Existence Theory for q‐Antiperiodic Boundary Value Problems of Sequential q‐Fractional Integrodifferential Equations

Ravi P. Agarwal, Bashir Ahmad, Ahmed Alsaedi and Hana Al-Hutami

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We discuss the existence and uniqueness of solutions for a new class of sequential q‐fractional integrodifferential equations with q‐antiperiodic boundary conditions. Our results rely on the standard tools of fixed‐point theory such as Krasnoselskii′s fixed‐point theorem, Leray‐Schauder nonlinear alternative, and Banach′s contraction principle. An illustrative example is also presented.

Date: 2014
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https://doi.org/10.1155/2014/207547

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:207547

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