In this article, we consider an initial value problem for a nonlinear differential equation with RiemannLiouville 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 $(0,T]\times\mathbb{R}.$
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Primary Language  en 

Subjects  Mathematics 
Journal Section  Mathematics 
Authors 

Dates 
Publication Date : October 6, 2020 
Bibtex  @research article { hujms512563,
journal = {Hacettepe Journal of Mathematics and Statistics},
issn = {2651477X},
eissn = {2651477X},
address = {},
publisher = {Hacettepe University},
year = {2020},
volume = {49},
pages = {1718  1725},
doi = {10.15672/hujms.512563},
title = {Some analysis on a fractional differential equation with a righthand side which has a discontinuity at zero},
key = {cite},
author = {Sert, Uğur and Şan, Müfit}
} 
APA  Sert, U , Şan, M . (2020). Some analysis on a fractional differential equation with a righthand side which has a discontinuity at zero . Hacettepe Journal of Mathematics and Statistics , 49 (5) , 17181725 . DOI: 10.15672/hujms.512563 
MLA  Sert, U , Şan, M . "Some analysis on a fractional differential equation with a righthand side which has a discontinuity at zero" . Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 17181725 <https://dergipark.org.tr/en/pub/hujms/issue/57199/512563> 
Chicago  Sert, U , Şan, M . "Some analysis on a fractional differential equation with a righthand side which has a discontinuity at zero". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 17181725 
RIS  TY  JOUR T1  Some analysis on a fractional differential equation with a righthand side which has a discontinuity at zero AU  Uğur Sert , Müfit Şan Y1  2020 PY  2020 N1  doi: 10.15672/hujms.512563 DO  10.15672/hujms.512563 T2  Hacettepe Journal of Mathematics and Statistics JF  Journal JO  JOR SP  1718 EP  1725 VL  49 IS  5 SN  2651477X2651477X M3  doi: 10.15672/hujms.512563 UR  https://doi.org/10.15672/hujms.512563 Y2  2019 ER  
EndNote  %0 Hacettepe Journal of Mathematics and Statistics Some analysis on a fractional differential equation with a righthand side which has a discontinuity at zero %A Uğur Sert , Müfit Şan %T Some analysis on a fractional differential equation with a righthand side which has a discontinuity at zero %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651477X2651477X %V 49 %N 5 %R doi: 10.15672/hujms.512563 %U 10.15672/hujms.512563 
ISNAD  Sert, Uğur , Şan, Müfit . "Some analysis on a fractional differential equation with a righthand side which has a discontinuity at zero". Hacettepe Journal of Mathematics and Statistics 49 / 5 (October 2020): 17181725 . https://doi.org/10.15672/hujms.512563 
AMA  Sert U , Şan M . Some analysis on a fractional differential equation with a righthand side which has a discontinuity at zero. Hacettepe Journal of Mathematics and Statistics. 2020; 49(5): 17181725. 
Vancouver  Sert U , Şan M . Some analysis on a fractional differential equation with a righthand side which has a discontinuity at zero. Hacettepe Journal of Mathematics and Statistics. 2020; 49(5): 17181725. 