Four Different Ulam-Type Stability for Implicit Second-Order Fractional Integro-Differential Equation with M-Point Boundary Conditions

Four Different Ulam-Type Stability for Implicit Second-Order Fractional Integro-Differential Equation with M-Point Boundary Conditions

In this paper, we discuss the existence and uniqueness of a solution for the implicit two-order fractional integro-differential equation with m-point boundary conditions by applying the Banach fixed point theorem. Moreover, in the paper we establish the four different varieties of Ulam stability (Hy...

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Bibliographic Details
Main Authors: Ilhem Nasrallah, Rabiaa Aouafi, Said Kouachi
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Mathematics
Subjects:
fractional differential equation
Caputo’s fractional derivative
Ulam stability
two-order
fixed point theorem
Online Access:https://www.mdpi.com/2227-7390/13/1/157
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Summary:In this paper, we discuss the existence and uniqueness of a solution for the implicit two-order fractional integro-differential equation with m-point boundary conditions by applying the Banach fixed point theorem. Moreover, in the paper we establish the four different varieties of Ulam stability (Hyers–Ulam stability, generalized Hyers–Ulam stability, Hyers–Ulam-Rassias stability, and generalized Hyers–Ulam–Rassias stability) for the given problem.
ISSN:2227-7390

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