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
Published in:Fractal and fractional 2022-06, Vol.6 (6), p.285
Main Authors: Manigandan, Murugesan, Subramanian, Muthaiah, Nandha Gopal, Thangaraj, Unyong, Bundit
Format: Article
Language:English
Subjects:
Boundary conditions
Calculus
Differential equations
existence
fixed point theorems
Fractional calculus
fractional differential equations
Signal processing
Stability
tripled system
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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
2504-3110
DOI:10.3390/fractalfract6060285