Ulam-Hyers stability and existence results for a coupled sequential Hilfer-Hadamard-type integrodifferential system

This study aimed to investigate the existence, uniqueness, and Ulam-Hyers stability of solutions in a nonlinear coupled system of Hilfer-Hadamard sequential fractional integrodifferential equations, which were further enhanced by nonlocal coupled Hadamard fractional integrodifferential multipoint bo...

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Veröffentlicht in:AIMS mathematics Jg. 9; H. 6; S. 16203 - 16233
Hauptverfasser: Muthaiah, Subramanian, Murugesan, Manigandan, Awadalla, Muath, Unyong, Bundit, Egami, Ria H.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: AIMS Press 01.01.2024
Schlagworte:
coupled integrodifferential system
derivatives
existence
hadamard integrals
hilfer-hadamard derivatives
multi-points
sequential derivatives
ulam-hyers stability
uniqueness
ISSN:2473-6988, 2473-6988
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Abstract This study aimed to investigate the existence, uniqueness, and Ulam-Hyers stability of solutions in a nonlinear coupled system of Hilfer-Hadamard sequential fractional integrodifferential equations, which were further enhanced by nonlocal coupled Hadamard fractional integrodifferential multipoint boundary conditions. The desired conclusions were obtained by using well-known fixed-point theorems. It was emphasized that the fixed-point technique was useful in determining the existence and uniqueness of solutions to boundary value problems. In addition, we examined the solution's Ulam-Hyers stability for the suggested system. The resulting results were further demonstrated and validated using demonstration instances.
AbstractList This study aimed to investigate the existence, uniqueness, and Ulam-Hyers stability of solutions in a nonlinear coupled system of Hilfer-Hadamard sequential fractional integrodifferential equations, which were further enhanced by nonlocal coupled Hadamard fractional integrodifferential multipoint boundary conditions. The desired conclusions were obtained by using well-known fixed-point theorems. It was emphasized that the fixed-point technique was useful in determining the existence and uniqueness of solutions to boundary value problems. In addition, we examined the solution's Ulam-Hyers stability for the suggested system. The resulting results were further demonstrated and validated using demonstration instances.
Author Muthaiah, Subramanian
Murugesan, Manigandan
Awadalla, Muath
Egami, Ria H.
Unyong, Bundit
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  surname: Muthaiah
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  givenname: Manigandan
  surname: Murugesan
  fullname: Murugesan, Manigandan
  organization: Center for Computational Modeling, Chennai Institute of Technology, Chennai, 600069, Tamil Nadu, India
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  givenname: Muath
  surname: Awadalla
  fullname: Awadalla, Muath
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  givenname: Bundit
  surname: Unyong
  fullname: Unyong, Bundit
  organization: Department of Mathematics and Statistics, Center of Excellence for Ecoinformatics, School of Science, Walailak University, Nakhon Si Thammarat 80160, Thailand
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  givenname: Ria H.
  surname: Egami
  fullname: Egami, Ria H.
  organization: Department of Mathematics, College of Science and Humanities in Sulail, Prince Sattam Bin Abdulaziz University, Saudi Arabia
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10.1155/2021/8031524
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Snippet This study aimed to investigate the existence, uniqueness, and Ulam-Hyers stability of solutions in a nonlinear coupled system of Hilfer-Hadamard sequential...
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StartPage 16203
SubjectTerms coupled integrodifferential system
derivatives
existence
hadamard integrals
hilfer-hadamard derivatives
multi-points
sequential derivatives
ulam-hyers stability
uniqueness
Title Ulam-Hyers stability and existence results for a coupled sequential Hilfer-Hadamard-type integrodifferential system
URI https://doaj.org/article/0b1e2a573acd434ead9dacb19ef4cb7b
Volume 9
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