Title :
Nontrivial Solutions of Singular Sign-Changing Nonlinear Dirichlet-Type Fractional Differential Equation
Author_Institution :
Xi´´an Railway Vocational & Tech. Inst., Xi´´an, China
Abstract :
By establishing a new Leray-Schauder degree theo rem for a completely continuous field, we dealt with the existence of nontrivial solutions for a class of singular sign-changing nonlinear Dirichlet-type fractional differential equation. This work improves and generalizes the previous existence results for both integer fractional differential equations and fractional differential equations.
Keywords :
nonlinear differential equations; Leray-Schauder degree theorem; integer fractional differential equations; nontrivial solutions; singular sign-changing nonlinear Dirichlet-type fractional differential equation; Boundary value problems; Eigenvalues and eigenfunctions; Equations; Green function; Integral equations; Sun;
Conference_Titel :
Power and Energy Engineering Conference (APPEEC), 2011 Asia-Pacific
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-6253-7
DOI :
10.1109/APPEEC.2011.5748805