%0 Book %T Semigroups of Linear Operators and Applications to Partial Differential Equations %A A. Pazy %D 1983 %I Springer-Verlag %C %F Pazy1983 %0 Book %T Fractional differential equations %A I. Podlubny %D 1999 %I Academic Press %C %F Podlubny 1999 %0 Book %T Theory of fractional dynamic systems %A V. Lakshmikantham %A S. Leela %A J. Devi Vasundhara %D 2009 %I Cambridge Scientific Publishers %C %F Lakshmikantham2009 %0 Book %T The analysis of fractional differential equations %A K. Diethelm %D 2010 %I Lecture notes in mathematics %C Berlin Heidelberg: Springer-Verlag %F Diethelm2010 %0 Book %T Theory and applications of fractional differential equations %A A. Anatoly Kilbas %A H. M. Srivastava %A J. J. Trujillo %D 2006 %I B.V.: Elsevier Science %C %F Kilbas2006 %0 Book %T An introduction to the fractional calculus and differential equations %A KS. Miller %A B. Ross %D 1993 %I John Wiley %C %F Miller1993 %0 Journal Article %T Abstract fractional Cauchy problems with almost sectorial operators %A N. Rong Wang %A De-H. Chen %A Ti-J. Xiao %J J. Differential Equations %D 2012 %V 252 %F Wang2012 %0 Journal Article %T On the initial value problem for the fractional diffusion-wave equation %A F. Mainardi %J Ser. Adv. Math. Appl. Sci. %D 1994 %V 23 %F Mainardi 1994 %0 Journal Article %T The time fractional diffusion-wave equation %A F. Mainardi %J Radiophys. and Quantum Electronics %D 1995 %V 38 %F Mainardi1995 %0 Journal Article %T The functions of the Wright type in fractional calculus %A F. Mainardi %A A. Mura %A G. Pagnini %J Lecture Notes of Seminario Interdisciplinare di Mathematica %D 2010 %V 9 %F Mainardi2010 %0 Journal Article %T On Mittag-Leffler-type functions in fractional evolution processes. Higher transcendental functions and their applications %A F. Mainardi %A R. Goren o %J J. Comput. Appl. Math. %D 2000 %V 118 %F Mainardi2000 %0 Journal Article %T The M-Wright function in time-fractional diffusion processes: a tutorial survey %A F. Mainardi %A A. Mura %A G. Pagnini %J Int. J. Differ. Equ. %D 2010 %V %F Mainardi2010 %0 Journal Article %T The representation of \(e^{-x^\lambda}\) as a Laplace integral %A H. Pollard %J Bull. Amer. Math. Soc. %D 1946 %V 52 %F Pollard 1946 %0 Journal Article %T Some probability densities and fundamental solutions of fractional evolution equations %A M. El-Borai %J Chaos Solitons Fractals %D 2002 %V 14 %F El-Borai2002 %0 Book %T Derivatives of non-integer order and their applications %A M. W. Michalski %D 1993 %I Dissertationes mathematicae %C Inst Math Polish Acad Sci %F Michalski 1993 %0 Journal Article %T On a new class of abstract impulsive differential equations %A E. Hernández %A D. O'Regan %J Proc. Amer. Math. Soc. %D 2013 %V 141 %F Hernández2013 %0 Book %T Impulsive differential equations and inclusions %A M. Benchohra %A J. Henderson %A S. Ntouyas %D 2006 %I Contemporary Mathematics and Its Applications, Hindawi Publishing Corporation %C New York %F Benchohra2006 %0 Journal Article %T On the new concept of solutions and existence results for impulsive fractional evolution equations %A J. Wang %A M. Fečkan %A Y. Zhou %J Dyn. Partial Differ. Equ. %D 2011 %V 8 %F Wang2011 %0 Journal Article %T On the natural solution of an impulsive fractional differential equation of order \(q \in (1; 2)\) %A J. Wang %A X. Li %A W. Wei %J Commun. Nonlinear Sci. Numer. Simul. %D 2012 %V 17 %F Wang2012 %0 Journal Article %T Generalized anti-periodic boundary value problems of impulsive fractional differential equations %A X. Li %A F. Chen %A Xuezhu Li %J Commun. Nonlinear Sci. Numer. Simul. %D 2013 %V 18 %F Li2013 %0 Journal Article %T Existence results for impulsive systems with nonlocal conditions in Banach spaces %A V. Kavitha %A M. Mallika Arjunan %A