Numerical solution for a class of multi-order fractional differential equations with error correction and convergence analysis

[1]  D. Baleanu,et al.  Space-time fractional Rosenou-Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws , 2018 .

[2]  H. Saeedi.  A fractional-order operational method for numerical treatment of multi-order fractional partial differential equation with variable coefficients , 2018 .

[3]  Eric A. Butcher,et al.  Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods , 2018 .

[4]  D. Baleanu,et al.  Time Fractional Third-Order Evolution Equation: Symmetry Analysis, Explicit Solutions, and Conservation Laws , 2018 .

[5]  Dumitru Baleanu,et al.  A new analysis of the Fornberg-Whitham equation pertaining to a fractional derivative with Mittag-Leffler-type kernel , 2018 .

[6]  Dumitru Baleanu,et al.  An Efficient Non-standard Finite Difference Scheme for a Class of Fractional Chaotic Systems , 2018 .

[7]  Dumitru Baleanu,et al.  Fractional differential equations of Caputo-Katugampola type and numerical solutions , 2017, Appl. Math. Comput..

[8]  M. Arif,et al.  Study of a class of arbitrary order differential equations by a coincidence degree method , 2017 .

[9]  Dumitru Baleanu,et al.  A New Formulation of the Fractional Optimal Control Problems Involving Mittag–Leffler Nonsingular Kernel , 2017, J. Optim. Theory Appl..

[10]  E. Butcher,et al.  Stable fractional Chebyshev differentiation matrix for the numerical solution of multi-order fractional differential equations , 2017 .

[11]  D. Baleanu,et al.  New aspects of the adaptive synchronization and hyperchaos suppression of a financial model , 2017 .

[12]  D. Baleanu,et al.  The Motion of a Bead Sliding on a Wire in Fractional Sense , 2017 .

[13]  Dumitru Baleanu,et al.  Artificial neural network approach for a class of fractional ordinary differential equation , 2016, Neural Computing and Applications.

[14]  Ravi P. Agarwal,et al.  A modified numerical scheme and convergence analysis for fractional model of Lienard's equation , 2017, J. Comput. Appl. Math..

[15]  D. Baleanu,et al.  On solutions of fractional Riccati differential equations , 2017 .

[16]  Esmail Hesameddini,et al.  On the convergence of a new reliable algorithm for solving multi-order fractional differential equations , 2016, Commun. Nonlinear Sci. Numer. Simul..

[17]  Hossein Jafari,et al.  On a Numerical Approach to Solve Multi-Order Fractional Differential Equations With Initial/Boundary Conditions , 2015 .

[18]  S. Ntouyas,et al.  Existence and uniqueness of symmetric solutions for fractional differential equations with multi-order fractional integral conditions , 2015 .

[19]  Ahmed S. Hendy,et al.  Numerical Studies for Fractional Functional Differential Equations with Delay Based on BDF-Type Shifted Chebyshev Approximations , 2015 .

[20]  Yiming Chen,et al.  Numerical solution of fractional partial differential equations with variable coefficients using generalized fractional-order Legendre functions , 2014, Appl. Math. Comput..

[21]  Liqing Liu,et al.  Numerical solution for the variable order linear cable equation with Bernstein polynomials , 2014, Appl. Math. Comput..

[22]  Yiming Chen,et al.  Numerical Solution for a Class of Linear System ofFractional Differential Equations by the HaarWaveletMethod and the Convergence Analysis , 2014 .

[23]  A. Bhrawy,et al.  The operational matrix of Caputo fractional derivatives of modified generalized Laguerre polynomials and its applications , 2013 .

[24]  Devendra Kumar,et al.  A fractional epidemiological model for computer viruses pertaining to a new fractional derivative , 2018, Appl. Math. Comput..

[25]  Hossein Jafari,et al.  Analysis of Riccati Differential Equations within a New Fractional Derivative without Singular Kernel , 2017, Fundamenta Informaticae.

[26]  Ioannis K. Argyros,et al.  Monotone Convergence of Extended Iterative Methods and Fractional Calculus with Applications , 2017, Fundam. Informaticae.

[27]  Dumitru Baleanu,et al.  Modified Kawahara equation within a fractional derivative with non-singular kernel , 2017 .

[28]  Dumitru Baleanu,et al.  A new numerical algorithm for fractional Fitzhugh–Nagumo equation arising in transmission of nerve impulses , 2017 .

[29]  Dumitru Baleanu,et al.  Soliton structures to some time-fractional nonlinear differential equations with conformable derivative , 2017 .

[30]  E. Babolian,et al.  Numerical solutions of multi-order fractional differential equations by Boubaker polynomials , 2016 .

[31]  Yiming Chen,et al.  The Chebyshev Wavelet Method for Solving Fractional Integral and Differential Equations of Bratu-type ⋆ , 2013 .

[32]  Yiming Chen,et al.  Numerical solution of nonlinear fractional integral differential equations by using the second kind Chebyshev wavelets , 2013 .

[33]  Yiming Chen,et al.  Numerical solution of nonlinear fractional integraldifferential equations by using the second kind Chebyshevwavelets , 2013 .