@Article{Duarte2002, author=" F. B. M. Duarte, J. A. Tenreiro Machado", title=" Chaotic phenomena and fractional-order dynamics in the trajectory control of redundant manipulators", journal="Nonlinear Dyn.", year="2002", pages="315–342", volume="29" } @Article{Agrawal2004, author="O. P. Agrawal", title=" A general formulation and solution scheme for fractional optimal control problems", journal="Nonlinear Dyn.", year="2004", pages=" 323-337. ", volume="38" } @Article{Engheta 1996, author=" N. Engheta ", title="On fractional calculus and fractional multipoles in electromagnetism", journal=" IEEE T. Antenn. Propag", year="1996", pages=" 554-566. ", volume="44" } @Article{Magin2010, author=" R. L. Magin", title="Fractional calculus models of complex dynamics in biological tissues", journal=" Comput. Math. Appl.", year="2010", pages="1586-1593. ", volume="59" } @Book{Kulish2002, author="V. V. Kulish, Jos L. Lage ", title="Application of fractional calculus to fluid mechanics", year="2002", publisher=" J. Fluids Eng., 124 ", address="doi:10.1115/1.1478062. " } @Article{Oldham2010, author=" K. B. Oldham", title="Fractional differential equations in electrochemistry", journal="Adv. Eng. Soft.", year="2010", pages=" 9-12. ", volume="41" } @Article{Gafiychuk2008, author="V. Gafiychuk, B. Datsko, V. Meleshko", title=" Mathematical modeling of time fractional reaction diffusion systems", journal="J. Comput. Appl. Math.", year="2008", pages=" 215-225. ", volume="220" } @Article{Lederman2004, author="C. Lederman, J-M Roquejoffre, N. Wolanski", title="Mathematical justification of a nonlinear integrodifferential equation for the propagation of spherical flames", journal="Ann. di Mate", year="2004", pages=" 173-239. ", volume="183" } @Article{Mainardi1997, author="F. Mainardi", title=" Fractional calculus: some basic problems in continuum and statistical mechanics", journal="in: A. Carpinteri, F. Mainardi (Eds.), Fractals and Fractional Calculus in Continuum Mechanics, Springer-Verlag, New York", year="1997", pages="291-348. ", volume="" } @Article{Meral2010, author=" F. C. Meral, T. J. Royston, R. Magin", title="Fractional calculus in viscoelasticity: an experimental study", journal=" Commun. Nonl. Sci. Num. Sim.", year="2010", pages="939-945. ", volume="15" } @Article{Jafari2009, author="H. Jafari, S. Seifi", title=" Homotopy Analysis Method for solving linear and nonlinear fractional diffusion-wave equation", journal=" Commun. Nonli. Science Numer. Simul.", year="2009", pages="2006--2012. ", volume="14 ( 5)" } @Article{Daftardar-Gejji2007, author=" V. Daftardar-Gejji, H. Jafari", title="Solving a multi-order fractional differential equation using adomian decomposition", journal=" Appl. Math. Comput.", year="2007", pages="541-548. ", volume="189" } @Article{Abdulaziz2008, author="O. Abdulaziz, I. Hashim, S. Momani", title="Solving systems of fractional differential equations by homotopy-perturbation method", journal=" Phys. Lett.", year="2008", pages="451-459. ", volume="A 372" } @Article{Ghazanfari2011, author=" B. Ghazanfari, A. G. Ghazanfari, M. Fuladvand", title=" Modification of the Homotopy Perturbation Method for Numerical Solution of Nonlinear Wave and System of Nonlinear Wave Equations", journal=" J. Math. Computer Sci. ", year="2011", pages="212–224. ", volume="3" } @Article{Mahmoudi2013, author=" M. Mahmoudi, M. V. Kazemi", title="Solving Singular BVPs Ordinary Differential Equations by Modified Homotopy Perturbation Method", journal="J. Math. Computer Sci. ", year="2013", pages=" 138–143. ", volume="7" } @Article{Rabbani2013, author="M. Rabbani", title=" New Homotopy Perturbation Method to Solve Non-Linear Problems", journal=" J. Math. Computer Sci.", year="2013", pages=" 272–275. ", volume="7" } @Article{Hashim2009, author=" I. Hashim, O. Abdulaziz, S. Momani", title="Homotopy analysis method for fractional IVPs", journal="Commun. Nonlinear Sci. Numer. Simul.", year="2009", pages=" 674-684. ", volume="14" } @Article{Wu2010, author="G. Wu, E. W. M. Lee", title=" Fractional variational iteration method and its application", journal=" Phys. Lett.", year="2010", pages="2506-2509. ", volume="A 374" } @Article{Odibat2008, author="Z. Odibat, S. Momani, V. Suat Erturk", title="Generalized differential transform method: application to differential equations of fractional order", journal="Appl. Math. Comput.", year="2008", pages=" 467-477. ", volume="197" } @Article{Zhang 2009, author="Y. Zhang ", title="A finite difference method for fractional partial differential equation ", journal="Appl. Math. Comput.", year="2009", pages=" 524-529. ", volume="215" } @Article{Neamaty2013, author=" A. Neamaty, B. Agheli, R. Darzi ", title="Solving Fractional Partial Differential Equation by Using Wavelet Operational Method", journal=" J. Math. Computer Sci.", year="2013", pages="230–240. ", volume="7" } @Article{Azizi2014, author=" H. Azizi, Gh. Barid Loghmani ", title="A numerical method for space fractional diffusion equations using a semi-disrete scheme and Chebyshev collocation method", journal="J. Math. Computer Sci. ", year="2014", pages=" 226–235.", volume="8" } @Book{Adomian1994, author="G. Adomian", title=" Solving Frontier Problems of Physics: The Decomposition Method", year="1994", publisher=" Kluwer Academic Publishers", address="Boston" } @Article{Adomian1988, author=" G. Adomian", title="A review of the decomposition method in applied mathematics", journal="J. Math. Anal. Appl.", year="1988", pages="501–544.", volume="135" } @Article{Jumarie2006, author=" G. Jumarie", title="Modified Riemann-Liouville derivative and fractional Taylor series of non-differentiable functions further results", journal=" Comput. Math. Appl.", year="2006", pages="1367–1376. ", volume="51" } @Article{Chen2010, author=" Y. Chen, Y. Yan, K. W. Zhang", title="On the local fractional derivative", journal=" J. Math. Anal. Appl.", year="2010", pages="17–33.", volume="362" }