Explicit iteration and unique solution for ϕ-Hilfer type fractional Langevin equations

Explicit iteration and unique solution for ϕ-Hilfer type fractional Langevin equations

This paper proves that the monotone iterative method is an effective method to find the approximate solution of fractional nonlinear Langevin equation involving ϕ-Hilfer fractional derivative with multi-point boundary conditions. First, we apply a approach based on the properties of the Mittag-Leffl...

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Bibliographic Details
Main Authors: Abdulkafi M. Saeed, Mohammed A. Almalahi, Mohammed S. Abdo
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:AIMS Mathematics
Subjects:
fractional langevin equation
existence
ϕ-hilfer fractional derivative
extremal solutions
nonlocal boundary conditions
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022192?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022192?viewType=HTML

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