Existence and Stability Results for a Tripled System of the Caputo Type with Multi-Point and Integral Boundary Conditions

Existence and Stability Results for a Tripled System of the Caputo Type with Multi-Point and Integral Boundary Conditions

In this paper, we introduce and investigate the existence and stability of a tripled system of sequential fractional differential equations (SFDEs) with multi-point and integral boundary conditions. The existence and uniqueness of the solutions are established by the principle of Banach’s contractio...

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Bibliographic Details
Main Authors: Murugesan Manigandan, Muthaiah Subramanian, Thangaraj Nandha Gopal, Bundit Unyong
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Fractal and Fractional
Subjects:
fractional differential equations
tripled system
existence
fixed point theorems
stability
Online Access:https://www.mdpi.com/2504-3110/6/6/285
Description
Summary:In this paper, we introduce and investigate the existence and stability of a tripled system of sequential fractional differential equations (SFDEs) with multi-point and integral boundary conditions. The existence and uniqueness of the solutions are established by the principle of Banach’s contraction and the alternative of Leray–Schauder. The stability of the Hyer–Ulam solutions are investigated. A few examples are provided to identify the major results.
ISSN:2504-3110

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