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Existence of nonnegative solutions for a fractional integro-differential equation - MaRDI portal

Existence of nonnegative solutions for a fractional integro-differential equation (Q2406475)

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Existence of nonnegative solutions for a fractional integro-differential equation
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    Existence of nonnegative solutions for a fractional integro-differential equation (English)
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    4 October 2017
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    Consider the nonlinear fractional integro-differential equation \[ D_{0^{+}}^{\alpha }u(t)+f(t,u(t),Tu(t),Su(t)=0, \] subject to multi-point boundary conditions. By using the Banach contraction mapping principle and the Krasnosel'skii fixed point theorem, the existence of nonnegative solutions is investigated. An example illustrating the results is given
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    fractional integro-differential equation
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    multi-point boundary conditions
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    nonnegative solutions
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