Aims and scope

Applied Mathematics in Science and Engineering (AMSE) is an international research journal which publishes top-level work from all areas of mathematical methods including their applications to different fields such as biology, medicine, finance, economics, computer science, physics, and engineering.

Topics covered include, but are not limited to, the following fields:

    differential equations (e.g., ordinary, partial, impulsive, fractional, delay, functional)
    difference equations, dynamic equations, dynamical systems,
    integral equations,
    control and optimization,
    inverse problems,
    scientific computing and numerical analysis,
    computational mathematics and data science.

Submitted papers must be correct and well written, containing new, original, and nontrivial results.

AMSE actively encourages special issues in areas covered by the aim and scope. Please contact the Editor-in-Chief with special issue proposals in the first instance. 

Special Issue on Advancement of Fractional Calculus and Its Application in Applied Sciences
Submission Date: 2024-12-30

Special Issue Editor(s)

Hijaz Ahmad, Near East University, Nicosia, Turkey
hijaz.ahmad@neu.edu.tr

Rashid Jan, Universiti Tenaga Nasional, Selangor, Malaysia
rashidjan@uoswabi.edu.pk

Fractional calculus plays a crucial role in modeling and analyzing complex systems and processes that exhibit memory effects, multiscale behavior, and irregular dynamics. Its applications span across a wide range of fields, including physics, engineering, biology, medicine, environmental sciences, and many other fields of applied sciences.  It is eminent that the theory of fractional calculus offers a powerful mathematical tool for modeling complex phenomena that exhibit memory and crossover behavior. Its applications in electrochemistry, signal processing, image processing, control theory, biomedical engineering, pharmacokinetics, epidemiology, and neuroscience have been recognized. It has become a valuable mathematical tool for understanding and solving problems in various areas of science, engineering, and mathematics.

The objective of this special issue is to create a dedicated platform for exchanging the latest advancements in the theory of fractional calculus and its practical applications in the field of applied sciences. Fractional calculus has been widely researched worldwide for its theoretical and analytical applications in different research areas. This special issue focuses on recent contributions in this interdisciplinary field, encompassing theoretical, analytical, numerical, and computational studies. It also covers the latest developments in mathematical modeling, analytic analysis, and theoretical investigations that can be applied to understand real-world problems. Through this special issue, cutting-edge research in the field of fractional calculus and its potential applications in applied sciences will be presented, providing insights into the current state of the field and its potential impact in advancing our understanding of natural phenomena.

We welcome authors to submit high-quality research articles for our call for submissions, covering a diverse range of captivating research areas. This includes the evaluation of novel fractional definitions, investigation of fractional differential systems, theoretical analysis, numerical techniques, and their applications in the field of applied sciences. It's important to note that the scope of this special issue extends beyond these areas and encompasses a broad range of topics, providing a comprehensive platform for researchers to share their cutting-edge work in the field of fractional calculus and its applications in applied sciences:

    Advancement of fractional calculus;
    New concepts in fractional theory;
    Fractional differential equations;
    Application of fractional control theory;
    Chaos and bifurcation in fractional systems;
    New numerical methods for fractional system;
    Applications in biology and health sciences;
    Analytic approaches in fractional-calculus;
    Computational analysis of natural systems;
    Biomedical application of fractional calculus;
    Signal processing and image processing;
    Optimization and control theory;
    Fractional molecular and cellular dynamics;
    Theoretical analysis of natural systems;
    Applications of meshless methods in fractional-calculus;

Guest Editors:

Dr. Hijaz Ahmad
Operational Research Center in Healthcare, Near East University, Nicosia, Turkey
International Telematic University Uninettuno, Roma, Italy
Google Scholar Citations: https://scholar.google.com/citations?user=JjwnbsoAAAAJ&hl=en
Web of Science ID:    ​https://www.webofscience.com/wos/author/record/H-5958-2018
Research Gate:   https://www.researchgate.net/profile/Hijaz_Ahmad
Email: hijaz555@gmail.com; hijaz.ahmad@neu.edu.tr; ahmad.hijaz@uninettuno.it

Dr. Rashid Jan
University of Swabi, KP, Pakistan
Email: rashidjan@uoswabi.edu.pk

Dr. Imtiaz Ahmad
Institute of Informatics and Computing in Energy (IICE), Universiti Tenaga Nasional, Selangor, Malaysia
Email: imtiazkakakhil@gmail.com