Novel Algorithms To Approximate the Solution of Nonlinear Integro-Differential Equations of Volterra-Fredholm Integro Type
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Date
2023
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Amer inst Mathematical Sciences-aims
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GOLD
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Abstract
This study is devoted to examine the existence and uniqueness behavior of a nonlinear integro-differential equation of Volterra-Fredholm integral type in continues space. Then, we examine its solution by modification of Adomian and homotopy analysis methods numerically. Initially, the proposed model is reformulated into an abstract space, and the existence and uniqueness of solution is constructed by employing Arzela-Ascoli and Krasnoselskii fixed point theorems. Furthermore, suitable generation. At last, three test examples are presented to verify the established theoretical concepts.
Description
Hamarashid, Hawser/0000-0002-1493-6518; Mohammed, Pshtiwan/0000-0001-6837-8075; Almusawa, Musawa/0000-0001-8485-7113
Keywords
Nonlinear Integro Equation, Boundary Value Problem, Arzela-Ascoli Theorem, Krasnosel'Skii Theorem, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, Riccati equation, Differential equation, QA1-939, FOS: Mathematics, Fixed-point theorem, Biology, nonlinear integro equation, Anomalous Diffusion Modeling and Analysis, Integral equation, Numerical Analysis, Ecology, Integro-differential equation, Applied Mathematics, Fredholm integral equation, Physics, Pure mathematics, Applied mathematics, Homotopy analysis method, boundary value problem, Modeling and Simulation, FOS: Biological sciences, krasnosel'skii theorem, Physical Sciences, Nonlinear system, arzela-ascoli theorem, Uniqueness, Homotopy, Type (biology), Mathematics, Nonlinear Systems
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Citation
Hamarashid, Hawsar;...et.al. (2023). "Novel algorithms to approximate the solution of nonlinear integro-differential equations of Volterra-Fredholm integro type", AIMS Mathematics, Vol.8, no.6, pp.14572-14591.
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Q1
Scopus Q
Q1
OpenCitations Citation Count
8
Source
AIMS Mathematics
Volume
8
Issue
6
Start Page
14572
End Page
14591
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