ReviewInternational journal of applied and computational mathematics2022
Study of a Nonlinear System of Fractional Differential Equations with Deviated Arguments Via Adomian Decomposition Method.
Review in International journal of applied and computational mathematics, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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3 citing papers in PubMed.
- Soliton structures of fractional coupled Drinfel'd-Sokolov-Wilson equation arising in water wave mechanics.Scientific reports · 2024Article
- New solutions of time-fractional cancer tumor models using modified He-Laplace algorithm.Heliyon · 2024Article
- A Fractional Order Model Studying the Role of Negative and Positive Attitudes towards Vaccination.Vaccines · 2022Article
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2 authors.
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Abstract
This paper studies a system of nonlinear fractional differential equations (FDEs) with deviated arguments. Many linear and nonlinear problems are faced in the real-life. Generally, linear problems are solved quickly, but some difficulties appear while solving nonlinear problems. Our purpose is to approximate those solutions numerically via the Adomian decomposition method (ADM). Here, our main goal is to apply the ADM to solve higher-order nonlinear system of FDEs with deviated arguments. We prove the existence and uniqueness of the solution using Banach contraction principle. Moreover, we plot the figures of ADM solutions using MATLAB.
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