Solutions for impulsive fractional pantograph differential equation via generalized anti-periodic boundary condition

[1]  P. Kumam,et al.  Stability analysis for boundary value problems with generalized nonlocal condition via Hilfer–Katugampola fractional derivative , 2020 .

[2]  A. Anguraj,et al.  Approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps , 2020, Advances in Difference Equations.

[3]  K. Shah,et al.  Stability Results for Implicit Fractional Pantograph Differential Equations via ϕ-Hilfer Fractional Derivative with a Nonlocal Riemann-Liouville Fractional Integral Condition , 2020, Mathematics.

[4]  K. Shah,et al.  Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations , 2019, Advances in Difference Equations.

[5]  D. Seba,et al.  Controllability of semilinear impulsive Atangana-Baleanu fractional differential equations with delay , 2019, Chaos, Solitons & Fractals.

[6]  Poom Kumam,et al.  Nonlinear Caputo Fractional Derivative with Nonlocal Riemann-Liouville Fractional Integral Condition Via Fixed Point Theorems , 2019, Symmetry.

[7]  D. Baleanu,et al.  Fractional impulsive differential equations: Exact solutions, integral equations and short memory case , 2019, Fractional Calculus and Applied Analysis.

[8]  Y. Cho,et al.  Fractional differential equations for the generalized Mittag-Leffler function , 2018 .

[9]  T. Abdeljawad,et al.  A modifi ed Laplace transform for certain generalized fractional operators , 2018 .

[10]  D. Baleanu,et al.  On neutral impulsive stochastic differential equations with Poisson jumps , 2018, Advances in Difference Equations.

[11]  A. Kılıçman,et al.  Pathway Fractional Integral Operator Associated with 3m-Parametric Mittag-Leffler Functions , 2018, International Journal of Applied and Computational Mathematics.

[12]  Dumitru Baleanu,et al.  Novel Mittag-Leffler stability of linear fractional delay difference equations with impulse , 2018, Appl. Math. Lett..

[13]  B. Ghazanfari,et al.  Existence of Solutions for Fractional Integro-Differential Equations with Non-Local Boundary Conditions , 2018, Mathematical and Computational Applications.

[14]  D. S. Oliveira,et al.  On the existence and stability for noninstantaneous impulsive fractional integrodifferential equation , 2018, Mathematical Methods in the Applied Sciences.

[15]  Toufik Mansour,et al.  Further extended Caputo fractional derivative operator and its applications , 2017 .

[16]  Yujun Cui,et al.  Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions , 2017 .

[17]  R. Agarwal,et al.  Fractional-order differential equations with anti-periodic boundary conditions: a survey , 2017 .

[18]  Haide Gou,et al.  Existence of solutions for impulsive fractional evolution equations with periodic boundary condition , 2017 .

[19]  P. Agarwal.  Some inequalities involving Hadamard‐type k‐fractional integral operators , 2017 .

[20]  M. Arjunan,et al.  Existence of Mild Solutions for Impulsive Fractional Integro-Differential Inclusions with State-Dependent Delay , 2017 .

[21]  Ivanka M. Stamova,et al.  Functional and Impulsive Differential Equations of Fractional Order: Qualitative Analysis and Applications , 2016 .

[22]  Junesang Choi,et al.  A Note on Fractional Integral Operator Associated with Multiindex Mittag-Leffler Functions , 2016 .

[23]  Michal Fečkan,et al.  A survey on impulsive fractional differential equations , 2016 .

[24]  Hari M. Srivastava,et al.  Generating functions for the generalized Gauss hypergeometric functions , 2014, Appl. Math. Comput..

[25]  Jinrong Wang,et al.  On the impulsive fractional anti-periodic BVP modelling with constant coefficients , 2014 .

[26]  Ping Gong,et al.  Positive solutions for impulsive fractional differential equations with generalizedperiodic boundary value conditions , 2014 .

[27]  Stevan Pilipović,et al.  Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles , 2014 .

[28]  D. Zorica,et al.  Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes , 2014 .

[29]  Bashir Ahmad,et al.  Comments on the concept of existence of solution for impulsive fractional differential equations , 2014, Commun. Nonlinear Sci. Numer. Simul..

[30]  Mujeeb ur Rehman,et al.  Existence and uniqueness of solutions for impulsive fractional differential equations , 2013, Appl. Math. Comput..

[31]  Y. Zhou,et al.  Presentation of solutions of impulsive fractional Langevin equations and existence results , 2013 .

[32]  Yujun Cui,et al.  Existence results for a functional boundary value problem of fractional differential equations , 2013 .

[33]  Zhanbing Bai,et al.  Impulsive Boundary Value Problem for Differential Equations with Fractional Order , 2013 .

[34]  Krishnan Balachandran,et al.  EXISTENCE OF SOLUTIONS OF NONLINEAR FRACTIONAL PANTOGRAPH EQUATIONS , 2013 .

[35]  A. Kılıçman,et al.  Non-local boundary value problems for impulsive fractional integro-differential equations in Banach spaces , 2012 .

[36]  Yong Zhou,et al.  On the concept and existence of solution for impulsive fractional differential equations , 2012 .

[37]  Liu Yang,et al.  Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order , 2011 .

[38]  Zhanhua Yu.  Variational iteration method for solving the multi-pantograph delay equation , 2008 .

[39]  Mehmet Sezer,et al.  Approximate solution of multi-pantograph equation with variable coefficients , 2008 .

[40]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations , 2006 .

[41]  X. Xiang,et al.  Nonlinear impulsive integro-differential equations of mixed type and optimal controls , 2006 .

[42]  D. Li,et al.  Runge-Kutta methods for the multi-pantograph delay equation , 2005, Appl. Math. Comput..

[43]  M. Z. Liu,et al.  Properties of analytic solution and numerical solution of multi-pantograph equation , 2004, Appl. Math. Comput..

[44]  R. Hilfer.  Applications Of Fractional Calculus In Physics , 2000 .

[45]  Arieh Iserles,et al.  The Pantograph Equation in the Complex Plane , 1997 .

[46]  Arieh Iserles,et al.  On Pantograph Integro-Differential Equations , 1994 .

[47]  Arieh Iserles,et al.  On the generalized pantograph functional-differential equation , 1993, European Journal of Applied Mathematics.

[48]  L. Gaul,et al.  Damping description involving fractional operators , 1991 .

[49]  Shuqin Zhang,et al.  Boundary value problems for impulsive fractional differential equations in Banach spaces , 2017 .

[50]  J. Nieto,et al.  Existence of solution to a periodic boundary value problem for a nonlinear impulsive fractional differential equation , 2014 .

[51]  Fulai Chen,et al.  Generalized anti-periodic boundary value problems of impulsive fractional differential equations , 2013, Commun. Nonlinear Sci. Numer. Simul..

[52]  Mehdi Dalir,et al.  Applications of Fractional Calculus , 2010 .

[53]  R. Magin.  Fractional Calculus in Bioengineering , 2006 .

[54]  I. Podlubny.  Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications , 1999 .