Acta Appl Math https://doi.org/10.1007/s10440-018-0171-4 1,2 3 M.M. Khader · M. Adel Received: 10 November 2017 / Accepted: 26 February 2018 © Springer Science+Business Media B.V., part of Springer Nature 2018 Abstract We apply the operational matrices of fractional integration for Chebyshev wavelets for solving the fractional (Caputo form) Logistic differential equation (FLDE). We introduce a study of the convergence analysis and error estimation of the obtained ap- proximation solution. The FLDE is reduced to a system of algebraic equations with the help of the properties of wavelets polynomials. The numerical results conﬁrm the theoretical re- sults and the efﬁciency of the proposed procedure. A numerical simulation and a comparison with the previous work are presented. The proposed method can be applied to solve other problems in engineering and physics. Keywords Fractional LDE · Chebyshev wavelets · Convergence analysis Mathematics Subject Classiﬁcation (2010) 41A30 · 65N12 1 Introduction Fractional differential equations (FDEs) have been the focus of many studies due to their fre- quent appearance in various applications in ﬂuid mechanics, viscoelasticity, biology, physics and engineering. Consequently, considerable attention has been given to the solutions of FDEs. Since the exact solutions of these equations are not known so approximate and
Acta Applicandae Mathematicae – Springer Journals
Published: Mar 16, 2018
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.
Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.
All the latest content is available, no embargo periods.
“Hi guys, I cannot tell you how much I love this resource. Incredible. I really believe you've hit the nail on the head with this site in regards to solving the research-purchase issue.”Daniel C.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud
“I must say, @deepdyve is a fabulous solution to the independent researcher's problem of #access to #information.”@deepthiw
“My last article couldn't be possible without the platform @deepdyve that makes journal papers cheaper.”@JoseServera