On the existence and Ulam-Hyers stability for implicit fractional differential equation via fractional integral-type boundary conditions

On the existence and Ulam-Hyers stability for implicit fractional differential equation via fractional integral-type boundary conditions

This study investigates the existence of solutions for implicit fractional differential equations with fractional-order integral boundary conditions. We create the required conditions to ensure unique solution and Ulam-Hyers-Rassias stability. We also give examples to highlight the major findings.

Bibliographic Details
Main Authors: El-Sayed Ahmed Mohamad, Al-Issa Shorouk Mahmoud, El Miari Maysaa Mohamad
Format: Article
Language:English
Published: De Gruyter 2024-04-01
Series:Demonstratio Mathematica
Subjects:
implicit fractional-order differential equation
existence results
green’s function
boundary value problems
ulam-hyers stability
26a33
34k45
47g10
Online Access:https://doi.org/10.1515/dema-2023-0130

Internet

https://doi.org/10.1515/dema-2023-0130

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