%0 Journal Article
%T Existence and exact asymptotic behaviour of positive solutions for fractional boundary value problem with P-Laplacian operator
%A Adnane Hamiaz
%A Bilel Khamessi
%J Journal of Taibah University for Science
%D 2019
%R https://doi.org/10.1080/16583655.2019.1579953
%X ABSTRACT This paper deals with existence, uniqueness and global behaviour of a positive solution for the fractional boundary value problem D¦Â(¦×(x)¦µp(D¦Áu))=a(x)u¦Ò in (0,1) with the condition limx¡ú0D¦Â£¿1(¦×(x)¦µp(D¦Áu(x)))=limx¡ú1¦×(x)¦µp(D¦Áu(x))=0andlimx¡ú0D¦Á£¿1u(x)=u(1)=0, where ¦Â,¦Á¡Ê(1,2], ¦µp(t)=t|t|p£¿2, p>1, ¦Ò¡Ê(1£¿p,p£¿1), the differential operator is taken in the Riemann¨CLiouville sense and ¦×,a :(0,1)£¿R are non-negative and continuous functions that may are singular at x=0 or x=1 and satisfies some appropriate conditions
%U https://www.tandfonline.com/doi/full/10.1080/16583655.2019.1579953