TAYLOR SERIES SOLUTION FOR FRACTAL BRATU-TYPE EQUATION ARISING IN ELECTROSPINNING PROCESS

Electrospinning is a complex process, and it can be modeled by a Bratu-type equation with fractal derivatives by taking into account the solvent evaporation. Though there are many analytical method...

[1]  Ji-Huan He,et al.  A Rachford-Rice like equation for solvent evaporation in the bubble electrospinning , 2018 .

[2]  Qian Guo,et al.  Thermo-electro-hydrodynamic model for electrospinning process , 2004 .

[3]  Yanhua Song,et al.  Fabrication and characterization of magnetic nanocomposites by electric fields assisted electrospinning , 2019, Thermal Science.

[4]  Ji-Huan He,et al.  Fractal calculus and its geometrical explanation , 2018, Results in Physics.

[5]  KANG-LE WANG,et al.  A REMARK ON WANG’S FRACTAL VARIATIONAL PRINCIPLE , 2019 .

[6]  H. Liu,et al.  A Short Remark on WAN Model for Electrospinning and Bubble Electrospinning and Its Development , 2015 .

[8]  Ji-Huan He,et al.  Two-scale mathematics and fractional calculus for thermodynamics , 2019, Thermal Science.

[9]  Ji-Huan He,et al.  Macromolecular electrospinning: Basic concept & preliminary experiment , 2018, Results in Physics.

[10]  Ji-Huan He.  The simpler, the better: Analytical methods for nonlinear oscillators and fractional oscillators , 2019, Journal of Low Frequency Noise, Vibration and Active Control.

[11]  Ji-Huan He,et al.  Wetting and supercontraction properties of spider-based nanofibers , 2019, Thermal Science.

[12]  Ji-Huan He.  SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS , 2006 .

[13]  Chun-hui He.  An introduction to an ancient Chinese algorithm and its modification , 2016 .

[14]  Sea-silk based nanofibers and their diameter prediction , 2019, Thermal Science.

[15]  Ji-Huan He,et al.  Solvent evaporation in a binary solvent system for controllable fabrication of porous fibers by electrospinning , 2017 .

[16]  Hongwei Yang,et al.  A fractal rate model for adsorption kinetics at solid/solution interface , 2019, Thermal Science.

[17]  Ji-Huan He,et al.  FRACTAL CALCULUS AND ITS APPLICATION TO EXPLANATION OF BIOMECHANISM OF POLAR BEAR HAIRS , 2018, Fractals.

[18]  Yuqin Wan,et al.  The effect of sonic vibration on electrospun fiber mats , 2018, Journal of Low Frequency Noise, Vibration and Active Control.

[19]  Ji-Huan He,et al.  Fabrication and characterization of ZrO2 nanofibers by critical bubble electrospinning for high-temperature-resistant adsorption and separation , 2019, Adsorption Science & Technology.

[20]  Ji-Huan He,et al.  Laplace transform: Making the variational iteration method easier , 2019, Appl. Math. Lett..

[21]  Ji-Huan He,et al.  Hybridization of homotopy perturbation method and Laplace transformation for the partial differential equations , 2017 .

[22]  Kangkang Wang,et al.  PHYSICAL INSIGHT OF LOCAL FRACTIONAL CALCULUS AND ITS APPLICATION TO FRACTIONAL KDV–BURGERS–KURAMOTO EQUATION , 2019, Fractals.

[23]  Chunfu Wei.  Application of the homotopy perturbation method for solving fractional Lane-Emden type equation , 2019, Thermal Science.

[24]  Ji-Huan He,et al.  Homotopy perturbation method with an auxiliary parameter for nonlinear oscillators , 2018, Journal of Low Frequency Noise, Vibration and Active Control.

[25]  Ji-Huan He,et al.  A fractal modification of the surface coverage model for an electrochemical arsenic sensor , 2019, Electrochimica Acta.

[26]  He’s homotopy perturbation method for solving time fractional Swift-Hohenberg equations , 2018 .

[27]  Ji-Huan He,et al.  Taylor series solution for Lane–Emden equation , 2019, Journal of Mathematical Chemistry.

[28]  Ji-Huan He.  A Tutorial Review on Fractal Spacetime and Fractional Calculus , 2014 .

[29]  Ji-Huan He,et al.  Thermal property of rock powder-based nanofibers for high temperature filtration and adsorption , 2019, Thermal Science.

[30]  Hai-Yan Kong,et al.  Variational iteration method for Bratu-like equation arising in electrospinning. , 2014, Carbohydrate polymers.

[31]  Ji-Huan He,et al.  A variational principle for a thin film equation , 2019, Journal of Mathematical Chemistry.

[32]  Ji-Huan He,et al.  Self-assembly of macromolecules in a long and narrow tube , 2018 .

[33]  Devendra Kumar,et al.  Analytical study of fractional Bratu-type equation arising in electro-spun organic nanofibers elaboration , 2019, Physica A: Statistical Mechanics and its Applications.

[34]  Ji-Huan He,et al.  On two-scale dimension and its applications , 2019, Thermal Science.

[35]  An Jianye,et al.  A VARIATIONAL FORMULATION FOR ANISOTROPIC WAVE TRAVELING IN A POROUS MEDIUM , 2019, Fractals.

[36]  Ji-Huan He.  A simple approach to one-dimensional convection-diffusion equation and its fractional modification for E reaction arising in rotating disk electrodes , 2019 .

[37]  A fractal derivative model for snow’s thermal insulation property , 2019, Thermal Science.

[38]  Yan Wang,et al.  FRACTAL DERIVATIVE MODEL FOR TSUNAMI TRAVELING , 2019, Fractals.

[39]  Ji-Huan He,et al.  He’s multiple scales method for nonlinear vibrations , 2019, Journal of Low Frequency Noise, Vibration and Active Control.

[40]  Ji-Huan He,et al.  Electrospun polysulfone/poly(lactic acid) nanoporous fibrous mats for oil removal from water , 2019, Adsorption Science & Technology.

[41]  P. Ogenyi,et al.  New approach to parameterized homotopy perturbation method , 2018 .

[42]  Ji-Huan He,et al.  Lagrange crisis and generalized variational principle for 3D unsteady flow , 2019, International Journal of Numerical Methods for Heat & Fluid Flow.

[43]  A. Colantoni,et al.  Electro-spun organic nanofibers elaboration process investigations using comparative analytical solutions. , 2014, Carbohydrate polymers.

[44]  Ji-Huan He,et al.  Homotopy perturbation method for nonlinear oscillators with coordinate-dependent mass , 2018, Results in Physics.

[45]  Shaowen Yao,et al.  Numerical method for fractional Zakharov-Kuznetsov equations with He’s fractional derivative , 2019, Thermal Science.

[46]  Ji-Huan He,et al.  Macromolecule Orientation in Nanofibers , 2018, Nanomaterials.

[47]  Ji-Huan He,et al.  Sudden solvent evaporation in bubble electrospinning for fabrication of unsmooth nanofibers , 2017 .