Nonlinear Langevin Equation of Hadamard‐Caputo Type Fractional Derivatives with Nonlocal Fractional Integral Conditions

Jessada Tariboon, Sotiris K. Ntouyas and Chatthai Thaiprayoon

Advances in Mathematical Physics, 2014, vol. 2014, issue 1

Abstract: We study existence and uniqueness of solutions for a problem consisting of nonlinear Langevin equation of Hadamard‐Caputo type fractional derivatives with nonlocal fractional integral conditions. A variety of fixed point theorems are used, such as Banach’s fixed point theorem, Krasnoselskii’s fixed point theorem, Leray‐Schauder’s nonlinear alternative, and Leray‐Schauder’s degree theory. Enlightening examples illustrating the obtained results are also presented.

Date: 2014
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https://doi.org/10.1155/2014/372749

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2014:y:2014:i:1:n:372749

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