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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Vydáno v:Fractal and fractional Ročník 6; číslo 6; s. 285
Hlavní autoři: Manigandan, Murugesan, Subramanian, Muthaiah, Nandha Gopal, Thangaraj, Unyong, Bundit
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 01.06.2022
Témata:
Boundary conditions
Calculus
Differential equations
existence
fixed point theorems
Fractional calculus
fractional differential equations
Signal processing
Stability
tripled system
ISSN:2504-3110, 2504-3110
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract6060285