Fractional sub-equation method and its applications to nonlinear fractional PDEs

S Zhang, HQ Zhang - Physics Letters A, 2011 - Elsevier
A fractional sub-equation method is proposed to solve fractional differential equations. To
illustrate the effectiveness of the method, the nonlinear time fractional biological population …

[HTML][HTML] The first integral method for some time fractional differential equations

B Lu - Journal of Mathematical Analysis and Applications, 2012 - Elsevier
In this paper, the fractional derivatives in the sense of modified Riemann–Liouville derivative
and the first integral method are employed for constructing the exact solutions of nonlinear …

Genetic selection for wool quality.

S Jafari - CABI Reviews, 2015 - cabidigitallibrary.org
This paper reviews the feasibility of genetic selection for wool quality. More than 30 papers
were studied in the present investigation. The traits which have been considered in the …

Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus

JH He, SK Elagan, ZB Li - Physics letters A, 2012 - Elsevier
The fractional complex transform is suggested to convert a fractional differential equation
with Jumarieʼs modification of Riemann–Liouville derivative into its classical differential …

Fractional calculus for nanoscale flow and heat transfer

HY Liu, JH He, ZB Li - International Journal of Numerical Methods for …, 2014 - emerald.com
Purpose–Academic and industrial researches on nanoscale flows and heat transfers are an
area of increasing global interest, where fascinating phenomena are always observed, eg …

Fractional view analysis of Kuramoto–Sivashinsky equations with non-singular kernel operators

A Saad Alshehry, M Imran, A Khan, R Shah, W Weera - Symmetry, 2022 - mdpi.com
In this article, we investigate the nonlinear model describing the various physical and
chemical phenomena named the Kuramoto–Sivashinsky equation. We implemented the …

[HTML][HTML] Homotopy perturbation transform method for nonlinear equations using He's polynomials

Y Khan, Q Wu - Computers & Mathematics with Applications, 2011 - Elsevier
In this paper, a combined form of the Laplace transform method with the homotopy
perturbation method is proposed to solve nonlinear equations. This method is called the …

[PDF][PDF] Fractal heat conduction problem solved by local fractional variation iteration method

XJ Yang, D Baleanu - 2013 - earsiv.cankaya.edu.tr
FRACTAL HEAT CONDUCTION PROBLEM SOLVED BY LOCAL FRACTIONAL VARIATION
ITERATION METHOD Page 1 Open forum FRACTAL HEAT CONDUCTION PROBLEM SOLVED …

The improved fractional sub-equation method and its applications to the space–time fractional differential equations in fluid mechanics

S Guo, L Mei, Y Li, Y Sun - Physics Letters A, 2012 - Elsevier
By introducing a new general ansätz, the improved fractional sub-equation method is
proposed to construct analytical solutions of nonlinear evolution equations involving …

(G′/G)-expansion method for solving fractional partial differential equations in the theory of mathematical physics

B Zheng - Communications in Theoretical Physics, 2012 - iopscience.iop.org
In this paper, the (G'/G)-expansion method is extended to solve fractional partial differential
equations in the sense of modified Riemann—Liouville derivative. Based on a nonlinear …