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By means of the monotone iterative method, in [24], the following PBVP of fractional differential equation was considered: left { textstylebegin{array}{l} D_{0^^{alpha}u(t)=f (t,u(t) ),quad tin 0,T], t^{1-alpha}u(t)|_{t=0}=t^{1-alpha}u(t)|_{t=T}, end{array}displaystyle right.

In [4], the following problem was considered: left { textstylebegin{array}{l} u_{tt}-Delta u+g u_{t})+f u)=0,quad xinOmega, t>0, u=0,quad xinpartialOmega, tgeq0, u x,0)=u_{0}(x), qquad u_{t} x,0)=u_{1}(x),quad xinOmega,end{array}displaystyle right.

In [10], the following boundary value problem of the fractional differential equation was considered: left { textstylebegin{array}{l} ^{c}D^{alpha}u(t)+f t, u(t))=0, quad 0< t< 1, u(0)=u'(1)= u 0)=0, end{array}displaystyle right.

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