Mixed Erdélyi-Kober and Caputo fractional differential equations with nonlocal non-separated boundary conditions

Mixed Erdélyi-Kober and Caputo fractional differential equations with nonlocal non-separated boundary conditions

In this paper, we investigate a sequential fractional boundary value problem that contains a combination of Erdélyi-Kober and Caputo fractional derivative operators subject to nonlocal, non-separated boundary conditions. We establish the uniqueness of the solution by using Banach's fixed point...

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Bibliographic Details
Main Authors: Ayub Samadi, Chaiyod Kamthorncharoen, Sotiris K. Ntouyas, Jessada Tariboon
Format: Article
Language:English
Published: AIMS Press 2024-11-01
Series:AIMS Mathematics
Subjects:
erdélyi-kober fractional derivative
caputo fractional derivative
existence and uniqueness
fixed point theorems
nonlocal boundary conditions
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241574?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20241574?viewType=HTML

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