Existence of Solutions for Coupled System of Sequential Liouville–Caputo-Type Fractional Integrodifferential Equations

The present investigation aims to establish the existence and uniqueness of solutions for a system containing sequential fractional differential equations. Furthermore, boundary conditions that include the Riemann–Liouville fractional integral are taken into consideration. The existence of unknown f...

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Vydáno v:Fractal and fractional Ročník 7; číslo 11; s. 800
Hlavní autoři: Murugesan, Manigandan, Muthaiah, Subramanian, Vadivel, Rajarathinam, Unyong, Bundit
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 01.11.2023
Témata:
Boundary conditions
Boundary value problems
Differential equations
existence
Fixed points (mathematics)
Fractional calculus
fractional integrodifferential equations
Integrals
Iterative methods
Liouville–Caputo derivatives
Mathematical analysis
Mathematical functions
Riemann–Liouville integrals
sequential derivatives
uniqueness
ISSN:2504-3110, 2504-3110
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Popis
Shrnutí:The present investigation aims to establish the existence and uniqueness of solutions for a system containing sequential fractional differential equations. Furthermore, boundary conditions that include the Riemann–Liouville fractional integral are taken into consideration. The existence of unknown functions, fractional derivatives, and fractional integrals at lower orders are necessary for the nonlinearity to exist. In order to provide proofs for the results presented in this study, the Leray–Schauder alternative and the Banach fixed-point theorem are utilised. Finally, examples are used to support the main results.
Bibliografie:ObjectType-Article-1
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ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract7110800