Results 11 to 20 of about 3,864,910 (288)
Fractal and Fractional, 2022 In this paper, the nonlinear system of local fractional partial differential equations is solved via local fractional Elzaki transform decomposition method.
Halil Anac
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Mathematics, 2019 In the present article, fractional-order partial differential equations with proportional delay, including generalized Burger equations with proportional delay are solved by using Natural transform decomposition method.
Rasool Shah +4 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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Fractional partial differential equations with boundary conditions
Journal of Differential Equations, 2018 We identify the stochastic processes associated with one-sided fractional partial differential equations on a bounded domain with various boundary conditions. This is essential for modelling using spatial fractional derivatives. We show well-posedness of the associated Cauchy problems in $C_0(Ω)$ and $L_1(Ω)$.
Boris Baeumer +2 more
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Innovative Aboodh-based gractional analytical methods for nonlinear Burgers’ partial differential equations [PDF]
Scientific ReportsThis paper explores advanced analytical techniques for solving Burgers’ fractional partial differential equations (PDEs). We focus on the application of two innovative methods: the Aboodh transform iteration method (ATIM) and the Aboodh residual power ...
Naveed Iqbal +6 more
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A New Approach for Solving Fractional Partial Differential Equations [PDF]
Journal of Applied Mathematics, 2013 We propose a new approach for solving fractional partial differential equations based on a nonlinear fractional complex transformation and the general Riccati equation and apply it to solve the nonlinear time fractional biological population model and ...
Fanwei Meng
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Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
, 1983 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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Results in Physics, 2023 This paper presents a modified version of the generalized Kudryashov method aimed at obtaining exact solutions for fractional partial differential equations of Schrödinger type.
Fushun Liu, Yuqiang Feng
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Partial Differential Equations in Applied Mathematics, 2022 In this paper, the invariant subspace method (ISM) is developed to obtain the exact solution of linear and nonlinear time and space fractional mixed partial differential equations involving modified conformable fractional derivative (MCFD). Moreover, the
Chavda Divyesh Vinodbhai, Shruti Dubey
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Fractional Calculus and Time-Fractional Differential Equations: Revisit and Construction of a Theory
Mathematics, 2022 For fractional derivatives and time-fractional differential equations, we construct a framework on the basis of operator theory in fractional Sobolev spaces.
Masahiro Yamamoto
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