Results 101 to 110 of about 11,783 (202)

Initial time difference quasilinearization for Caputo Fractional Differential Equations [PDF]

Advances in Difference Equations, 2012
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Numerical solution of fractional-order Riccati differential equation by differential quadrature method based on Chebyshev polynomials

Advances in Difference Equations, 2017
We apply the Chebyshev polynomial-based differential quadrature method to the solution of a fractional-order Riccati differential equation. The fractional derivative is described in the Caputo sense.
Jianhua Hou, Changqing Yang
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The General Solution of Differential Equations with Caputo-Hadamard Fractional Derivatives and Noninstantaneous Impulses

Advances in Mathematical Physics, 2017
Based on some recent works about the general solution of fractional differential equations with instantaneous impulses, a Caputo-Hadamard fractional differential equation with noninstantaneous impulses is studied in this paper.
Xianzhen Zhang, Zuohua Liu, Hui Peng, Xianmin Zhang, Shiyong Yang   +4 more
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Numerical simulations of anomalous diffusion

, 2003
In this paper we present numerical methods - finite differences and finite elements - for solution of partial differential equation of fractional order in time for one-dimensional space.
Ciesielski, Mariusz, Leszczynski, Jacek
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On the comparison of perturbation-iteration algorithm and residual power series method to solve fractional Zakharov-Kuznetsov equation

Results in Physics, 2018
In this paper, we present analytic-approximate solution of time-fractional Zakharov-Kuznetsov equation. This model demonstrates the behavior of weakly nonlinear ion acoustic waves in a plasma bearing cold ions and hot isothermal electrons in the presence
Mehmet Şenol, Marwan Alquran, Hamed Daei Kasmaei   +2 more
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Stability of nonlinear Caputo fractional differential equations

Applied Mathematical Modelling, 2016
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Liu, Kewei, Jiang, Wei
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Higher order multi-term time-fractional partial differential equations involving Caputo-Fabrizio derivative

Electronic Journal of Differential Equations, 2017
In this work we discuss higher order multi-term partial differential equation (PDE) with the Caputo-Fabrizio fractional derivative in time. Using method of separation of variables, we reduce fractional order partial differential equation to the ...
Erkinjon Karimov, Sardor Pirnafasov
doaj  

Numerical Solutions for the Time and Space Fractional Nonlinear Partial Differential Equations

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, Taher A. Nofal, Fawziah M. Alotaibi   +2 more
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Existence and stability of solutions for Caputo fractional differential equation through Bielecki metric

Miskolc Mathematical Notes
In this paper, we have shown that, by considering the Caputo fractional differential equation and Bielecki norm, the existence and uniqueness of solution for Cauchy problem is established using Banach fixed point theorem and further demonstrate the ...
Zhuohao Li, Kui Liu
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Similarity Solutions for Multiterm Time-Fractional Diffusion Equation

Advances in Mathematical Physics, 2016
Similarity method is employed to solve multiterm time-fractional diffusion equation. The orders of the fractional derivatives belong to the interval (0,1] and are defined in the Caputo sense.
A. Elsaid, M. S. Abdel Latif, M. Maneea
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