TY - JOUR TI - Solution of fractional integro-differential equations by using fractional differential transform method AU - A. Arikoglu AU - I. Ozkol JO - Chaos Solitons Fractals PY - 2009 DA - 2009// VL - 40 ID - Arikoglu2009 ER - TY - JOUR TI - A robust numerical method for a fractional differential equation AU - Z. D. Cen AU - A. B. Le AU - A. M. Xu JO - Appl. Math. Comput. PY - 2017 DA - 2017// VL - 315 ID - Cen2017 ER - TY - JOUR TI - Error analysis for numerical solution of functional differential equation by Haar wavelets method AU - Y. M. Chen AU - M. X. Yi AU - C. X. Yu JO - J. Comput. Sci. PY - 2012 DA - 2012// VL - 5 ID - Chen2012 ER - TY - BOOK TI - Fractional calculus: models and numerical methods AU - K. Diethelm AU - D. Baleanu AU - E. Scalas AU - J. J. Trujillo PB - World Scientific Publishing Co. PY - 2012 DA - 2012// CY - Hackensack ID - Diethelm2012 ER - TY - JOUR TI - Error estimate of the series solution to a class of nonlinear fractional differential equations AU - I. L. El-Kalla JO - Commun. Nonlinear Sci. Numer. Simul. PY - 2011 DA - 2011// VL - 16 ID - El-Kalla2011 ER - TY - JOUR TI - Nonlinear functional differential equations of arbitrary orders AU - A. M. A. El-Sayed JO - Nonlinear Anal. PY - 1998 DA - 1998// VL - 33 ID - El-Sayed1998 ER - TY - JOUR TI - Numerical solutions of interval--valued fractional nonlinear differential equations AU - L.-L. Huang AU - B.-Q. Liu AU - D. Baleanu AU - G.-C. Wu JO - Eur. Phys. J. PLUS PY - 2019 DA - 2019// VL - 134 ID - Huang2019 ER - TY - JOUR TI - Solutions of the fractional Davey-Stewartson equations with variational iteration method AU - H. Jafari AU - A. Kadem AU - D. Baleanu AU - T. Yilmaz JO - Romanian Reports in Physics PY - 2012 DA - 2012// VL - 64 ID - Jafari2012 ER - TY - JOUR TI - A numerical a approach for fractional order Riccati differential equation using B--Spline operational matrix AU - H. Jafari AU - H. Tajadodi AU - D. Baleanu JO - Fract. Calc. Appl. Anal. PY - 2015 DA - 2015// VL - 18 ID - Jafari2015 ER - TY - JOUR TI - The approximate solution of fractional Fredholm integrodifferential equations by variational iteration and homotopy perturbation methods AU - A. Kadem AU - A. Kilicman JO - Abstr. Appl. Anal. PY - 2012 DA - 2012// VL - 2012 ID - Kadem2012 ER - TY - JOUR TI - Application of Adomian decomposition method to nonlinear system AU - W. J. Li AU - Y. Peng JO - Adv. Difference Equ. PY - 2020 DA - 2020// VL - 2020 ID - Li2020 ER - TY - JOUR TI - Fractional Calculus: History, Definitions and Applications for the Engineer AU - A. Loverro JO - Rapport technique (Univeristy of Notre Dame, Department of Aerospace and Mechanical Engineering) PY - 2004 DA - 2004// VL - 2004 ID - Loverro2004 ER - TY - JOUR TI - Numerical solution of Caputo fractional differential equations with infinity memory effect at initial condition AU - E. M. A. M. Mendes AU - G. H. O. Salgado AU - L. A. Aguirre JO - Commun. Nonlinear Sci. Numer. Simul. PY - 2019 DA - 2019// VL - 69 ID - Mendes2019 ER - TY - JOUR TI - Numerical solutions of nonlinear fractional differential equations by alternative Legendre polynomials AU - Z. J. Meng AU - M. X. Yi AU - J. Huang AU - L. Song JO - Appl. Math. Comput. PY - 2018 DA - 2018// VL - 336 ID - Meng2018 ER - TY - JOUR TI - Numerical methods for fourth order fractional integro-differential equations AU - S. Momani AU - M. Aslam Noor JO - Appl. Math. Comput. PY - 2006 DA - 2006// VL - 182 ID - Momani2006 ER - TY - JOUR TI - An efficient method for solving systems of fractional Integro-differential equations AU - S. Momani AU - R. Qaralleh JO - Comput. Math. Appl. PY - 2006 DA - 2006// VL - 52 ID - Momani2006 ER - TY - JOUR TI - Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations AU - Y. Nawaz JO - Comput. Math. Appl. PY - 2011 DA - 2011// VL - 61 ID - Nawaz2011 ER - TY - BOOK TI - Fractional differential equations AU - I. Podlubny PB - Academic press PY - 1999 DA - 1999// CY - San Diego ID - Podlubny1999 ER - TY - JOUR TI - Numerical solution of fractional integro-differential equations by collocation method AU - E. A. Rawashdeh JO - Appl. Math. Comput. PY - 2006 DA - 2006// VL - 176 ID - Rawashdeh2006 ER - TY - JOUR TI - Numerical Solutions of Riesz Fractional Partial Differential Equations AU - S. S. Ray JO - Nonlinear Diff. Equ. Phys. PY - 2020 DA - 2020// VL - 2020 ID - Ray2020 ER - TY - JOUR TI - A new operational matrix for solving fractional-order differential equations AU - A. Saadatmandi AU - M. Dehghan JO - Comput. Math. Appl. PY - 2010 DA - 2010// VL - 59 ID - Saadatmandi2010 ER - TY - JOUR TI - The variational iteration method: A highly promising method for solving the system of integro-differential equations AU - J. Saberi-Nadjafi AU - M. Tamamgar JO - Comput. Math. Appl. PY - 2008 DA - 2008// VL - 56 ID - Saberi-Nadjafi2008 ER - TY - JOUR TI - Numerical Solutions integral and integro- differential equations using Chebyshev polynomials of the third kind AU - M. R. A. Sakran JO - Appl. Math. Comput. PY - 2019 DA - 2019// VL - 351 ID - Sakran2019 ER - TY - JOUR TI - Modified methods for solving two classes of distributed order linear fractional differential equations AU - M. S. Semary AU - H. N. Hassan AU - A. G. Radwan JO - Appl. Math. Comput. PY - 2018 DA - 2018// VL - 323 ID - Semary2018 ER - TY - JOUR TI - A class of nonlinear non-instantaneous impulsive differential equations involving parameters and fractional order AU - D. Yang AU - J. R. Wang AU - D. O'Regan JO - Appl. Math. Comput. PY - 2018 DA - 2018// VL - 321 ID - Yang2018 ER - TY - JOUR TI - Haar wavelet operational matrix method for solving fractional partial differential equations AU - M. X. Yi AU - Y. M. Chen JO - CMES Comput. Model. Eng. Sci. PY - 2012 DA - 2012// VL - 88 ID - Yi 2012 ER -