Nonlinear Langevin Equation of Hadamard-Caputo Type Fractional Derivatives with Nonlocal Fractional Integral Conditions
Joint Authors
Tariboon, Jessada
Ntouyas, Sotiris. K.
Thaiprayoon, Chatthai
Source
Advances in Mathematical Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-11-25
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Tariboon, Jessada& Ntouyas, Sotiris. K.& Thaiprayoon, Chatthai. 2014. Nonlinear Langevin Equation of Hadamard-Caputo Type Fractional Derivatives with Nonlocal Fractional Integral Conditions. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1015548
Modern Language Association (MLA)
Tariboon, Jessada…[et al.]. Nonlinear Langevin Equation of Hadamard-Caputo Type Fractional Derivatives with Nonlocal Fractional Integral Conditions. Advances in Mathematical Physics No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-1015548
American Medical Association (AMA)
Tariboon, Jessada& Ntouyas, Sotiris. K.& Thaiprayoon, Chatthai. Nonlinear Langevin Equation of Hadamard-Caputo Type Fractional Derivatives with Nonlocal Fractional Integral Conditions. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-1015548
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015548
