Special Issue "Recent Advances in Fractional Calculus Applied to Complex Engineering Phenomena"

Submission Deadline: 31 May 2021
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Guest Editors
Prof. Dumitru Baleanu, Cankaya University, Romania.
Dr. Sunil Kumar, National Institute of Technology, India.
Prof. Carlo Cattani, Tuscia University, Italy.
Dr. Carla M. A. Pinto, School of Engineering of the Polytechnic of Porto, Portugal.


In the past few decades, fractional derivatives have been recognized as powerful modelling and simulation tools for mechanical engineering problems. Many physical laws are expressed more accurately in terms of differential equations of arbitrary order.  In this Special Issue, we kindly invite researchers to present their original work in the area of fractional differential equations as models of complex engineering problems. These works may bring new theories, development of numerical methods, and applications. All research articles should fit the scope of the journal Computers, Materials & Continua, and topics of interests include (but are not limited to):

· Mathematical modelling of complex engineering problems using fractional differential


· Artificial intelligence and data analysis within fractional calculus methods and techniques

· Advanced analytical and numerical methods for fractional differential equations

· Real world applications of fractional models in engineering

· Mathematical modeling of engineering fractional dynamic systems

· Computational and numerical methodologies for fractional differential equations with engineering meaning

Fractional dynamics;Fractional modelling of complex engineering problems; Non-local analytical and numerical methods;Artificial intelligence;Data analysis.

Published Papers
  • The Investigation of the Fractional-View Dynamics of Helmholtz Equations Within Caputo Operator
  • Abstract It is eminent that partial differential equations are extensively meaningful in physics, mathematics and engineering. Natural phenomena are formulated with partial differential equations and are solved analytically or numerically to interrogate the system’s dynamical behavior. In the present research, mathematical modeling is extended and the modeling solutions Helmholtz equations are discussed in the fractional view of derivatives. First, the Helmholtz equations are presented in Caputo’s fractional derivative. Then Natural transformation, along with the decomposition method, is used to attain the series form solutions of the suggested problems. For justification of the proposed technique, it is applied to several numerical examples.… More
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  • A New Medical Image Enhancement Algorithm Based on Fractional Calculus
  • Abstract The enhancement of medical images is a challenging research task due to the unforeseeable variation in the quality of the captured images. The captured images may present with low contrast and low visibility, which might influence the accuracy of the diagnosis process. To overcome this problem, this paper presents a new fractional integral entropy (FITE) that estimates the unforeseeable probabilities of image pixels, posing as the main contribution of the paper. The proposed model dynamically enhances the image based on the image contents. The main advantage of FITE lies in its capability to enhance the low contrast intensities through pixels’… More
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  • Fractional-Order Control of a Wind Turbine Using Manta Ray Foraging Optimization
  • Abstract In this research paper, an improved strategy to enhance the performance of the DC-link voltage loop regulation in a Doubly Fed Induction Generator (DFIG) based wind energy system has been proposed. The proposed strategy used the robust Fractional-Order (FO) Proportional-Integral (PI) control technique. The FOPI control contains a non-integer order which is preferred over the integer-order control owing to its benefits. It offers extra flexibility in design and demonstrates superior outcomes such as high robustness and effectiveness. The optimal gains of the FOPI controller have been determined using a recent Manta Ray Foraging Optimization (MRFO) algorithm. During the optimization process,… More
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  • Fractional Rényi Entropy Image Enhancement for Deep Segmentation of Kidney MRI
  • Abstract Recently, many rapid developments in digital medical imaging have made further contributions to health care systems. The segmentation of regions of interest in medical images plays a vital role in assisting doctors with their medical diagnoses. Many factors like image contrast and quality affect the result of image segmentation. Due to that, image contrast remains a challenging problem for image segmentation. This study presents a new image enhancement model based on fractional Rényi entropy for the segmentation of kidney MRI scans. The proposed work consists of two stages: enhancement by fractional Rényi entropy, and MRI Kidney deep segmentation. The proposed… More
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