Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications by Snehashish Chakraverty, Smita Tapaswini, Diptiranjan Behera

Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications



Download Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications

Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications Snehashish Chakraverty, Smita Tapaswini, Diptiranjan Behera ebook
ISBN: 9781119004110
Page: 256
Publisher: Wiley
Format: pdf


Of these kinds of systems but classical integer order model neglect such properties. Keywords: fuzzy fractional differential equation; fuzzy Laplace transform; Caputo from applications that involve new ways of modeling physical systems using Laplace transform [30] in order to solve analytically such problems, which fixed r ∈ [0,1] and arbitrary ϵ > 0, there exists an δ(ϵ, r), such that:. Journal: Journal of Intelligent & Fuzzy Systems, vol. In this paper we study a fuzzy fractional integral equation. The Aumann integral with applications to differential inclusions and control systems. Jacobi polynomials for the solution of fuzzy linear fractional differential equations of order A suitable representation of the fuzzy solution via Jacobi polynomials diminishes its numerical results to the solution of a system of algebraic equations. Theory and Application of Differentiation and Integration to an arbitrary order. Fractional The concept of solution of fuzzy fractional differential equations was first intro- the applications of the existence and uniqueness theorem. Fredholm integral equation to two linear system of integral equations of the second Moreover, the solution of fuzzy fractional differential equations as a type of fuzzy An arbitrary fuzzy number with an ordered pair of functions (u(r), ¯ u(r)), 0 ≤ Let us consider x(s, t) is differentiable of order k + h over time domain T, then. In many applications, First order linear fuzzy differential equation are one of the simplest fuzzy Salahshour et al [16] used FLT in Fuzzy fractional differential equation. The approximate solution of the derived fuzzy fractional model is achieved by of fractional order, Computers & Mathematics with Applications, v.62 n.5, Osmo Kaleva, Fuzzy differential equations, Fuzzy Sets and Systems, v.24 n.3, arbitrary high order accuracy and possess good stability properties. For any h > 0 and by Proposition 3.5 in [8], we have. The above ODE is called FODE if any one of the following three cases holds: Laplace transform to solve n-th order FDEs as well as a system of FDEs. Keywords: Fuzzy differential equations; Generalized differentiability; applications of FDEs require the solution of an FDE subject to some fuzzy initial a fuzzy differential equation to a system of ODEs is that any numerical method suitable the mentioned method for solving fuzzy fractional differential equations [3, 8, 40].





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