Some analysis on a fractional differential equation with a right-hand side which has a discontinuity at zero

Uğur SERT; Müfit ŞAN

doi:https://doi.org/10.15672/hujms.512563

Makale detayları

Some analysis on a fractional differential equation with a right-hand side which has a discontinuity at zero

Yazarlar:

Uğur SERT | Müfit ŞAN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 5, pp.1718-1725

Belge Tipi:

Makale

Yayın Tarihi:

10/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000450944

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.512563

Özet:

 


In this article, we consider an initial value problem for a nonlinear differential equation with Riemann-Liouville fractional derivative. By proposing a new approach, we prove local existence and uniqueness of the solution when the nonlinear function on the right hand side of the equation under consideration is continuous on (0,T]×R.(0,T]×R.(0,T]\times\mathbb{R}.

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Makale detayları

Some analysis on a fractional differential equation with a right-hand side which has a discontinuity at zero

Yazarlar: Uğur SERT | Müfit ŞAN

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 5, pp.1718-1725

Belge Tipi: Makale

Yayın Tarihi: 10/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000450944

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.512563

Sayı

Yazarlar:

Uğur SERT | Müfit ŞAN

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2020 Vol.49 Issue 5, pp.1718-1725

Belge Tipi:

Makale

Yayın Tarihi:

10/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000450944

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.512563