Fractional Langevin Equation Involving Two Fractional Orders: Existence and Uniqueness Revisited
We consider the nonlinear fractional Langevin equation involving two fractional orders with initial conditions. Using some basic properties of Prabhakar integral operator, we find an equivalent Volterra integral equation with two parameter Mittag–Leffler function in the kernel to the mentioned equat...
Main Authors: | Hossein Fazli, HongGuang Sun, Juan J. Nieto |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2020-05-01
|
Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/8/5/743 |
Similar Items
-
Generalized Langevin Equation and the Prabhakar Derivative
by: Trifce Sandev
Published: (2017-11-01) -
A basic study of a fractional integral operator with extended Mittag-Leffler kernel
by: Gauhar Rahman, et al.
Published: (2021-09-01) -
Controllability of nonlinear fractional Langevin delay systems
by: Pitchaikkannu Suresh Kumar, et al.
Published: (2019-04-01) -
A class of Langevin time-delay differential equations with general fractional orders and their applications to vibration theory
by: Ismail T. Huseynov, et al.
Published: (2021-12-01) -
Local stable manifold of Langevin differential equations with two fractional derivatives
by: JinRong Wang, et al.
Published: (2017-10-01)