The fractional complex transform is used to analytically deal with fractional differential equations. Two examples...

papers published in IJNSNS

A physical law in continuous space-time is, in general, expressible by a variational principle. Physical...

This paper proposes three standard variational iteration algorithms for solving differential equations, integro-differential equations, fractional...

This paper is an elementary introduction to the concepts of the homotopy perturbation method. Particular...

An extremely simple and elementary, but rigorous derivation of temperature distribution of a reaction-diffusion process...

An allometric scaling law is established for explaining sleep time per day which scales with...

A new resistance formulation for carbon nanotubes is suggested using fractal approach. The new formulation...

This review is an elementary introduction to the concepts of the recently developed asymptotic methods...

A brief introduction to amplitude-frequency formulae for nonlinear oscillators is given, an improved one is...

Spider-spun fiber is of extraordinary strength and toughness comparable to those of electrospun fiber, the...

Geng and Cai suggested a modified He’s frequency–amplitude formulation for nonlinear oscillators (Geng and Cai...

Abstract BACKGROUND: Electrospinning is a powerful and effective method to produce nanofibers. Beads have been...

Abstract: An allometrical scaling relationship between the diameter of electrospun nanofiber and solution concentration is...

Some new exact solutions are obtained for the nonlinear dispersive K(m, n) equations using the...

Why do more complex viruses (e.g., HIV, AIDS-virus and SARS coronavirus) tend to be more...

A new generalized solitary solution of the Jaulent–Miodek equations is obtained using the Exp-function method....

Scosati studied experimentally length-biomass allometry in primary producers (vascular plants and unicellular microalgae), and found...

Wool fiber shows excellent advantages in warmth-retaining and many other practical properties possibly due to...

This paper suggests a novel method called max-min method. Maximal and minimal solution thresholds of...

A possible mechanism in the spider-spinning process is illustrated and a nanobubble dynamical model is...

Abstract BACKGROUND: Electrospinning is widely used to produce nanofibers; however, not every polymer can be...

The parameter-expansion method is applied to a nonlinear oscillator with discontinuity. One iteration is sufficient...

The homotopy perturbation method is extremely accessible to non-mathematicians and engineers. The method decomposes a...

The parameter-expanding method is applied to a strongly nonlinear oscillator. The obtained frequency is of...

A new bottom-up gas-jet electrospinning process for mass production is presented. A bubble-induced cone on...

E-Infinity theory predicts nine more elementary particles to be discovered in a standard model including...

Electrospinning is a simple but powerful method for making nanofibers that can then be collected...

Similar to the nuclear age, the so-called nanoage is coming, the growing gap between nano...

Abstract: A brief review of mathematical models of electrospinning is given. The nano-effect and electrospinning...

Abstract In this paper, the Exp-function method is used for seeking solitary solutions, periodic solutions,...

We give the exact geometrical shape and study the combinatorial properties of higher dimensional polytopes...

We propose a novel variational approach for limit cycles of a kind of nonlinear oscillators....

This paper is an elementary introduction to the concepts of variational iteration method. First, the...

Variational iteration method has been favourably applied to various kinds of nonlinear problems. The main...

A modified Hodgkin–Huxley model is suggested by taking into account the size effect of ionic...

Albert Einstein combined continuous space and time into his special relativity, El-Naschie discovered the transfinite...

Albert Einstein combined continuous space and time into his special relativity, El-Naschie discovered the transfinite...

In this paper, a new method, called Exp-function method, is proposed to seek solitary solutions,...

The present work constitutes a guided tour through the mathematics needed for a proper understanding...

This paper features a survey of some recent developments in asymptotic techniques, which are valid...

The regulation of scale and bifurcation-like instability in electrospinning are intriguing and enduring problems after...

In this paper, a coupling method of a homotopy technique and a perturbation technique is...

In this paper, a new and more exact model for seepage flow in porous media...

This Update covers all aspects of electrospinning as used to produce Nanofibres. It contains an...

Glossary Soliton A soliton is a nonlinear pulse-like wave that can exist in some nonlinear...

Article Outline Glossary Definition of the Subject Introduction Solitons Compactons Generalized Solitons and Compacton-like Solutions...

The 3rd International Symposium on Nonlinear Dynamics will be held on Sept. 25-28, 2010,Shanghai ,...

According to a recent analysis of Essential Science Indicators from Thomson Scientific, Professor Ji-Huan He...