Abstract
We investigate the existence and multiplicity of positive solutions for a system of Riemann–Liouville fractional differential equations with singular nonnegative nonlinearities and p-Laplacian operators, subject to nonlocal boundary conditions which contain fractional derivatives and Riemann–Stieltjes integrals.
Highlights
We consider the system of fractional differential equations ( α β D0+( φr1 ( D0+1 u(t))) + f (t, u(t), v(t)) = 0, t ∈ (0, 1), β D0α+( φr2 ( D0+2 v(t))) + g(t, u(t), v(t)) = 0, t ∈ (0, 1), (1)with the nonlocal boundary conditions β1 γ0 ( j)u (0) = 0, j = 0, . . . , n − 2; D0+ u(0) = 0, D0+ u(1) =
Under some assumptions on the functions f and g, we present existence and multiplicity results for the positive solutions of problem (1) and (2)
In [5], by applying the fixed point theorem for mixed monotone operators, the authors proved the existence of positive solutions for the multi-point boundary value problem for nonlinear Riemann–Liouville fractional differential equations
Summary
In [5], by applying the fixed point theorem for mixed monotone operators, the authors proved the existence of positive solutions for the multi-point boundary value problem for nonlinear Riemann–. Systems with fractional differential equations without p-Laplacian operators, with parameters or without parameters, subject to various multi-point or Riemann–Stieltjes integral boundary conditions were studied in the last years in [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27].
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