Mathematical Modelling and Computations for Fractional-Order Systems

Authors

Prof. Dr. Muhammad Aslam Noor

Department Mathematics, COMSATS University Islamabad, Islamabad, Pakistan.

Prof. Dr. Muhammad Abbas

Department of Mathematics, University of Sargodha, Sargodha, Pakistan.

Prof. Dr. Qammar Rubbab

Department of Mathematics, The Women University Multan, Punjab 60000, Pakistan.

Dr. Mohsan Raza

Department of Mathematics, Government College University, Faisalabad, Pakistan.

Dr. Muhammad Imran

Department of Mathematics, Government College University, Faisalabad, Pakistan.

Dr. Muhammad Ahsan Binyamin

Department of Mathematics, Government College University, Faisalabad, Pakistan.

Dr. Awais Gul Khan

Department of Mathematics, Government College University, Faisalabad, Pakistan.

Dr. Khadija Tul Kubra

Department of Mathematics, Government College University, Faisalabad, Pakistan.

Dr. Muhammad Uzair Awan

Department of Mathematics, Government College University, Faisalabad, Pakistan.

Dr. Madiha Ghamkhar

Department of Mathematics and Statistics, University of Agriculture, Faisalabad, Pakistan.

Mr. Ehsan Ullah

Department of Mathematics and Statistics, University of Agriculture, Faisalabad, Pakistan.

Dr. Naveed Hussain

Department of Mathematics and Statistics, University of Agriculture, Faisalabad, Pakistan.

Dr. Ghulam Farid

Department of Mathematics and Statistics, University of Agriculture, Faisalabad, Pakistan.

Dr. Hamood Ur Rehman

Department of Mathematics, University of Okara, Okara, Pakistan.

Dr. Shahla Faisal

Department of Statistics, Government College University, Faisalabad, Pakistan.

Dr. Madeeha Tahir

Department of Mathematics, Government College Women University, Faisalabad, Pakistan.

Mr. Rooh Ali

Department of Mathematics, Government College University, Faisalabad, Pakistan.

Mr. Muhammad Zakria Javed

Department of Mathematics, Government College University, Faisalabad, Pakistan.

Ms. Samra Gulshan

Department of Mathematics, Government College University, Faisalabad, Pakistan.

Mr. Usman Khalid:

Department of Mathematics, Government College University, Faisalabad, Pakistan.

Ms. Ifrah Iqbal

Department of Mathematics, University of Okara, Okara, Pakistan.

Mr. Usama Asif

Department of Mathematics, Government College University, Faisalabad, Pakistan.

Ms. Naila Javed

Department of Mathematics, Government College University, Faisalabad, Pakistan.

Mr. Rehmatullah Madni

Department of Mathematics, Government College University, Faisalabad, Pakistan.

Editors:

Dr. Muhammad Imran

Government College University, Faisalabad, Pakistan

drmimranchaudhry@gcuf.edu.pk

Prof. Dr. Saima Akram

Government College Women University, Faisalabad, Pakistan

saimaakram@gcwuf.edu.pk

Dr. Madeeha Tahir

Government College Women University, Faisalabad, Pakistan

madeehatahir@gcwuf.edu.pk

Mr. Rooh Ali

Government College University, Faisalabad, Pakistan

roohali@gcuf.edu.pk

Pages: 1-216

Publication Date: 20 December 2024

ISBN: 978-627-7623-04-3

Preface

In the past decade, fractional calculus has gain the interest of researchers because of its practical applications in various scientific and engineering fields such as fluid dynamics, bioengineering, heat transfer, and fuzzy analysis. Modelling dynamical problems using fractional order differential equations serves as the foundation for various systems, and solving these systems is a challenge. It should be noted that understanding the behaviour of physical systems also involves considering various aspects of fractional order modelling, such as singular/non-singular kernels, which may involve deterministic or uncertain scenarios like fuzzy, interval, or stochastic. Therefore, the objective of this book is to incorporate computation and modelling to achieve precise and/or numerical solutions for fractional order systems.

Lahore, Pakistan

December. 2024