B. K. Singh, M. Awasthi, S. Agrawal, Mukesh Gupta, Ravi Tomar
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引用次数: 0
Abstract
Abstract The present article proposes a new-integral transform-based variational iteration technique (NTVIT) to study the behavior of higher-order nonlinear time-fractional delayed differential equations. The NTVIT is a hybrid technique that is developed via the concept of variational theory with the use of the properties of a new integral transform. The stability and convergence of NTVIT are analyzed via Banach’s fixed point theory. The effectiveness and validity of NTVIT solutions are demonstrated via the evaluation of error norms: relative/absolute errors for some test suitable delayed problems of different fractional order. The numerical experiments confirms that NTVIT is capable of producing highly accurate behaviors as compared to some existing techniques.
期刊介绍：
The Journal of Nonlinear Engineering aims to be a platform for sharing original research results in theoretical, experimental, practical, and applied nonlinear phenomena within engineering. It serves as a forum to exchange ideas and applications of nonlinear problems across various engineering disciplines. Articles are considered for publication if they explore nonlinearities in engineering systems, offering realistic mathematical modeling, utilizing nonlinearity for new designs, stabilizing systems, understanding system behavior through nonlinearity, optimizing systems based on nonlinear interactions, and developing algorithms to harness and leverage nonlinear elements.
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