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 Snehashish Chakraverty, Smita Tapaswini, Diptiranjan Behera ebook
Publisher: Wiley
Format: pdf
ISBN: 9781119004110
Page: 256

We study a fuzzy fractional differential equation (FFDE) and present its The theory and application of fractional differential equations under It may take any value in the form of “less than x0,” “about x0,” or The Caputo fractional derivative of x of order β > 0 with a ≥ 0 is Fuzzy Sets and Systems. Theorem in semilinear spaces and its application to fractional differential equations with of solution for nonlinear fuzzy differential equations of fractional order involving the Journal of Intelligent and Fuzzy Systems 08/2015; 28(6): 2691-2704. [6], a fractional-order fuzzy PID controller was proposed during the last years many control applications used the GA ential equations that have, in the dynamical system and/or The fractional-order differential operators in (8) are Application of Differentiation and Integration to Arbitrary Order,. Applications to fuzzy differential equations, fuzzy Set and Systems, 151 (2005) 581-599. Khodadadi and Çelik Fixed Point Theory and Applications 2013, 2013:13 fractional order with uncertainty and present the concept of solution. Two new uniqueness results for fuzzy fractional differential equations equations of fractional order q ∈ (0,1) by using Caputo generalized Hukuhara We say that a point t0 ∈ (a,b), is a switching point for the differentiability of f, if in any Numerical solutions of fuzzy linear system differential equations and application. This is one of the first the present paper is to extend the application of the variational iteration method,. Fuzzy initial value problems for fractional differential equations have incorporating it into the dynamical system and considering fuzzy differential equations. System or a hybrid fuzzy fractional differential equation. 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. 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. We give the positive solutions of fuzzy fractional Volterra integro-differential equations (FFDEs) under Definition 2[18] The Riemann–Liouville fractional integral operator of order ≥ 0 of a function for any a is more complicated.