundo Capelas De OLİVEİRA

Makale detayları

A Truncated VV\mathcal{V}-Fractional Derivative in RnRn\mathbb{R}^n

Yazarlar:

José Vanterler Da Costa SOUSA | Edmundo Capelas De OLİVEİRA

Yayıncı:

Matematikçiler Derneği

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Turkish Journal of Mathematics and Computer Science 2018 Vol.8, pp.49-64

Belge Tipi:

Makale

Yayın Tarihi:

6/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000638706

Sıklık:

İki Yıllık

eISSN:

2148-1830

Özet:

 


Using the six parameters truncated Mittag-Leffler function, we introduce a convenient truncated function to define the so-called truncated V-fractional derivative type. In this sense, we propose the derivative of a vector valued function and define the V-fractional Jacobian matrix whose properties allow us to say that: the multivariable truncated V-fractional derivative type, as proposed here, generalizes the truncated V-fractional derivative type and can bee extended to obtain a truncated V-fractional partial derivative type. As applications, we discuss and prove the order change associated with two indices  of two truncated V-fractional partial derivative type and propose the truncated V-fractional Green theorem.

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Makale detayları

A Truncated VV\mathcal{V}-Fractional Derivative in RnRn\mathbb{R}^n

Yazarlar: José Vanterler Da Costa SOUSA | Edmundo Capelas De OLİVEİRA

Yayıncı: Matematikçiler Derneği

Ana Başlıklar: Uygulamalı fizik

Dergi: Turkish Journal of Mathematics and Computer Science 2018 Vol.8, pp.49-64

Belge Tipi: Makale

Yayın Tarihi: 6/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000638706

Sıklık: İki Yıllık

eISSN: 2148-1830

Sayı

Yazarlar:

José Vanterler Da Costa SOUSA | Edmundo Capelas De OLİVEİRA

Yayıncı:

Matematikçiler Derneği

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Turkish Journal of Mathematics and Computer Science 2018 Vol.8, pp.49-64

Belge Tipi:

Makale

Yayın Tarihi:

6/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000638706

Sıklık:

İki Yıllık

eISSN:

2148-1830