Edit Profile (opens in new tab) Debbouche, Amar Co-Author Distance Author ID: debbouche.amar Published as: Debbouche, Amar; Debbouche, A. Documents Indexed: 63 Publications since 2009 6 Contributions as Editor Co-Authors: 71 Co-Authors with 66 Joint Publications 3,546 Co-Co-Authors all top 5 Co-Authors 3 single-authored 7 Torres, Delfim Fernando Marado 7 Wang, Jinrong 6 Băleanu, Dumitru I. 6 Nieto Roig, Juan Jose 5 Shangerganesh, Lingeshwaran 5 Zhou, Yong 4 Kumar, Vipin 4 Manimaran, Jeyaraj 3 Abbas, Syed 3 Antonov, Valery 3 El-Borai, Mahmoud Mohamed 3 Fëdorov, Vladimir Evgen’evich 3 Kerboua, Mourad 3 Malik, Muslim 3 Vadivoo, B. Sundara 2 Almalki, Yahya 2 Bragdi, Mabrouk 2 Fečkan, Michal 2 Harrat, Aicha 2 Jothilakshmi, G. 2 Kirane, Mokhtar 2 Lavanya, M. 2 Liu, Shengda 2 Nguyen Huy Tuan 2 Peng, Li 2 Sakthivel, Rathinasamy 1 Agarwal, Ravi P. 1 Anguelov, Roumen 1 Banasiak, Jacek 1 Burgos, Clara 1 Cao, Junfei 1 Chakraborty, Sudip 1 Chen, Qian 1 Cortés López, Juan Carlos 1 David, Sergio Adriani 1 Derdar, Nedjemeddine 1 Dhama, Soniya 1 Dhayal, Rajesh 1 Guechi, Sarra 1 Hakkar, N. 1 Haouam, Kamel 1 Hernández, Eduardo M. 1 Kadem, Abdelouahab 1 Khan, Rahmat Ali 1 Kim, Hyunsoo 1 Kostić, Marko 1 Kumar Roy, Priti 1 Li, Mengmeng 1 Lizama, Carlos 1 Luo, Zijian 1 Mahmudov, Nazim Idrisoglu 1 Martha, Subash Chandra 1 Meneceur, Bekkar 1 Nazir, Ghazala 1 Ngoc, Tran Bao 1 Nguyen, Anh-Tuan 1 Polovinkin, Igor P. 1 Polovinkina, Marina V. 1 Ren, Yong 1 Romanova, E. A. 1 Shah, Kamal 1 Sowndarrajan, Puthur Thangaraj 1 Streletskaya, Elizaveta M. 1 Subbaiyan, Saranya 1 Tridane, Abdessamad 1 Tyagi, Swati 1 Villafuerte, Laura 1 Villanueva, Rafael-Jacinto 1 Yagola, Anatoliĭ Grigor’evich 1 Yang, Xiao-Jun 1 Yu, Xiulan all top 5 Serials 10 Mathematical Methods in the Applied Sciences 9 Journal of Computational and Applied Mathematics 7 Chaos, Solitons and Fractals 5 Applied Mathematics and Computation 4 Nonlinear Studies 2 Computers & Mathematics with Applications 2 Journal of Optimization Theory and Applications 2 Electronic Journal of Differential Equations (EJDE) 2 Advances in Difference Equations 2 International Journal of Contemporary Mathematical Sciences 1 Applicable Analysis 1 International Journal of Control 1 Mathematische Nachrichten 1 Optimization 1 IMA Journal of Mathematical Control and Information 1 Computational and Applied Mathematics 1 Abstract and Applied Analysis 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Fractional Calculus & Applied Analysis 1 Fundamenta Informaticae 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Differential Equations 1 Journal of Applied Mathematics 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Mediterranean Journal of Mathematics 1 Miskolc Mathematical Notes 1 Boundary Value Problems 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Dynamical Systems and Differential Equations 1 Advances in Mathematical Physics 1 Journal of Nonlinear Evolution Equations and Applications 1 International Journal of Advances in Applied Mathematics and Mechanics 1 Matematicheskie Zametki SVFU 1 Sibirskiĭ Zhurnal Chistoĭ i Prikladnoĭ Matematiki all top 5 Fields 45 Ordinary differential equations (34-XX) 24 Systems theory; control (93-XX) 21 Partial differential equations (35-XX) 18 Real functions (26-XX) 10 Operator theory (47-XX) 8 Integral equations (45-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Probability theory and stochastic