TY - JOUR AU - Agarwal, P. PY - 2017 DA - 2017// TI - Some inequalities involving Hadamard-type k-fractional integral operators JO - Math. Methods Appl. Sci. VL - 40 ID - Agarwal2017 ER - TY - JOUR AU - Agarwal, P. AU - Al-Mdallal, Q. AU - Cho, Y. J. AU - Jain, S. PY - 2018 DA - 2018// TI - Fractional differential equations for the generalized Mittag-Leffler function JO - Adv. Differ. Equ. VL - 2018 ID - Agarwal2018 ER - TY - BOOK AU - Agarwal, P. AU - Dragomir, S. S. AU - Jleli, M. AU - Samet, B. PY - 2018 DA - 2018// TI - Advances in Mathematical Inequalities and Applications PB - Springer CY - Berlin ID - Agarwal2018 ER - TY - JOUR AU - Agarwal, P. AU - Jain, S. AU - Mansour, T. PY - 2017 DA - 2017// TI - Further extended Caputo fractional derivative operator and its applications JO - Russ. J. Math. Phys. VL - 24 ID - Agarwal2017 ER - TY - JOUR AU - Agarwal, R. P. AU - Ahmad, B. AU - Alsaedi, A. PY - 2017 DA - 2017// TI - Fractional-order differential equations with anti-periodic boundary conditions: a survey JO - Bound. Value Probl. VL - 2017 ID - Agarwal2017 ER - TY - JOUR AU - Ahmed, I. AU - Kumam, P. AU - Jarad, F. AU - Borisut, P. AU - Sitthithakerngkiet, K. AU - Ibrahim, A. PY - 2020 DA - 2020// TI - Stability analysis for boundary value problems with generalized nonlocal condition via Hilfer–Katugampola fractional derivative JO - Adv. Differ. Equ. VL - 2020 ID - Ahmed2020 ER - TY - JOUR AU - Ahmed, I. AU - Kumam, P. AU - Shah, K. AU - Borisut, P. AU - Sitthithakerngkiet, K. AU - Demba, M. A. PY - 2020 DA - 2020// TI - Stability results for implicit fractional pantograph differential equations via ϕ-Hilfer fractional derivative with a nonlocal Riemann–Liouville fractional integral condition JO - Mathematics VL - 8 ID - Ahmed2020 ER - TY - JOUR AU - Aimene, D. AU - Baleanu, D. AU - Seba, D. PY - 2019 DA - 2019// TI - Controllability of semilinear impulsive Atangana–Baleanu fractional differential equations with delay JO - Chaos Solitons Fractals VL - 128 ID - Aimene2019 ER - TY - JOUR AU - Ali, A. AU - Shah, K. AU - Baleanu, D. PY - 2019 DA - 2019// TI - Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations JO - Adv. Differ. Equ. VL - 2019 ID - Ali2019 ER - TY - JOUR AU - Anguraj, A. AU - Ravikumar, K. AU - Baleanu, D. PY - 2020 DA - 2020// TI - Approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps JO - Adv. Differ. Equ. VL - 2020 ID - Anguraj2020 ER - TY - JOUR AU - Annamalai, A. AU - Kandasamy, B. AU - Baleanu, D. AU - Arumugam, V. PY - 2018 DA - 2018// TI - On neutral impulsive stochastic differential equations with Poisson jumps JO - Adv. Differ. Equ. VL - 2018 ID - Annamalai2018 ER - TY - BOOK AU - Atanacković, T. M. AU - Pilipović, S. AU - Stanković, B. AU - Zorica, D. PY - 2014 DA - 2014// TI - Fractional Calculus with Applications in Mechanics PB - Wiley Online Library CY - New York ID - Atanacković2014 ER - TY - JOUR AU - Balachandran, K. AU - Kiruthika, S. AU - Trujillo, J. PY - 2013 DA - 2013// TI - Existence of solutions of nonlinear fractional pantograph equations JO - Acta Math. Sci. VL - 33 ID - Balachandran2013 ER - TY - JOUR AU - Bazgir, H. AU - Ghazanfari, B. PY - 2018 DA - 2018// TI - Existence of solutions for fractional integro-differential equations with non-local boundary conditions JO - Math. Comput. Appl. VL - 23 ID - Bazgir2018 ER - TY - JOUR AU - Belmekki, M. AU - Nieto, J. AU - Rodriguez-Lopez, R. PY - 2014 DA - 2014// TI - Existence of solution to a periodic boundary value problem for a nonlinear impulsive fractional differential equation JO - Electron. J. Qual. Theory Differ. Equ. VL - 2014 ID - Belmekki2014 ER - TY - JOUR AU - Borisut, P. AU - Kumam, P. AU - Ahmed, I. AU - Sitthithakerngkiet, K. PY - 2019 DA - 2019// TI - Nonlinear Caputo fractional derivative with nonlocal Riemann–Liouville fractional integral condition via fixed point theorems JO - Symmetry VL - 11 ID - Borisut2019 ER - TY - JOUR AU - Choi, J. AU - Agarwal, P. PY - 2016 DA - 2016// TI - A note on fractional integral operator associated