A Comprehensive Study of Nonlinear Mixed Integro-Differential Equations of the Third Kind for Initial Value Problems: Existence, Uniqueness and Numerical Solutions

A Comprehensive Study of Nonlinear Mixed Integro-Differential Equations of the Third Kind for Initial Value Problems: Existence, Uniqueness and Numerical Solutions

Nonlinear mixed integro-differential equations (NM-IDEs) of the third kind present a complex challenge during solving initial value problems (IVPs), particularly after converting them from standard forms. In this work, we address the existence and uniqueness of a type of NM-IDEs employing Picard’s m...

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Bibliographic Details
Main Authors: Ahmed S. Rahby, Sameh S. Askar, Ahmad M. Alshamrani, Gamal A. Mosa
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Axioms
Subjects:
nonlinear differential equations
nonlinear integro-differential equations
Picard’s method
homotopy analysis method and error analysis
Online Access:https://www.mdpi.com/2075-1680/14/4/282
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