Solving functional integrodifferential equations with Liouville-Caputo fractional derivatives by fixed point techniques

Solving functional integrodifferential equations with Liouville-Caputo fractional derivatives by fixed point techniques

The existence and uniqueness of solutions to fractional-order functional and neutral functional integrodifferential equations with infinite delay and multi-term fractional integral boundary conditions are investigated in this paper. Rigorous mathematical frameworks for analyzing these hybrid equatio...

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Bibliographic Details
Main Authors: Manal Elzain Mohamed Abdalla, Hasanen A. Hammad
Format: Article
Language:English
Published: AIMS Press 2025-03-01
Series:AIMS Mathematics
Subjects:
fractional derivative
fixed point technique
existence result
evolution metrics
boundary value problem
phase space
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025281
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Summary:The existence and uniqueness of solutions to fractional-order functional and neutral functional integrodifferential equations with infinite delay and multi-term fractional integral boundary conditions are investigated in this paper. Rigorous mathematical frameworks for analyzing these hybrid equations are established utilizing fixed point theorems. Notably, the fractional derivative is defined in the Liouville-Caputo sense, allowing for a comprehensive examination of nonlocal dynamics. Illustrative examples are provided to complement the theoretical results and demonstrate the applicability and practicality of the main results.
ISSN:2473-6988

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