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Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrary order in the mathematical modelling of physical processes, and it has become a relevant subject with applications to various fields, such as anomalous diffusion, propagation in different media, and propogation in relation to materials with different properties. However, many aspects from theoretical and practical points of view have still to be developed in relation to models based on fractional operators. This Special Issue is related to new developments on different aspects of fractional differential equations, both from a theoretical point of view and in terms of applications in different fields such as physics, chemistry, or control theory, for instance. The topics of the Issue include fractional calculus, the mathematical analysis of the properties of the solutions to fractional equations, the extension of classical approaches, or applications of fractional equations to several fields.

fractional wave equation --- dependence on a parameter --- conformable double Laplace decomposition method --- Riemann—Liouville Fractional Integration --- Lyapunov functions --- Power-mean Inequality --- modified functional methods --- oscillation --- fractional-order neural networks --- initial boundary value problem --- fractional p-Laplacian --- model order reduction --- ?-fractional derivative --- Convex Functions --- existence and uniqueness --- conformable partial fractional derivative --- nonlinear differential system --- conformable Laplace transform --- Mittag–Leffler synchronization --- delays --- controllability and observability Gramians --- impulses --- conformable fractional derivative --- Moser iteration method --- fractional q-difference equation --- energy inequality --- b-vex functions --- Navier-Stokes equation --- fractional-order system --- Kirchhoff-type equations --- Razumikhin method --- Laplace Adomian Decomposition Method (LADM) --- fountain theorem --- Hermite–Hadamard’s Inequality --- distributed delays --- Caputo Operator --- fractional thermostat model --- sub-b-s-convex functions --- fixed point theorem on mixed monotone operators --- singular one dimensional coupled Burgers’ equation --- generalized convexity --- delay differential system --- positive solutions --- positive solution --- fixed point index --- Jenson Integral Inequality --- integral conditions

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This edited volume is a collection of selected research articles discussing the analysis of infectious diseases by using mathematical modelling in recent times. Divided into two parts, the book gives a general and country-wise analysis of Covid-19. Analytical and numerical techniques for virus models are presented along with the application of mathematical modelling in the analysis of their spreading rates and treatments. The book also includes applications of fractional differential equations as well as ordinary, partial and integrodifferential equations with optimization methods. Probability distribution and their bio-mathematical applications have also been studied. This book is a valuable resource for researchers, scholars, biomathematicians and medical experts.

Mathematics --- Hygiene. Public health. Protection --- Planning (firm) --- preventieve gezondheidszorg --- mathematische modellen --- gezondheidspromotie --- wiskunde --- COVID-19 (Disease) --- COVID-19 --- Models matemàtics --- Mathematical models.

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This edited volume is a collection of selected research articles discussing the analysis of infectious diseases by using mathematical modelling in recent times. Divided into two parts, the book gives a general and country-wise analysis of Covid-19. Analytical and numerical techniques for virus models are presented along with the application of mathematical modelling in the analysis of their spreading rates and treatments. The book also includes applications of fractional differential equations as well as ordinary, partial and integrodifferential equations with optimization methods. Probability distribution and their bio-mathematical applications have also been studied. This book is a valuable resource for researchers, scholars, biomathematicians and medical experts.

Mathematics --- Hygiene. Public health. Protection --- Planning (firm) --- preventieve gezondheidszorg --- mathematische modellen --- gezondheidspromotie --- wiskunde --- COVID-19 (Disease)

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