Results on non local impulsive implicit Caputo-Hadamard fractional differential equations

Results on non local impulsive implicit Caputo-Hadamard fractional differential equations

The results for a new modeling integral boundary value problem using Caputo-Hadamard impulsive implicit fractional differential equations with Banach space are investigated, along with the existence and uniqueness of solutions. The Krasnoselskii fixed-point theorem, Schaefer's fixed point theor...

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Bibliographic Details
Main Authors: K. Venkatachalam, M. Sathish Kumar, P. Jayakumar
Format: Article
Language:English
Published: AIMS Press 2024-09-01
Series:Mathematical Modelling and Control
Subjects:
fractional differential equation
caputo-hadamard
existence
uniqueness
fixed point theorems
Online Access:https://www.aimspress.com/article/doi/10.3934/mmc.2024023
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Summary:The results for a new modeling integral boundary value problem using Caputo-Hadamard impulsive implicit fractional differential equations with Banach space are investigated, along with the existence and uniqueness of solutions. The Krasnoselskii fixed-point theorem, Schaefer's fixed point theorem and the Banach contraction principle serve as the basis of this unique strategy, and are used to achieve the desired results. We develop the illustrated examples at the end of the paper to support the validity of the theoretical statements.
ISSN:2767-8946

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