Results 41 to 50 of about 282,533 (318)
Homotopy Analysis Method for Three Types of Fractional Partial Differential Equations
Complexity, 2020 In this paper, three types of fractional order partial differential equations, including the fractional Cauchy–Riemann equation, fractional acoustic wave equation, and two-dimensional space partial differential equation with time-fractional-order, are ...
Haidong Qu, Zihang She, Xuan Liu
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Coupled systems of fractional equations related to sound propagation: analysis and discussion [PDF]
, 2012 In this note we analyse the propagation of a small density perturbation in a one-dimensional compressible fluid by means of fractional calculus modelling, replacing thus the ordinary time derivative with the Caputo fractional derivative in the ...
Diethelm K. +6 more
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Ain Shams Engineering Journal, 2014 In this paper, the fractional partial differential equations are defined by modified Riemann–Liouville fractional derivative. With the help of fractional derivative and traveling wave transformation, these equations can be converted into the nonlinear ...
Ahmet Bekir, Özkan Güner
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A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations
The Scientific World Journal, 2014 We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations.
Özkan Güner, Adem C. Cevikel
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Journal of Taibah University for Science, 2022 In this study, the extended tanh-function method has been used to find further general travelling wave solutions for space-time fractional nonlinear partial differential equations, namely, the time fractional nonlinear Sine-Gordon equation and Klein ...
Umme Sadiya +3 more
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Generalised Fractional Evolution Equations of Caputo Type [PDF]
, 2017 This paper is devoted to the study of generalised time-fractional evolution equations involving Caputo type derivatives. Using analytical methods and probabilistic arguments we obtain well-posedness results and stochastic representations for the ...
Hernández-Hernández, M. E. +2 more
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Converting fractional differential equations into partial differential equations
Thermal Science, 2012 A transform is suggested in this paper to convert fractional differential equations with the modified Riemann-Liouville derivative into partial differential equations, and it is concluded that the fractional order in fractional differential equations is equivalent to the fractal dimension.
Ji-Huan He, Zheng-Biao Li
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Efficient Approaches for Solving Systems of Nonlinear Time-Fractional Partial Differential Equations
Fractal and Fractional, 2022 In this work, we present a modified generalized Mittag–Leffler function method (MGMLFM) and Laplace Adomian decomposition method (LADM) to get an analytic-approximate solution for nonlinear systems of partial differential equations (PDEs) of fractional ...
H. Ali +3 more
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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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An Efficient Technique of Fractional-Order Physical Models Involving ρ-Laplace Transform
Mathematics, 2022 In this article, the ρ-Laplace transform is paired with a new iterative method to create a new hybrid methodology known as the new iterative transform method (NITM).
Nehad Ali Shah +3 more
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