Forthcoming and Online First Articles

International Journal of Applied Nonlinear Science

International Journal of Applied Nonlinear Science (IJANS)

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International Journal of Applied Nonlinear Science (4 papers in press)

Regular Issues

  • Generalisation of Ostrowskis type inequalities by using multi-step quadratic kernel   Order a copy of this article
    by Tasawar Abbas, Muhammad Mohsen Saleem Kamboh, Muhammad Sultan, Hafiz Muhammad Waseem Anwar, Ather Qayyum 
    Abstract: The purpose of this paper is to provide a better version of Ostrowskis type integral inequalities. The inequalities are obtained by using a newly developed special type of nine-step quadratic kernel. The introduction of this new kernel gives some new error bounds for various quadrature rules. Applications for composite quadrature rules are also considered.
    Keywords: Ostrowski inequality; numerical integration; composite quadrature rule; cumulative distributive function.
    DOI: 10.1504/IJANS.2023.10054502
  • A study of COVID-19 spread through zipper fractal interpolation   Order a copy of this article
    by Sneha ., Kuldip Katiyar 
    Abstract: This note aims to study a reconstruction model of pandemic curves based on fractal interpolation function point of view. The weekly confirmed positive cases starting from October 1, 2021 to April 14, 2022 of the ten countries, the UK, India, South Africa, Brazil, France, Netherlands, Australia, Italy, Belgium, and Israel has been studied by using the fractal techniques. The fractal interpolation scheme used in this paper, called zipper fractal interpolation function (ZFIF) is based on concept of zipper functions. The embedding of zipper function in fractal interpolation provides more flexibility and versatility to analyse the pandemic curves. The ZFIFs are then tested for a case study of above-mentioned countries and obtain many interesting results.
    Keywords: COVID-19; pandemic curve; zipper; fractal interpolation function; FIF; zipper FIF.
    DOI: 10.1504/IJANS.2022.10054640
  • Design of an optimal step-by-step sliding mode observer for multiple fractional-order chaotic synchronisation with an application to secure communication   Order a copy of this article
    by Mahdi Abdelghani Atoussi, Slami Saadi, Bachir Nail 
    Abstract: The aim of this study is to achieve the best synchronisation in a secure communication scheme by using two fractional-order chaotic systems (FOCS), one for the transmitter and the other for the receiver. This synchronisation is done with the assistance of the step-by-step sliding mode observer (SBS-SMO). To improve the observers performance, a novel optimisation algorithm called the artificial hummingbird algorithm (AHA) had been used, which leads to selecting the best parameters for the observer instead of selecting them randomly. The proposed scheme succeeded in recovering the secret message that could be (signal, voice, etc.) in the receiver section in a finite period of time.
    Keywords: fractional-order systems; secure communication; Chua’s systems; synchronisation; chaotic systems; artificial hummingbird algorithm; AHA.
    DOI: 10.1504/IJANS.2023.10056188
  • Some results on generalised Euler-type integrals related to the k-Wright function   Order a copy of this article
    by Muhammad Asif, Adnan Khan, Ali Akgül, Biniyam Shimelis 
    Abstract: Special functions such that Zeta, Bessel, Whittaker, Struve, Airy, Weber-Hermite and k-Wright functions are obtained as a solution to complex differential equations in engineering. In this work, generalised Euler-type integrals involving k-Wright function are suggested. Some special cases of this type of generalised integrals that are corresponding to well-known results in the literature are also inferred. We also study extended beta and associated functions (Gauss hypergeometric and confluent hypergeometric functions) connected to k-Wright function. For the newly extended beta, Gauss hypergeometric and confluent hypergeometric functions.
    Keywords: Beta functions; Euler-type function; Gamma function; k-Wright function.
    DOI: 10.1504/IJANS.2023.10056451