The Langevin Equation in Terms of Generalized Liouville–Caputo Derivatives with Nonlocal Boundary Conditions Involving a Generalized Fractional Integral

The Langevin Equation in Terms of Generalized Liouville–Caputo Derivatives with Nonlocal Boundary Conditions Involving a Generalized Fractional Integral

In this paper, we establish sufficient conditions for the existence of solutions for a nonlinear Langevin equation based on Liouville-Caputo-type generalized fractional differential operators of different orders, supplemented with nonlocal boundary conditions involving a generalized integral operato...

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Bibliographic Details
Main Authors: Bashir Ahmad, Madeaha Alghanmi, Ahmed Alsaedi, Hari M. Srivastava, Sotiris K. Ntouyas
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Mathematics
Subjects:
Langevin equation
generalized fractional integral
generalized Liouville–Caputo derivative
nonlocal boundary conditions
existence
fixed point
Online Access:https://www.mdpi.com/2227-7390/7/6/533

Internet

https://www.mdpi.com/2227-7390/7/6/533

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