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, 1-15

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:372749

DOI: 10.1155/2014/372749

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