C. Ravichandran %J J. Nonlinear Sci. Appl. %D 2011 %V 4 %F Kavitha2011 %0 Journal Article %T Existence results for impulsive neutral functional integrodifferential equation with infinite delay %A T. Gunasekar %A F. P. Samuel %A M. Mallika Arjunan %J J. Nonlinear Sci. Appl. %D 2013 %V 6 %F Gunasekar2013 %0 Journal Article %T Existence results for an impulsive neutral functional differential equation with state-dependent delay %A A. Anguraj %A M. Mallika Arjunan %A E. M. Hernández %J Appl.Anal. %D 2007 %V 86 %F Anguraj2007 %0 Journal Article %T Mild solutions for impulsive neutral functional differential equations with state- dependent delay %A C. Cuevas %A G. N'Guérékata %A M. Rabelo %J Semigroup Forum %D 2010 %V 80 %F Cuevas2010 %0 Journal Article %T Existence results for an impulsive second order differential equation with state-dependent delay %A E. Hernández %A A. Anguraj %A M. Mallika Arjunan %J Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. %D 2010 %V 17 %F Hernández2010 %0 Journal Article %T Existence results for impulsive neutral functional differential equation with state-dependent delay %A M. Maliika Arjunan %A V. Kavitha %J Electorn. J. Qual. Theory Differ. Equ. %D 2009 %V %F Arjunan2009 %0 Journal Article %T Existence results for impulsive neutral functional differential equations with infinite delay %A Y. K. Chang %A A. Anguraj %A M. Mallika Arjunan %J Nonlinear Anal. Hybrid Syst. %D 2008 %V 2 %F Chang2008 %0 Journal Article %T Existence of solutions for impulsive neutral integro-differential inclusions with nonlocal initial conditions via fractional operators %A Y. K. Chang %A J. Juan Nieto %J Funct. Anal. Optim. %D 2009 %V 30 %F Chang2009 %0 Journal Article %T New result for a class of impulsive differential equation with integral boundary conditions %A W. Ding %A Yu. Wang %J Commun. Nonlinear Sci. Numer. Simul. %D 2013 %V 18 %F Ding2013 %0 Journal Article %T Existence result for boundary value problem of nonlinear impulsive fractional differential equation at resonance %A Ch. Bai %J J. Appl. Math. Comput. %D 2012 %V 39 %F Bai2012 %0 Journal Article %T Existence and uniqueness of mild solutions to impulsive fractional differential equations %A M. Gisle Mophou %J Nonlinear Anal. %D 2010 %V 72 %F Mophou 2010 %0 Journal Article %T Existence of solutions for impulsive differential models on half lines involving Caputo fractional derivatives %A Y. Liu %J Commun. Nonlinear Sci. Numer. Simul. %D 2013 %V 18 %F Liu2013 %0 Journal Article %T On impulsive boundary value problems of fractional differential equations with irregular boundary conditions %A G. Wang %A B. Ahmad %A L. Zhang %J Abstr. Appl. Anal. %D 2012 %V %F Wang2012 %0 Journal Article %T Controllability of fractional evolution nonlocal impulsive quasilinear delay integro- differential systems %A A. Debbouche %A D. Baleanu %J Comput. Math. Appl. %D 2011 %V 62 %F Debbouche2011 %0 Journal Article %T Existence of integro-differential solutions for a class of abstract partial impulsive differential equations %A N. Marcos Rabelo %A M. Henrique %A G. Siracusa %J J. Inequal. Appl. %D 2011 %V %F Rabelo2011 %0 Journal Article %T Multiple solutions of nonlinear impulsive differential equations with Dirichlet boundary conditions via variational method %A D. Zhang %J Results Math. %D 2013 %V 63 %F Zhang2013 %0 Journal Article %T Existence and controllability results for fractional semilinear differential inclusions %A J. Wang %A Y. Zhou %J Nonlinear Anal. Real World Appl. %D 2011 %V 12 %F Wang2011 %0 Journal Article %T Existence results for impulsive semilinear neutral functional differential equations in Banach spaces %A M. Benchohra %A J. Henderson %A S. K. Ntouyas %J Differential Equations Math. Phys. %D 2002 %V 25 %F Benchohra2002