Open AccessSingular Positone and Semipositone Boundary Value Problems of Nonlinear Fractional Differential Equations
Author(s) -
Chengjun Yuan,
Daqing Jiang,
Xiaojie Xu
Publication year - 2009
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2009/535209
Subject(s) - algorithm , computer science
We present some new existence results for singular positone and semipositone nonlinear fractional boundary value problem D0+αu(t)=μa(t)f(t,u(t)), 00, a, and f are continuous, α∈(3,4] is a real number, and D0+α is Riemann-Liouville fractional derivative. Throughout our nonlinearity may be singularin its dependent variable. Two examples are also given to illustrate the main results
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom