Special Issue: Pure and Applied Advances in the Fractional Calculus: Applications Guest Editors Prof. Praveen Agarwal Anand International College of Engineering, India Email: goyal.praveen2011@gmail.com Prof. Carlo Cattani Engineering School, DEIM, 01100 Viterbo, ITALY Email: cattani@unitus.it Prof. R.R. Nigmatullin Radioelectronics and Informative-Measurement Technics Department Kazan National Research Technical University (KNRTU-KAI) named after A.N. Tupole Kazan, Karl Marx str., 10, 420111, Tatarstan, Russian Federation E-mail: renigmat@gmail.com Manuscript Topics Fractional Calculus is a field of applied mathematics that deals with derivatives and integrals of arbitrary orders (including complex orders), and their applications in science, engineering, mathematics, economics, and other fields. It is also known by several other names such as the Generalized name “Fractional Calculus” which is a holdover from the period when it meant calculus of ration order. The seeds of fractional derivatives were planted over 300 years ago. Since then many great mathematicians (pure and applied) of their times, such as N. H. Abel, M. Caputo, L. Euler, J. Fourier, A. K. Grunwald, J. Hadamard, G. H. Hardy, O. Heaviside, H. J. Holmgren, P. S. Laplace, G. W. Leibniz, A. V. Letnikov, J. Liouville, B. Riemann M. Riesz, and H. Weyl, have contributed to this field. However, most scientists and engineers remain unaware of Fractional Calculus because it is not taught in schools and colleges due to many reasons for example several of the definitions proposed for fractional derivatives worked only for some cases but not in others. Nearly 50 years ago, the paradigm began to shift from pure mathematical Fractional Calculus has been applied to almost every field of science, has made a profound impact include viscoelasticity and rheology, electrical engineering, electrochemistry, biology, biophysics and bioengineering, signal and image processing, mechanics, mechatronics, physics, and control theory. Although some of the mathematical issues remain unsolved, most of the difficulties have been overcome, and most of the documented key mathematical issues in the field have been resolved to a point where many Marichev (1993), Kiryakova (1994), Carpinteri and Mainardi (1997), Podlubny (1999), and Hilfer (2000) have been helpful in introducing the field to engineering, science, economics and finance, pure and applied field. This Special Issue is part of 3rd International Conference on Recent Development in Engineering & Technology, February 25-26, 2022, Anand International College of Engineering, Jaipur, India. We cordially invites participants of the ICRDET with others contributors also welcomes the review, expository, and original research articles comprising pure and applied for advances in the fractional calculus along with their applications across widely dispersed disciplines in the physical, natural, computational, environmental, engineering, and statistical sciences. Keywords · fractional calculus for engineers; mathematical modelling of complex systems via fractional calculus; generalized fractional operators; fractional integral transforms; fractional differential equations; fractional integral equations; fractional integro-differential equations; fractional integrals and fractional derivatives associated with special functions of mathematical physics; inequalities and identities involving fractional integrals and fractional derivatives; fractional Calculus- new fractional definitions, their properties and applications; fractional calculus models in physics, biology, chemistry, economics, medicine, engineering, etc.; · Schedule and Key Deadlines Open for submissions: February 27, 2022 Paper submission deadline: September 27, 2022 Publication date: December 2022 (Tentative) |