%0 Journal Article %T Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations %A B. Ahmad %A S. Sivasundaram %J Nonlinear Anal. Hybrid Syst. %D 2009 %V 3 %F Ahmad2009 %0 Journal Article %T Existence of solutions of abstract fractional impulsive semilinear evolution equations %A K. Balachandran %A S. Kiruthika %J Electron. J. Qual. Theory Differ. Equ. %D 2010 %V 2010 %F Balachandran2010 %0 Journal Article %T Existence of solution to a periodic boundary value problem for a nonlinear impulsive fractional differential equation %A M. Belmekki %A J. J. Nieto %A R. Rodrguez-Lpez %J Electron. J. Qual. Theory Differ. Equ. %D 2014 %V 2014 %F Belmekki2014 %0 Journal Article %T Impulsive fractional differential equations in Banach spaces %A M. Benchohra %A D. Seba %J Electron. J. Qual. Theory Differ. Equ. %D 2009 %V 2009 %F Benchohra2009 %0 Journal Article %T Existence results for initial value problems with integral condition for impulsive fractional differential equations %A Y. Chang %A A. Anguraj %A P. Karthikeyan %J J. Fract. Calc. Appl. %D 2012 %V 7 %F Chang2012 %0 Book %T The analysis of fractional differential equations %A K. Diethelm %D 2010 %I Springer-Verlag %C Berlin %F Diethelm2010 %0 Journal Article %T On the concept and existence of solution for impulsive fractional differential equations %A M. Feckan %A Y. Zhou %A J. R. Wang %J Commun. Nonlinear Sci. Numer. Simul. %D 2012 %V 17 %F Feckan2012 %0 Journal Article %T Wavelet Methods for Solving Fractional Order Differential Equations %A A. K. Gupta %A S. S. Ray %J Math. Probl. Eng. %D 2014 %V 2014 %F Gupta2014 %0 Journal Article %T An Overview of Haar Wavelet Method for Solving Differential and Integral Equations %A G. Hariharan %A K. Kannan %J World Appl. Sci. J. %D 2013 %V 23 %F Hariharan2013 %0 Book %T Theory of fractional dynamic systems %A V. Lakshmikantham %A S. Leela %A D. J. Vasundhara %D 2009 %I Cambridge Scientic Publishers %C %F Lakshmikantham2009 %0 Book %T Theory and applications of fractional differential equations %A A. A. Kilbas %A H. M. Srivastava %A J. J. Trujillo %D 2006 %I Elsevier Science B. V. %C Amsterdam %F Kilbas2006 %0 Journal Article %T Analysis of Caputo impulsive fractional order differential equations with applications %A L. Mahto %A S. Abbas %A A. Favini %J Int. J. Differ. Equ. %D 2013 %V 2013 %F Mahto2013 %0 Journal Article %T Derivatives of noninteger order and their applications %A M. W. Michalski %J Dissertationes Math. (Rozprawy Mat.) %D 1993 %V 328 %F Michalski1993 %0 Book %T An introduction to the fractional calculus and differential equations %A K. S. Miller %A B. Ross %D 1993 %I John Wiley & Sons %C New York %F Miller1993 %0 Journal Article %T Solving Fractional Partial Differential Equation by Using Wavelet Operational Method %A A. Neamaty %A B. Agheli %A R. Darzi %J J. Math. Comput. Sci. %D 2013 %V 7 %F Neamaty2013 %0 Book %T The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order %A K. B. Oldham %A J. Spanier %D 1974 %I Academic Press %C New York-London %F Oldham1974 %0 Book %T Fractional differential equations %A I. Podlubny %D 1999 %I Academic Press %C San Diego %F Podlubny1999 %0 Journal Article %T Numerical solution of impulsive differential equations %A B. M. Randelovic %A L. V. Stefanovic %A B. M. Dankovic %J Facta Univ. Ser. Math. Inform. %D 2000 %V 15 %F Randelovic2000 %0 Journal Article %T An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method %A S. S. Ray %A R. K. Bera %J Appl. Math. Comput. %D 2005 %V 167 %F Ray2005 %0 Journal Article %T An operational haarwavelet method for solving fractional volterra integral equations %A H. Saeedi %A N. Mollahasani %A M. M. Moghadam %A G. N. Chuev %J Int. J. Appl. Math. Comput. Sci. %D 2011 %V 21 %F Saeedi2011 %0 Journal Article %T Fractional dynamics %A V. E. Tarasov %J Springer %D 2010 %V %F Tarasov2010 %0 Book %T On the natural solution of an impulsive fractional differential equation of order q 2 (1, 2) %A J. R. Wang %A X. Z. Li %A W. Wei %D 2012 %I Commun. Nonlinear Sci. Numer. Simul., 17 %C 4384–4394. %F Wang2012 %0 Journal Article %T Systems of first order impulsive functional differential equations with deviating arguments and nonlinear boundary conditions %A G. T. Wang %A L. H. Zhang %A G. X. Song %J Nonlinear Anal. %D 2011 %V 74 %F Wang 2011 %0 Journal Article %T Stability and convergence of an effective numerical method for the time-space fractional Fokker-Planck equation with a nonlinear source term %A Q. Q. Yang %A F. W. Liu %A I. Turner %J Int. J. Differ. Equ. %D 2012 %V 2012 %F Yang2012 %0 Journal Article %T Numerical treatment for the fractional Fokker-Planck equation %A P. Zhuang %A F. Liu %A V. Anh %A I. Turner %J ANZIAM J. %D 2006–2007 %V 48 %F Zhuang2006–2007