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Numerical solution of multi-dimensional time-fractional diffusion problems using an integral approach. [PDF]

PLoS One
Nadeem M, Jabeen S, Alotaibi FM, Alsayaad Y.   +3 more
europepmc   +1 more source

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Relative Homotopy

Journal of the London Mathematical Society, 1991
The object of the paper is to clarify the connections between relative homotopy and free homotopy. The main point is to indicate how relative homotopy can be calculated from free homotopy where free homotopy is allowed to include information about certain homotopy diagram-categories.
openaire   +1 more source

Homotopy Groups and Torus Homotopy Groups

The Annals of Mathematics, 1948
In recent years it has been found that the homotopy groups [9] can be made into a more powerful tool by the introduction of new operations. Two such have been defined and utilized: (i) every element of the fundamental group 7r, induces an automorphism of the n-dimensional homotopy group 7rX, so that 7rn becomes a group with operators; (ii) to every ...
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Homotopy Perturbation Method for the Fractal Toda Oscillator

Fractal and Fractional, 2021
Ji-Huan He, Yusry O El-Dib
exaly  

HOMOTOPY RINGOIDS AND HOMOTOPY GROUPS

The Quarterly Journal of Mathematics, 1954
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A heuristic review on the homotopy perturbation method for non-conservative oscillators

Journal of Low Frequency Noise Vibration and Active Control, 2022
Chun-Hui He, Yusry O El-Dib
exaly  

An optimal homotopy-analysis approach for strongly nonlinear differential equations

Communications in Nonlinear Science and Numerical Simulation, 2010
Shijun Liao
exaly  

Application of homotopy perturbation method to nonlinear wave equations

Chaos, Solitons and Fractals, 2005
Ji-Huan He
exaly  

Notes on the homotopy analysis method: Some definitions and theorems

Communications in Nonlinear Science and Numerical Simulation, 2009
Shijun Liao
exaly  

On the homotopy analysis method for nonlinear problems

Applied Mathematics and Computation, 2004
Shijun Liao
exaly