with multiindex Mittag-Leffler functions JO - Filomat VL - 30 ID - Choi2016 ER - TY - JOUR AU - Derfel, G. AU - Iserles, A. PY - 1997 DA - 1997// TI - The pantograph equation in the complex plane JO - J. Math. Anal. Appl. VL - 213 ID - Derfel1997 ER - TY - JOUR AU - Ergören, H. AU - Kılıçman, A. PY - 2012 DA - 2012// TI - Non-local boundary value problems for impulsive fractional integro-differential equations in Banach spaces JO - Bound. Value Probl. VL - 2012 ID - Ergören2012 ER - TY - JOUR AU - Fec, M. AU - Zhou, Y. AU - Wang, J. PY - 2012 DA - 2012// TI - On the concept and existence of solution for impulsive fractional differential equations JO - Commun. Nonlinear Sci. Numer. Simul. VL - 17 ID - Fec2012 ER - TY - JOUR AU - Gaul, L. AU - Klein, P. AU - Kemple, S. PY - 1991 DA - 1991// TI - Damping description involving fractional operators JO - Mech. Syst. Signal Process. VL - 5 ID - Gaul1991 ER - TY - JOUR AU - Iserles, A. PY - 1993 DA - 1993// TI - On the generalized pantograph functional-differential equation JO - Eur. J. Appl. Math. VL - 4 ID - Iserles1993 ER - TY - JOUR AU - Iserles, A. AU - Liu, Y. PY - 1994 DA - 1994// TI - On pantograph integro-differential equations JO - J. Integral Equ. Appl. VL - 6 ID - Iserles1994 ER - TY - JOUR AU - Jain, S. AU - Agarwal, P. AU - Kilicman, A. PY - 2018 DA - 2018// TI - Pathway fractional integral operator associated with 3m-parametric Mittag-Leffler functions JO - Int. J. Appl. Comput. Math. VL - 5 ID - Jain2018 ER - TY - JOUR AU - Jarad, F. AU - Abdeljawad, T. PY - 2018 DA - 2018// TI - A modified Laplace transform for certain generalized fractional operators JO - Results Nonlinear Anal. VL - 1 ID - Jarad2018 ER - TY - STD TI - Kilbas, A.: Theory and applications of fractional differential equations ID - ref26 ER - TY - JOUR AU - Krasnoselskii, M. PY - 1955 DA - 1955// TI - Two remarks about the method of successive approximations JO - Usp. Mat. Nauk VL - 10 ID - Krasnoselskii1955 ER - TY - JOUR AU - Li, B. AU - Gou, H. PY - 2017 DA - 2017// TI - Existence of solutions for impulsive fractional evolution equations with periodic boundary condition JO - Adv. Differ. Equ. VL - 2017 ID - Li2017 ER - TY - JOUR AU - Li, D. AU - Liu, M. PY - 2005 DA - 2005// TI - Runge–Kutta methods for the multi-pantograph delay equation JO - Appl. Math. Comput. VL - 163 ID - Li2005 ER - TY - JOUR AU - Li, X. AU - Chen, F. AU - Li, X. PY - 2013 DA - 2013// TI - Generalized anti-periodic boundary value problems of impulsive fractional differential equations JO - Commun. Nonlinear Sci. Numer. Simul. VL - 18 ID - Li2013 ER - TY - JOUR AU - Liu, M. AU - Li, D. PY - 2004 DA - 2004// TI - Properties of analytic solution and numerical solution of multi-pantograph equation JO - Appl. Math. Comput. VL - 155 ID - Liu2004 ER - TY - JOUR AU - Liu, Y. PY - 2016 DA - 2016// TI - Survey and new results on boundary-value problems of singular fractional differential equations with impulse effects JO - Electron. J. Differ. Equ. VL - 2016 ID - Liu2016 ER - TY - BOOK AU - Magin, R. L. PY - 2006 DA - 2006// TI - Fractional Calculus in Bioengineering PB - Begell House CY - Redding ID - Magin2006 ER - TY - BOOK AU - Podlubny, I. PY - 1998 DA - 1998// TI - Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications PB - Elsevier CY - Amsterdam ID - Podlubny1998 ER - TY - BOOK AU - Rudolf, H. PY - 2000 DA - 2000// TI - Applications of Fractional Calculus in Physics PB - World Scientific CY - Singapore ID - Rudolf2000 ER - TY - BOOK AU - Samko, S. G. AU - Kilbas, A. A. AU - Marichev, O. I. PY - 1993 DA - 1993// TI - Fractional Integrals and Derivatives PB - Breach CY - Switzerland ID - Samko1993 ER - TY - JOUR AU - Sezer, M. AU - Şahin, N. PY - 2008 DA - 2008// TI - Approximate solution of multi-pantograph equation with variable coefficients JO - J. Comput. Appl. Math. VL - 214 ID - Sezer2008 ER - TY - JOUR AU - Sousa, J. V. D. C. AU - Oliveira, D. D. S. AU - Capelas de Oliveira, E. PY - 2019 DA - 2019// TI - On the existence and stability for