Results 1 to 10 of about 3,658,718 (281)
Technique to Solve Linear Fractional Differential Equations Using B-Polynomials Bases
Fractal and Fractional, 2021 A multidimensional, modified, fractional-order B-polys technique was implemented for finding solutions of linear fractional-order partial differential equations. To calculate the results of the linear Fractional Partial Differential Equations (FPDE), the
Muhammad I. Bhatti, Md. Habibur Rahman
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On approximation for fractional stochastic partial differential equations on the sphere [PDF]
Stochastic Environmental Research and Risk Assessment, 2018 28 pages, 7 ...
Anh, VV +3 more
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Mathematical modelling of unsteady fractional Phan Thien Tanner fluid
Alexandria Engineering Journal, 2020 The fractional calculus approach in the constitutive relationship model of viscoelastic fluid is introduced. For the first time, unsteady fractional Phan Thien Tanner fluid is modeled, which results in different space-time nonlinear fractional partial ...
Naeem Faraz, Yasir Khan, Amna Anjum
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Advances in Mechanical Engineering, 2016 The fractional reaction diffusion equation is one of the popularly used fractional partial differential equations in recent years. The fast Adomian decomposition method is used to obtain the solution of the Cauchy problem.
Xiang-Chao Shi, Lan-Lan Huang, Yi Zeng
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Partial Differential Equations in Applied Mathematics, 2023 Many applications and natural phenomena in the fields of physics and engineering are described by ordinary and partial differential equations. Therefore, obtaining solutions to these equations helps to analyze and understand the dynamics of these systems,
Marwan Alquran
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Complexity, 2022 In this work, we proposed a new method called conformable fractional double Laplace–Sumudu transform decomposition method (CFDLSTDM) to solve fractional partial differential equations (FPDEs).This method is a combination of the Laplace–Sumudu transform ...
Jia Honggang, Zhao Yanmin
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New Fractional Complex Transform for Conformable Fractional Partial Differential Equations [PDF]
Journal of Applied Mathematics, Statistics and Informatics, 2016 Abstract Conformable fractional complex transform is introduced in this paper for converting fractional partial differential equations to ordinary differential equations. Hence analytical methods in advanced calculus can be used to solve these equations.
Cenesiz, Y., Kurt, A.
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International Journal of Analysis and Applications, 2019 The idea proposed in this work is to extend the ZZ transform method to resolve the nonlinear fractional partial differential equations by combining them with the so-called homotopy perturbation method (HPM).
Lakhdar Riabi +3 more
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Effective Method for Solving Different Types of Nonlinear Fractional Burgers’ Equations
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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Vector Additive Decomposition for 2D Fractional Diffusion Equation
Nonlinear Analysis, 2008 Such physical processes as the diffusion in the environments with fractal geometry and the particles’ subdiffusion lead to the initial value problems for the nonlocal fractional order partial differential equations. These equations are the generalization
N. Abrashina-Zhadaeva, N. Romanova
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