Fractional Jacobi operational matrix for solving Fuzzy Fractional Differential Equation

[1]  Saeed Kazem,et al.  An integral operational matrix based on Jacobi polynomials for solving fractional-order differential equations , 2013 .

[2]  Ali Vahidian Kamyad,et al.  Modified fractional Euler method for solving Fuzzy Fractional Initial Value Problem , 2013, Commun. Nonlinear Sci. Numer. Simul..

[3]  O. Agrawal A General Formulation and Solution Scheme for Fractional Optimal Control Problems , 2004 .

[4]  N. Ford,et al.  A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations , 2013 .

[5]  Tofigh Allahviranloo,et al.  Concreted solutions to fuzzy linear fractional differential equations , 2016, Appl. Soft Comput..

[6]  Abraham Kandel,et al.  Fuzzy linear systems , 1998, Fuzzy Sets Syst..

[7]  Dumitru Baleanu,et al.  A Jacobi operational matrix for solving a fuzzy linear fractional differential equation , 2013 .

[8]  H. Román-Flores,et al.  On new solutions of fuzzy differential equations , 2008 .

[9]  Syed Abbas,et al.  Existence and uniqueness of solution of Caputo fractional differential equations , 2012 .

[10]  Saeed Kazem,et al.  Fractional-order Legendre functions for solving fractional-order differential equations , 2013 .

[11]  Juan J. Nieto,et al.  Fuzzy fractional initial value problem , 2015, J. Intell. Fuzzy Syst..

[12]  Hossein Jafari,et al.  Adomian decomposition: a tool for solving a system of fractional differential equations , 2005 .

[13]  Ali Ahmadian,et al.  An Operational Matrix Based on Legendre Polynomials for Solving Fuzzy Fractional-Order Differential Equations , 2013 .

[14]  Eid H. Doha,et al.  A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order , 2011, Comput. Math. Appl..

[15]  Wei Wei,et al.  EXISTENCE AND UNIQUENESS RESULTS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH BOUNDARY VALUE CONDITIONS , 2011 .

[16]  E. H. Doha,et al.  A NEW JACOBI OPERATIONAL MATRIX: AN APPLICATION FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS , 2012 .

[17]  Tofigh Allahviranloo,et al.  SOLVING FUZZY FRACTIONAL DIFFERENTIAL EQUATIONS BY FUZZY LAPLACE TRANSFORMS , 2012 .

[18]  Dumitru Baleanu,et al.  On shifted Jacobi spectral approximations for solving fractional differential equations , 2013, Appl. Math. Comput..

[19]  Barnabás Bede,et al.  Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations , 2005, Fuzzy Sets Syst..

[20]  Tofigh Allahviranloo,et al.  Fuzzy fractional differential equations under generalized fuzzy Caputo derivative , 2014, J. Intell. Fuzzy Syst..

[21]  José António Tenreiro Machado,et al.  Fractional signal processing and applications , 2003, Signal Process..

[22]  Tofigh Allahviranloo,et al.  Solution of a fuzzy system of linear equation , 2006, Appl. Math. Comput..

[23]  George A. Anastassiou,et al.  Fuzzy Mathematics: Approximation Theory , 2010, Studies in Fuzziness and Soft Computing.

[24]  S. Das,et al.  Analytical solution of a fractional diffusion equation by variational iteration method , 2009, Comput. Math. Appl..

[25]  Mehdi Dehghan,et al.  A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials , 2016 .

[26]  Ali H. Bhrawy,et al.  The operational matrix of fractional integration for shifted Chebyshev polynomials , 2013, Appl. Math. Lett..

[27]  N. Engheta On fractional calculus and fractional multipoles in electromagnetism , 1996 .

[28]  Tofigh Allahviranloo,et al.  Existence and uniqueness results for fractional differential equations with uncertainty , 2012, Advances in Difference Equations.

[29]  Chee Seng Chan,et al.  Fractional Differential Systems: A Fuzzy Solution Based on Operational Matrix of Shifted Chebyshev Polynomials and Its Applications , 2017, IEEE Transactions on Fuzzy Systems.

[30]  Saeid Abbasbandy,et al.  Best Approximation of Fuzzy Functions , 2007 .

[31]  José António Tenreiro Machado,et al.  Fractional signal processing and applications , 2015, Signal Process..

[32]  Maw‐Ling Wang,et al.  Modified Laguerre operational matrices for fractional calculus and applications , 1985 .

[33]  Osmo Kaleva Fuzzy differential equations , 1987 .

[34]  Barnabás Bede,et al.  Generalized differentiability of fuzzy-valued functions , 2013, Fuzzy Sets Syst..

[35]  Hossein Jafari,et al.  SOLVING FRACTIONAL DIFFUSION AND WAVE EQUATIONS BY MODIFIED HOMOTOPY PERTURBATION METHOD , 2007 .

[36]  Zhanbing Bai,et al.  The Existence and Uniqueness of a Class of Fractional Differential Equations , 2014 .

[37]  Ali H. Bhrawy,et al.  Shifted fractional-order Jacobi orthogonal functions: Application to a system of fractional differential equations , 2016 .

[38]  Tofigh Allahviranloo,et al.  Fractional relaxation-oscillation differential equations via fuzzy variational iteration method , 2017, J. Intell. Fuzzy Syst..