Multiple positive solutions to singular positone and semipositone m-point boundary value problems of nonlinear fractional differential equations
نویسندگان
چکیده
where 1 < α < 2, 0 < βi < 1, i = 1, 2, . . . ,m – 2, 0 < η1 < η2 < · · · < ηm–2 < 1, ∑m–2 i=1 βiη α–1 i < 1, D α 0+ is the standard Riemann–Liouville derivative. Here our nonlinearity f may be singular at u = 0. As an application of Green’s function, we give some multiple positive solutions for singular positone and semipositone boundary value problems by means of the Leray–Schauder nonlinear alternative and a fixed point theorem on cones.
منابع مشابه
Singular Positone and Semipositone Boundary Value Problems of Nonlinear Fractional Differential Equations
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