An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering

JH He - International Journal of Modern Physics B, 2008 - World Scientific
This review is an elementary introduction to the concepts of the recently developed
asymptotic methods and new developments. Particular attention is paid throughout the …

Some relatively new techniques for nonlinear problems

ST Mohyud-Din, MA Noor… - Mathematical Problems in …, 2009 - Wiley Online Library
This paper outlines a detailed study of some relatively new techniques which are originated
by He for solving diversified nonlinear problems of physical nature. In particular, we will …

New investigation of bats-hosts-reservoir-people coronavirus model and application to 2019-nCoV system

W Gao, HM Baskonus, L Shi - Advances in Difference Equations, 2020 - Springer
According to the report presented by the World Health Organization, a new member of
viruses, namely, coronavirus, shortly 2019-nCoV, which arised in Wuhan, China, on January …

Fractional conformable stochastic integrodifferential equations: existence, uniqueness, and numerical simulations utilizing the shifted Legendre spectral collocation …

H Badawi, N Shawagfeh… - … Problems in Engineering, 2022 - Wiley Online Library
Theoretical and numerical studies of fractional conformable stochastic integrodifferential
equations are introduced in this study. Herein, to emphasize the solution's existence, we …

The analytical solution of some fractional ordinary differential equations by the Sumudu transform method

H Bulut, HM Baskonus… - Abstract and Applied …, 2013 - Wiley Online Library
We introduce the rudiments of fractional calculus and the consequent applications of the
Sumudu transform on fractional derivatives. Once this connection is firmly established in the …

[HTML][HTML] Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations

Y Nawaz - Computers & Mathematics with Applications, 2011 - Elsevier
In this article, linear and nonlinear boundary value problems for fourth-order fractional
integro-differential equations are solved by variational iteration method and homotopy …

[HTML][HTML] Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method

A Yıldırım - Computers & Mathematics with Applications, 2008 - Elsevier
In this study, the homotopy perturbation method proposed by Ji-Huan He is applied to solve
both linear and nonlinear boundary value problems for fourth-order integro-differential …

[HTML][HTML] An improved method based on Haar wavelets for numerical solution of nonlinear integral and integro-differential equations of first and higher orders

I Aziz, AS Al-Fhaid - Journal of Computational and Applied Mathematics, 2014 - Elsevier
In this paper, a novel technique is being formulated for the numerical solution of integral
equations (IEs) as well as integro-differential equations (IDEs) of first and higher orders. The …

[HTML][HTML] The variational iteration method: a highly promising method for solving the system of integro-differential equations

J Saberi-Nadjafi, M Tamamgar - Computers & Mathematics with …, 2008 - Elsevier
This paper applies He's variational iteration method for solving two systems of Volterra
integro-differential equations. The solution process is illustrated and various physically …

[HTML][HTML] Solution of a model describing biological species living together using the variational iteration method

F Shakeri, M Dehghan - Mathematical and Computer Modelling, 2008 - Elsevier
In this work, a system of two nonlinear integro-differential equations which arises in biology
is considered and the well-known variational iteration method is implemented for finding the …