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Fractional Calculus and Its Applications: A Comprehensive Review

Author(s) Dr. V.P. Singh, Swati Singh
Country India
Abstract Fractional calculus (FC) extends classical differentiation and integration to non-integer orders, offering powerful tools for modeling complex systems in physics, engineering, and finance. This review explores the fundamental concepts of fractional calculus, its historical development, and its broad spectrum of applications. Key theoretical aspects, numerical methods, and real-world implementations are discussed. The review also highlights challenges and future directions in the field, including recent research findings and experimental validations. The subject of fractional calculus has applications in diverse and widespread fields of engineering and science such as electromagnetics, viscoelasticity, fluid mechanics, electro- chemistry, biological population models, optics, and signals processing. It has been used to model physical and engineering processes that are found to be best described by fractional differential equations. The fractional derivative models are used for accurate modelling of those systems that require accurate modelling of damping. In these fields, various analytical and numerical methods including their applications to new problems have been proposed in recent years. This special issue on “Fractional Calculus and its Applications in Applied Mathematics and Other Sciences” is devoted to study the recent works in the above fields of fractional calculus done by the leading researchers. The papers for this special issue were selected after a careful and studious peer-review process.
Field Mathematics
Published In Volume 16, Issue 1, January-March 2025
Published On 2025-02-21
Cite This Fractional Calculus and Its Applications: A Comprehensive Review - Dr. V.P. Singh, Swati Singh - IJSAT Volume 16, Issue 1, January-March 2025. DOI 10.71097/IJSAT.v16.i1.2012
DOI https://doi.org/10.71097/IJSAT.v16.i1.2012
Short DOI https://doi.org/g8595m
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