Solutions of Fractional Verhulst Model by Modified Analytical and Numerical Approaches

In this chapter, we are interested in the fractional release of the Verhulst model according to Caputo’s sense, which is popular in applying environmental, biological, chemical and social studies describing the population growth model. Such a model, which

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Dia Zeidan Seshadev Padhi Aliaa Burqan Peer Ueberholz   Editors

Computational Mathematics and Applications

Forum for Interdisciplinary Mathematics Editors-in-Chief Viswanath Ramakrishna, University of Texas, Texas, USA Zhonghai Ding, University of Nevada, Las Vegas, USA Editorial Board Ravindra B. Bapat, Indian Statistical Institute, Delhi, India Balasubramaniam Jayaram, Indian Institute of Technology Hyderabad, India Ashis Sengupta, Indian Statistical Institute, Kolkata, India Bhu Dev Sharma, Jaypee Institute of Information Technology, Noida, India P. V. Subrahmanyam, Indian Institute of Technology Madras, India

The Forum for Interdisciplinary Mathematics is a Scopus-indexed book series. It publishes high-quality textbooks, monographs, contributed volumes and lecture notes in mathematics and interdisciplinary areas where mathematics plays a fundamental role, such as statistics, operations research, computer science, financial mathematics, industrial mathematics, and bio-mathematics. It reflects the increasing demand of researchers working at the interface between mathematics and other scientific disciplines.

More information about this series at http://www.springer.com/series/13386

Dia Zeidan · Seshadev Padhi · Aliaa Burqan · Peer Ueberholz Editors

Computational Mathematics and Applications

Editors Dia Zeidan School of Basic Sciences and Humanities German Jordanian University Amman, Jordan Aliaa Burqan Department of Mathematics Zarqa University Zarqa, Jordan

Seshadev Padhi Department of Mathematics Birla Institute of Technology Mesra, Ranchi, Jharkhand, India Peer Ueberholz Institut für Modellbildung und Hochleistungsrechnen Hochschule Niederrhein Krefeld, Germany

ISSN 2364-6748 ISSN 2364-6756 (electronic) Forum for Interdisciplinary Mathematics ISBN 978-981-15-8497-8 ISBN 978-981-15-8498-5 (eBook) https://doi.org/10.1007/978-981-15-8498-5 © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2020 This work is subject to copyright. All rights are solely and exclusively licensed by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material conta