noninstantaneous impulsive fractional integrodifferential equation JO - Math. Methods Appl. Sci. VL - 42 ID - Sousa2019 ER - TY - JOUR AU - Srivastava, H. AU - Agarwal, P. AU - Jain, S. PY - 2014 DA - 2014// TI - Generating functions for the generalized Gauss hypergeometric functions JO - Appl. Math. Comput. VL - 247 ID - Srivastava2014 ER - TY - BOOK AU - Stamova, I. AU - Stamov, G. PY - 2017 DA - 2017// TI - Functional and Impulsive Differential Equations of Fractional Order: Qualitative Analysis and Applications PB - CRC Press CY - Boca Raton ID - Stamova2017 ER - TY - JOUR AU - Suganya, S. AU - Mallika Arjunan, M. PY - 2017 DA - 2017// TI - Existence of mild solutions for impulsive fractional integro-differential inclusions with state-dependent delay JO - Mathematics VL - 5 ID - Suganya2017 ER - TY - JOUR AU - Tian, Y. AU - Bai, Z. PY - 2013 DA - 2013// TI - Impulsive boundary value problem for differential equations with fractional order JO - Differ. Equ. Dyn. Syst. VL - 21 ID - Tian2013 ER - TY - JOUR AU - ur Rehman, M. AU - Eloe, P. W. PY - 2013 DA - 2013// TI - Existence and uniqueness of solutions for impulsive fractional differential equations JO - Appl. Math. Comput. VL - 224 ID - ur Rehman2013 ER - TY - JOUR AU - Wang, G. AU - Ahmad, B. AU - Zhang, L. AU - Nieto, J. J. PY - 2014 DA - 2014// TI - Comments on the concept of existence of solution for impulsive fractional differential equations JO - Commun. Nonlinear Sci. Numer. Simul. VL - 19 ID - Wang2014 ER - TY - JOUR AU - Wang, J. AU - Feckan, M. AU - Zhou, Y. PY - 2013 DA - 2013// TI - Presentation of solutions of impulsive fractional Langevin equations and existence results JO - Eur. Phys. J. Spec. Top. VL - 222 ID - Wang2013 ER - TY - JOUR AU - Wang, J. AU - Fečkan, M. AU - Zhou, Y. PY - 2016 DA - 2016// TI - A survey on impulsive fractional differential equations JO - Fract. Calc. Appl. Anal. VL - 19 ID - Wang2016 ER - TY - JOUR AU - Wang, J. AU - Lin, Z. PY - 2014 DA - 2014// TI - On the impulsive fractional anti-periodic BVP modelling with constant coefficients JO - J. Appl. Math. Comput. VL - 46 ID - Wang2014 ER - TY - JOUR AU - Wei, W. AU - Xiang, X. AU - Peng, Y. PY - 2006 DA - 2006// TI - Nonlinear impulsive integro-differential equations of mixed type and optimal controls JO - Optimization VL - 55 ID - Wei2006 ER - TY - JOUR AU - Wu, G. -. C. AU - Baleanu, D. AU - Huang, L. -. L. PY - 2018 DA - 2018// TI - Novel Mittag-Leffler stability of linear fractional delay difference equations with impulse JO - Appl. Math. Lett. VL - 82 ID - Wu2018 ER - TY - JOUR AU - Wu, G. -. C. AU - Zeng, D. -. Q. AU - Baleanu, D. PY - 2019 DA - 2019// TI - Fractional impulsive differential equations: exact solutions, integral equations and short memory case JO - Fract. Calc. Appl. Anal. VL - 22 ID - Wu2019 ER - TY - JOUR AU - Yang, L. AU - Chen, H. PY - 2011 DA - 2011// TI - Nonlocal boundary value problem for impulsive differential equations of fractional order JO - Adv. Differ. Equ. VL - 2011 ID - Yang2011 ER - TY - JOUR AU - Yang, S. AU - Zhang, S. PY - 2017 DA - 2017// TI - Boundary value problems for impulsive fractional differential equations in Banach spaces JO - Filomat VL - 31 ID - Yang2017 ER - TY - JOUR AU - Yu, Z. -. H. PY - 2008 DA - 2008// TI - Variational iteration method for solving the multi-pantograph delay equation JO - Phys. Lett. A VL - 372 ID - Yu2008 ER - TY - JOUR AU - Zhao, K. AU - Gong, P. PY - 2014 DA - 2014// TI - Positive solutions for impulsive fractional differential equations with generalized periodic boundary value conditions JO - Adv. Differ. Equ. VL - 2014 ID - Zhao2014 ER - TY - JOUR AU - Zou, Y. AU - Cui, Y. PY - 2013 DA - 2013// TI - Existence results for a functional boundary value problem of fractional differential equations JO - Adv. Differ. Equ. VL - 2013 ID - Zou2013 ER - TY - JOUR AU - Zuo, M. AU - Hao, X. AU - Liu, L. AU - Cui, Y. PY - 2017 DA - 2017// TI - Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions JO - Bound. Value Probl. VL - 2017 ID - Zuo2017 ER -