On fractional Langevin equation involving two fractional orders in different intervals

In this paper, we study a nonlinear Langevin equation involving two fractional orders  α ∈ (0; 1] and β ∈ (1; 2] with initial conditions. By means of an interesting fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for the fractional equations. Som...

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Bibliographic Details
Main Authors: Hamid Baghani, Juan J. Nieto
Format: Article
Language:English
Published: Vilnius University Press 2019-11-01
Series:Nonlinear Analysis
Online Access:http://www.journals.vu.lt/nonlinear-analysis/article/view/14902