processes (60-XX) 8 Biology and other natural sciences (92-XX) 6 General and overarching topics; collections (00-XX) 6 Numerical analysis (65-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 950 times in 643 Documents Cited by ▼ Year ▼ Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems. Zbl 1228.45013Debbouche, Amar; Baleanu, Dumitru 117 2011 Sobolev type fractional abstract evolution equations with nonlocal conditions and optimal multi-controls. Zbl 1335.34014Debbouche, Amar; Nieto, Juan J. 57 2014 Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions. Zbl 1350.93018Sakthivel, R.; Ren, Yong; Debbouche, Amar; Mahmudov, N. I. 57 2016 Sobolev type fractional dynamic equations and optimal multi-integral controls with fractional nonlocal conditions. Zbl 1321.49007Debbouche, Amar; Torres, Delfim F. M. 47 2015 Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions. Zbl 1335.34094Debbouche, Amar; Torres, Delfim F. M. 45 2014 A class of time-fractional reaction-diffusion equation with nonlocal boundary condition. Zbl 1391.35404Zhou, Yong; Shangerganesh, L.; Manimaran, J.; Debbouche, Amar 41 2018 Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces. Zbl 1278.93049Debbouche, Amar; Torres, Delfim F. M. 38 2013 Nonlocal nonlinear integrodifferential equations of fractional orders. Zbl 1277.35337Debbouche, Amar; Baleanu, Dumitru; Agarwal, Ravi P. 38 2012 Approximate controllability of semilinear Hilfer fractional differential inclusions with impulsive control inclusion conditions in Banach spaces. Zbl 1374.93048Debbouche, Amar; Antonov, Valery 33 2017 On the iterative learning control for stochastic impulsive differential equations with randomly varying trial lengths. Zbl 1351.65005Liu, Shengda; Debbouche, Amar; Wang, JinRong 33 2017 Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential. Zbl 1393.49026Harrat, Aicha; Nieto, Juan J.; Debbouche, Amar 28 2018 ILC method for solving approximate controllability of fractional differential equations with noninstantaneous impulses. Zbl 1390.93151Liu, Shengda; Debbouche, Amar; Wang, JinRong 27 2018 Approximate controllability of Sobolev type fractional stochastic nonlocal nonlinear differential equations in Hilbert spaces. Zbl 1324.93020Kerboua, Mourad; Debbouche, Amar; Baleanu, Dumitru 25 2014 Optimal solutions to relaxation in multiple control problems of Sobolev type with nonlocal nonlinear fractional differential equations. Zbl 1377.49012Debbouche, Amar; Nieto, Juan J.; Torres, Delfim F. M. 23 2017 Approximate controllability of Sobolev type nonlocal fractional stochastic dynamic systems in Hilbert spaces. Zbl 1291.93039Kerboua, Mourad; Debbouche, Amar; Baleanu, Dumitru 20 2013 Optimal controls for second-order stochastic differential equations driven by mixed-fractional Brownian motion with impulses. Zbl 1448.49034Dhayal, Rajesh; Malik, Muslim; Abbas, Syed; Debbouche, Amar 20 2020 Relative controllability in fractional differential equations with pure delay. Zbl 1406.34013Li, Mengmeng; Debbouche, Amar; Wang, Jinrong 18 2018 Exact null controllability for fractional nonlocal integrodifferential equations via implicit evolution system. Zbl 1251.93029Debbouche, Amar; Baleanu, Dumitru 17 2012 Existence of solutions for fractional differential inclusions with separated boundary conditions in Banach space. Zbl 1272.34007Bragdi, Mabrouk; Debbouche, Amar; Baleanu, Dumitru 17 2013 Weak almost periodic and