Nonlinear Langevin equation of Hadamard-Caputo type fractional derivatives with nonlocal fractional integral conditions
type: Item
instance of: scholarly article
title: Nonlinear Langevin equation of Hadamard-Caputo type fractional derivatives with nonlocal fractional integral conditions
zbMATH Open document ID: 1311.34020
DOI: 10.1155/2014/372749
author: Jessada Tariboon
author: Sotiris K. Ntouyas
author: Chatthai Thaiprayoon
published in: Advances in Mathematical Physics
publication date: 2015-03-27T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B10
zbMATH DE Number: 6420241
Wikidata QID: Q59045934
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/372749
OpenAlex ID: W2086604585
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description: scientific article; zbMATH DE number 6420241