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Monotone iterative technique for periodic problem involving Riemann–Liouville fractional derivatives in Banach spaces

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In this paper, we use a monotone iterative technique in the presence of lower and upper solutions to discuss the existence and uniqueness of periodic solutions for a class of… Click to show full abstract

In this paper, we use a monotone iterative technique in the presence of lower and upper solutions to discuss the existence and uniqueness of periodic solutions for a class of fractional differential equations in an ordered Banach space E. Under some monotonicity conditions and noncompactness measure conditions of nonlinearity, we obtain the existence of extremal solutions and a unique solution between lower and upper solutions.

Keywords: periodic problem; technique periodic; problem involving; iterative technique; monotone iterative

Journal Title: Boundary Value Problems
Year Published: 2018

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