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London, New York: Higher Education Press, Springer Heidelberg Dordrecht; 2011. Podlubny I. Fractional Differential Equations. New York, NY: Academic Press; 1999. Prakash P, Nieto JJ, Senthilvelavan S, Sudha Priya G. Fuzzy fractional initial value problem. J Intell Fuzzy Syst 2015,28:2691–2704. Ross TJ. Fuzzy Logic with Engineering Applications. New York: John Wiley & Sons; 2004. Saadatmandi A, Dehghan M. A new operational matrix for solving fractional order differential equations. Comput Math Appl 2010;59:1326–1336.
In this regard, first, we will briefly discuss the concept of n-term fuzzy fractional linear ordinary differential equations. In general, three cases may arise according to sign of the coefficients in the FFDEs. Finally, this chapter includes three analytical methods by considering three cases to solve n-term linear FFDEs as follows. Method 1: Fuzzy-Center-Based Method (FCM) (Tapaswini and Chakraverty, 2014a). Method 2: Method Based on Addition and Subtraction of Fuzzy Numbers (ASFM). Method 3: Double-Parametric-Based Method (DPM) (Tapaswini and Chakraverty, 2013, 2014a).
He JH. Variational iteration method for autonomous ordinary differential system. Appl Math Comput 2000b;114:115–123. 40 FUZZY ARBITRARY ORDER SYSTEM Himoun N, Abbaoui K, Cherruault Y. New results of convergence of Adomian’s method. Kybernetes 1999;28:423–429. Kazem S. Exact solution of some linear fractional differential equations by Laplace transform. Int J Nonlinear Sci 2013;16:3–11. Tapaswini S, Chakraverty S. Numerical solution of n-th order fuzzy linear differential equations by homotopy perturbation method.
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