Applications of Elzaki decomposition method to fractional relaxation-oscillation and fractional biological population equations

Chanchlani, Lata; Agrawal, Mohini; Pandey, Rupakshi Mishra; Purohıt, Sunıl Dutt; Suthar, D. L.

doi:10.1080/27690911.2022.2154766

Applied Mathematics in Science and Engineering

2023

DOI: 10.1080/27690911.2022.2154766

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Applications of Elzaki decomposition method to fractional relaxation-oscillation and fractional biological population equations

Lata Chanchlani

Mohini Agrawal

Rupakshi Mishra Pandey

et al.

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2024

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Cited by 2 publications

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Numerical analysis of multi-dimensional Navier–Stokes equation based on Yang–Abdel–Cattani fractional operator

Aychluh,

Ayalew,

Suthar

et al. 2024

Int. J. Math. Ind.

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The Navier–Stokes equation is a key governing equation for the motion of viscous fluid flow. The main target of our work is to obtain the solution to multi-dimensional Navier–Stokes equations in the Yang–Abdel–Cattani fractional sense. The results of the model are in terms of the three-parameter Prabhakar function. Three examples are discussed that depend on the recommended method for a novel Yang–Abdel–Cattani arbitrary order operator. The obtained results are plotted with the help of MATLAB R2016a mathematical software.

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Numerical analysis of multi-dimensional Navier–Stokes equation based on Yang–Abdel–Cattani fractional operator

Aychluh,

Ayalew,

Suthar

et al. 2024

Int. J. Math. Ind.

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Approximate analytical solutions of the nonlinear fractional order financial model by two efficient methods with a comparison study

Liaqat,

Khan,

Irshad

et al. 2024

Вестник Самарского государственного технического университета.

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Финансовая система является важной составляющей в регулировании глобальных экономических процессов, поскольку обеспечение безопасности или контроль финансовой системы или рынка является ключом к стабилизации экономики. Целью данного исследования является выяснение, насколько приближенные аналитические решения, полученные с помощью метода остаточного степенного ряда и метода разложения Эльзаки для дробной нелинейной финансовой модели, соответствуют экономической теории. Здесь понятие дробной производной используется в смысле производной Капуто. Полученные численные результаты показывают, как приближенные решения реагируют на изменения процентной ставки, инвестиционного спроса и индекса цен. Оба метода показали результаты, согласующиеся с экономической теорией. Это означает, что исследователи могут использовать эти два метода для решения различных задач, связанных с дробными нелинейными моделями в финансовых системах.

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Applications of Elzaki decomposition method to fractional relaxation-oscillation and fractional biological population equations

Cited by 2 publications

References 23 publications

Numerical analysis of multi-dimensional Navier–Stokes equation based on Yang–Abdel–Cattani fractional operator

Numerical analysis of multi-dimensional Navier–Stokes equation based on Yang–Abdel–Cattani fractional operator

Approximate analytical solutions of the nonlinear fractional order financial model by two efficient methods with a comparison study

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