Time-Fractional Order Biological Systems with Uncertain Parameters by Snehashish Chakraverty, Rajarama Mohan Jena, Subrat Kumar Jena
English | PDF(True) | 2020 | 162 Pages | ISBN : 1681737493, 1681737515 | 17.58 MB
The subject of fractional calculus has gained considerable popularity and importance during the past three decades, mainly due to its validated applications in various fields of science and engineering. It is a generalization of ordinary differentiation and integration to arbitrary (non-integer) order. The fractional derivative has been used in various physical problems, such as frequency-dependent damping behavior of structures, biological systems, motion of a plate in a Newtonian fluid, 𝑃𝐼λ𝐷μ controller for the control of dynamical systems, and so on. It is challenging to obtain the solution (both analytical and numerical) of related nonlinear partial differential equations of fractional order. So for the last few decades, a great deal of attention has been directed towards the solution for these kind of problems. Different methods have been developed by other researchers to analyze the above problems with respect to crisp (exact) parameters.
