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Article

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

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Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore 641020, Tamil Nadu, India
2
Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore 641407, Tamil Nadu, India
3
Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University, Phuket 83000, Thailand
*
Author to whom correspondence should be addressed.
Academic Editors: Haci Mehmet Baskonus and John R. Graef
Fractal Fract. 2022, 6(6), 285; https://doi.org/10.3390/fractalfract6060285
Received: 21 March 2022 / Revised: 23 April 2022 / Accepted: 7 May 2022 / Published: 26 May 2022
(This article belongs to the Special Issue Initial and Boundary Value Problems for Differential Equations)
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. View Full-Text
Keywords: fractional differential equations; tripled system; existence; fixed point theorems; stability fractional differential equations; tripled system; existence; fixed point theorems; stability
MDPI and ACS Style

Manigandan, M.; Subramanian, M.; Nandha Gopal, T.; Unyong, B. Existence and Stability Results for a Tripled System of the Caputo Type with Multi-Point and Integral Boundary Conditions. Fractal Fract. 2022, 6, 285. https://doi.org/10.3390/fractalfract6060285

AMA Style

Manigandan M, Subramanian M, Nandha Gopal T, Unyong B. Existence and Stability Results for a Tripled System of the Caputo Type with Multi-Point and Integral Boundary Conditions. Fractal and Fractional. 2022; 6(6):285. https://doi.org/10.3390/fractalfract6060285

Chicago/Turabian Style

Manigandan, Murugesan, Muthaiah Subramanian, Thangaraj Nandha Gopal, and Bundit Unyong. 2022. "Existence and Stability Results for a Tripled System of the Caputo Type with Multi-Point and Integral Boundary Conditions" Fractal and Fractional 6, no. 6: 285. https://doi.org/10.3390/fractalfract6060285

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