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In the Banach space of real functions which are defined, bounded and continuous on an unbounded interval, we study the solvability of a perturbed Erdélyi–Kober fractional quadratic integral equation.
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<t<1,x(0)=0,where 0<α⩽1 and D0+α denotes the Riemann–Liouville fractional derivative. The main tool in our study is the technique of measures of noncompactness in the Banach algebras. Also, we present some examples to illustrate...
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