Conformable Fractional Cosine Families of Operators

Elomari M'HAMED; Said MELLİANİ; L. S. CHADLİ

doi:https://doi.org/10.33187/jmsm.435481

Makale detayları

Conformable Fractional Cosine Families of Operators

Yazarlar:

Elomari M'HAMED | Said MELLİANİ | L. S. CHADLİ

Yayıncı:

Mahmut AKYİĞİT

Ana Başlıklar:

Matematik

Dergi:

Journal of Mathematical Sciences and Modelling 2019 Vol.2 Issue 2, pp.112-116

Belge Tipi:

Makale

Yayın Tarihi:

8/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000486668

Sıklık:

Aylık

pISSN:

2636-8692

DOI:

https://doi.org/10.33187/jmsm.435481

Özet:

 


In this paper we are concerned with the problem {u(α)(t)=Au(t)+f(t,u(t))t∈[0,T]u(0)=u0,Dαu(0)=u1{u(α)(t)=Au(t)+f(t,u(t))t∈[0,T]u(0)=u0,Dαu(0)=u1\begin{eqnarray*}\begin{cases} u^{(\alpha)}(t)=Au(t)+f(t,u(t))& t\in [0,T]\\ u(0)=u_0, D^{\alpha}u(0)=u_1\end{cases}\end{eqnarray*}  {u(α)(t)=Au(t)+f(t,u(t))t∈[0,T]u(0)=u0,Dαu(0)=u1{u(α)(t)=Au(t)+f(t,u(t))t∈[0,T]u(0)=u0,Dαu(0)=u1\begin{eqnarray*}     \begin{cases}     u^{(\alpha)}(t)=Au(t)+f(t,u(t))& t\in [0,T]\\     u(0)=u_0, D^{\alpha}u(0)=u_1     \end{cases}   \label{pb1} \end{eqnarray*}   Where α∈(1,2]α∈(1,2]\alpha\in (1,2], and we use the conformable derivative. We give the notion of αα\alpha-Cosine families and proveded the existence and uniqueness of the problem 0.1.

.

Makale detayları

Conformable Fractional Cosine Families of Operators

Yazarlar: Elomari M'HAMED | Said MELLİANİ | L. S. CHADLİ

Yayıncı: Mahmut AKYİĞİT

Ana Başlıklar: Matematik

Dergi: Journal of Mathematical Sciences and Modelling 2019 Vol.2 Issue 2, pp.112-116

Belge Tipi: Makale

Yayın Tarihi: 8/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000486668

Sıklık: Aylık

pISSN: 2636-8692

DOI: https://doi.org/10.33187/jmsm.435481

Sayı

Yazarlar:

Elomari M'HAMED | Said MELLİANİ | L. S. CHADLİ

Yayıncı:

Mahmut AKYİĞİT

Ana Başlıklar:

Matematik

Dergi:

Journal of Mathematical Sciences and Modelling 2019 Vol.2 Issue 2, pp.112-116

Belge Tipi:

Makale

Yayın Tarihi:

8/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000486668

Sıklık:

Aylık

pISSN:

2636-8692

DOI:

https://doi.org/10.33187/jmsm.435481