New Iterative Method of Solving Nonlinear Equations in Fluid Mechanics [PDF]
International Journal of Applied Mechanics and Engineering, 2021 This paper presents the results of applying a new iterative method to linear and nonlinear fractional partial differential equations in fluid mechanics.
M. Paliivets +4 more
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Characteristic Cauchy’s problem with prehistory in the case of nonlinear differential equations in partial derivatives [PDF]
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, 2020 We have built a constructive method of investigation and approximate solution for nonlinear Gursa’s problem with prehistory. We have established sufficient condition of subsistence, existence of unity and constant signs solution of the investigated problem. At mathematical description to different nature process (gas sorption, the spread of moisture in
O. I. Kohutych, V. V. Marynets
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Effective Method for Solving Different Types of Nonlinear Fractional Burgers’ Equations [PDF]
Mathematics, 2020 In this study, a relatively new method to solve partial differential equations (PDEs) called the fractional reduced differential transform method (FRDTM) is used. The implementation of the method is based on an iterative scheme in series form.
Safyan Mukhtar +3 more
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Exact Solutions to the Fractional Differential Equations with Mixed Partial Derivatives [PDF]
Axioms, 2018 In this paper, the solvability of nonlinear fractional partial differential equations (FPDEs) with mixed partial derivatives is considered. The invariant subspace method is generalized and is then used to derive exact solutions to the nonlinear FPDEs ...
Jun Jiang, Yuqiang Feng, Shougui Li
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Bounder solution on a strip to a system of nonlinear hyperbolic equations with mixed derivatives [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 The system of nonlinear hyperbolic equations with mixed derivatives is considered on the strip. Time variable of the unknown function changes on the whole axis, and the spatial variable belongs to a finite interval.
D.S. Dzhumabaev, S.M. Temesheva
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Dirichlet problem of nonlinear second order partial differential equations resolved with any derivatives [PDF]
, 2023 45 ...
Wang, Jianfeng
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Partial quasianalyticity of distribution solutions to weakly nonlinear differential equations with weights assigned to derivatives [PDF]
Mathematical Notes, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyễn Minh Trí, Shananin N.A.
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Numerical Solutions for the Time and Space Fractional Nonlinear Partial Differential Equations [PDF]
Journal of Applied Mathematics, 2013 We implement relatively analytical techniques, the homotopy perturbation method, and variational iteration method to find the approximate solutions for time and space fractional Benjamin-Bona Mahony equation. The fractional derivatives are described in
Khaled A. Gepreel +2 more
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An efficient new iterative method for finding exact solutions of nonlinear time-fractional partial differential equations [PDF]
Nonlinear Analysis, 2011 In this paper, a new iterative method (NIM) is used to obtain the exact solutions of some nonlinear time-fractional partial differential equations. The fractional derivatives are described in the Caputo sense. The method provides a convergent series with
Hüseyin Koçak, Ahmet Yıldırım
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Fractal and Fractional, 2022 A nonlocal boundary value problem for a couple of two scalar nonlinear differential equations with several generalized proportional Caputo fractional derivatives and a delay is studied.
Ravi P. Agarwal, Snezhana Hristova
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