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

作者：Tariboon Jessada^*; Ntouyas Sotiris K; Thaiprayoon Chatthai

来源：Advances in Mathematical Physics, 2014, 2014: 372749.

DOI：10.1155/2014/372749

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.

• 出版日期2014