Solvability of a fractional hybrid initial value problem with supremum by using measures of noncompactness in Banach algebras

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In this paper, we study the existence of solutions for the following fractional hybrid initial value problem with supremumD0+αx(t)f(t,x(t),max0⩽τ⩽t|x(τ)|)=g(t,x(t)),0

论文关键词:Hybrid initial value problem,Measure of noncompactness,Banach algebras,Riemann–Liouville fractional derivative

论文评审过程:Available online 28 September 2013.

论文官网地址:https://doi.org/10.1016/j.amc.2013.08.060