@Article{Arikoglu2009, author="A. Arikoglu, I. Ozkol", title="Solution of fractional integro-differential equations by using fractional differential transform method", journal="Chaos Solitons Fractals", year="2009", pages="521--529", volume="40" } @Article{Cen2017, author="Z. D. Cen, A. B. Le, A. M. Xu", title="A robust numerical method for a fractional differential equation", journal="Appl. Math. Comput.", year="2017", pages="654--671", volume="315" } @Article{Chen2012, author="Y. M. Chen, M. X. Yi, C. X. Yu", title="Error analysis for numerical solution of functional differential equation by Haar wavelets method", journal="J. Comput. Sci.", year="2012", pages="367--573", volume="5" } @Book{Diethelm2012, author="K. Diethelm, D. Baleanu, E. Scalas, J. J. Trujillo", title="Fractional calculus: models and numerical methods", year="2012", publisher="World Scientific Publishing Co.", address="Hackensack" } @Article{El-Kalla2011, author="I. L. El-Kalla", title="Error estimate of the series solution to a class of nonlinear fractional differential equations", journal="Commun. Nonlinear Sci. Numer. Simul.", year="2011", pages="1408--1413", volume="16" } @Article{El-Sayed1998, author="A. M. A. El-Sayed", title="Nonlinear functional differential equations of arbitrary orders", journal="Nonlinear Anal.", year="1998", pages="181--186", volume="33" } @Article{Huang2019, author="L.-L. Huang, B.-Q. Liu, D. Baleanu, G.-C. Wu", title="Numerical solutions of interval--valued fractional nonlinear differential equations", journal="Eur. Phys. J. PLUS", year="2019", pages="15 pages", volume="134" } @Article{Jafari2012, author="H. Jafari, A. Kadem, D. Baleanu, T. Yilmaz", title="Solutions of the fractional Davey-Stewartson equations with variational iteration method", journal="Romanian Reports in Physics", year="2012", pages="337--346", volume="64" } @Article{Jafari2015, author="H. Jafari, H. Tajadodi, D. Baleanu", title="A numerical a approach for fractional order Riccati differential equation using B--Spline operational matrix", journal="Fract. Calc. Appl. Anal.", year="2015", pages="387--399", volume="18" } @Article{Kadem2012, author="A. Kadem, A. Kilicman", title="The approximate solution of fractional Fredholm integrodifferential equations by variational iteration and homotopy perturbation methods", journal="Abstr. Appl. Anal.", year="2012", pages="10 pages", volume="2012" } @Article{Li2020, author="W. J. Li, Y. Peng", title="Application of Adomian decomposition method to nonlinear system", journal="Adv. Difference Equ.", year="2020", pages="67 pages", volume="2020" } @Article{Loverro2004, author="A. Loverro", title="Fractional Calculus: History, Definitions and Applications for the Engineer", journal="Rapport technique (Univeristy of Notre Dame, Department of Aerospace and Mechanical Engineering)", year="2004", pages="28 pages", volume="2004" } @Article{Mendes2019, author="E. M. A. M. Mendes, G. H. O. Salgado, L. A. Aguirre", title="Numerical solution of Caputo fractional differential equations with infinity memory effect at initial condition", journal="Commun. Nonlinear Sci. Numer. Simul.", year="2019", pages="237--247", volume="69" } @Article{Meng2018, author="Z. J. Meng, M. X. Yi, J. Huang, L. Song", title="Numerical solutions of nonlinear fractional differential equations by alternative Legendre polynomials", journal="Appl. Math. Comput.", year="2018", pages="454--464", volume="336" } @Article{Momani2006, author="S. Momani, M. Aslam Noor", title="Numerical methods for fourth order fractional integro-differential equations", journal="Appl. Math. Comput.", year="2006", pages="754--760", volume="182" } @Article{Momani2006, author="S. Momani, R. Qaralleh", title="An efficient method for solving systems of fractional Integro-differential equations", journal="Comput. Math. Appl.", year="2006", pages="459--470", volume="52" } @Article{Nawaz2011, author="Y. Nawaz", title="Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations", journal="Comput. Math. Appl.", year="2011", pages="2330--2341", volume="61" } @Book{Podlubny1999, author="I. Podlubny", title="Fractional differential equations", year="1999", publisher="Academic press", address="San Diego" } @Article{Rawashdeh2006, author="E. A. Rawashdeh", title="Numerical solution of fractional integro-differential equations by collocation method", journal="Appl. Math. Comput.", year="2006", pages="1--6", volume="176" } @Article{Ray2020, author="S. S. Ray", title="Numerical Solutions of Riesz Fractional Partial Differential Equations", journal="Nonlinear Diff. Equ. Phys.", year="2020", pages="119--154", volume="2020" } @Article{Saadatmandi2010, author="A. Saadatmandi, M. Dehghan", title="A new operational matrix for solving fractional-order differential equations", journal="Comput. Math. Appl.", year="2010", pages="1326--1336", volume="59" } @Article{Saberi-Nadjafi2008, author="J. Saberi-Nadjafi, M. Tamamgar", title="The variational iteration method: A highly promising method for solving the system of integro-differential equations", journal="Comput. Math. Appl.", year="2008", pages="346--351", volume="56" } @Article{Sakran2019, author="M. R. A. Sakran", title="Numerical Solutions integral and integro- differential equations using Chebyshev polynomials of the third kind", journal="Appl. Math. Comput.", year="2019", pages="66--82", volume="351" } @Article{Semary2018, author="M. S. Semary, H. N. Hassan, A. G. Radwan", title="Modified methods for solving two classes of distributed order linear fractional differential equations", journal="Appl. Math. Comput.", year="2018", pages="106--119", volume="323" } @Article{Yang2018, author="D. Yang, J. R. Wang, D. O'Regan", title="A class of nonlinear non-instantaneous impulsive differential equations involving parameters and fractional order", journal="Appl. Math. Comput.", year="2018", pages="654--671", volume="321" } @Article{Yi 2012, author="M. X. Yi , Y. M. Chen", title="Haar wavelet operational matrix method for solving fractional partial differential equations", journal="CMES Comput. Model. Eng. Sci.", year="2012", pages="229--244", volume="88" }