optimal mild solutions of fractional evolution equations. Zbl 1171.34331Debbouche, Amar; El-Borai, Mahmoud M. 17 2009 Existence and regularity of final value problems for time fractional wave equations. Zbl 1442.35528Tuan, Nguyen Huy; Debbouche, Amar; Ngoc, Tran Bao 15 2019 Time optimal control of a system governed by non-instantaneous impulsive differential equations. Zbl 1421.49006Wang, JinRong; Fečkan, Michal; Debbouche, Amar 13 2019 Random fractional generalized Airy differential equations: a probabilistic analysis using mean square calculus. Zbl 1428.34010Burgos, C.; Cortés, J.-C.; Debbouche, A.; Villafuerte, L.; Villanueva, R.-J. 12 2019 Relaxation in controlled systems described by fractional integro-differential equations with nonlocal control conditions. Zbl 1311.93039Debbouche, Amar; Nieto, Juan J. 12 2015 Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations. Zbl 1495.35193Kim, Hyunsoo; Sakthivel, Rathinasamy; Debbouche, Amar; Torres, Delfim F. M. 11 2020 Analytic in a sector resolving families of operators for degenerate evolution fractional equations. Zbl 1399.34012Fedorov, V. E.; Romanova, E. A.; Debbouche, Amar 11 2016 A class of degenerate fractional evolution systems in Banach spaces. Zbl 1296.34018Fedorov, V. E.; Debbouche, A. 11 2013 Finite-dimensional diffusion models of heat transfer in fractal mediums involving local fractional derivatives. Zbl 1375.80018Debbouche, Amar; Antonov, Valery 10 2017 Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy. Zbl 1446.65116Manimaran, J.; Shangerganesh, L.; Debbouche, Amar 9 2021 Total controllability of neutral fractional differential equation with non-instantaneous impulsive effects. Zbl 1448.93029Kumar, Vipin; Malik, Muslim; Debbouche, Amar 9 2021 On the iterative learning control of fractional impulsive evolution equations in Banach spaces. Zbl 1376.93048Yu, Xiulan; Debbouche, Amar; Wang, Jinrong 8 2017 Study of HIV mathematical model under nonsingular kernel type derivative of fractional order. Zbl 1490.92040Nazir, Ghazala; Shah, Kamal; Debbouche, Amar; Khan, Rahmat Ali 8 2020 Stability and controllability analysis of fractional damped differential system with non-instantaneous impulses. Zbl 1474.34384Kumar, Vipin; Malik, Muslim; Debbouche, Amar 8 2021 Complete controllability of nonlocal fractional stochastic differential evolution equations with Poisson jumps in Hilbert spaces. Zbl 1359.93052Kerboua, Mourad; Debbouche, Amar 7 2015 A time-fractional competition ecological model with cross-diffusion. Zbl 1445.35309Manimaran, J.; Shangerganesh, L.; Debbouche, Amar 7 2020 Impulsive fractional differential equations with Riemann-Liouville derivative and iterative learning control. Zbl 1374.34314Chen, Qian; Debbouche, Amar; Luo, Zijian; Wang, JinRong 6 2017 Weakness and Mittag-Leffler stability of solutions for time-fractional Keller-Segel models. Zbl 1461.35218Zhou, Y.; Manimaran, J.; Shangerganesh, L.; Debbouche, A. 6 2018 The Cauchy problem for distributed order equations in Banach spaces. Zbl 1438.34053Streletskaya, E. M.; Fedorov, V. E.; Debbouche, Amar 6 2018 On some fractional integro-differential equations with analytic semigroups. Zbl 1193.34164El-Borai, Mahmoud M.; Debbouche, Amar 6 2009 Almost periodic solutions of some nonlinear fractional differential equations. Zbl 1201.34009El-Borai, Mahmoud M.; Debbouche, Amar 5 2009 Mathematical modeling and analysis for controlling the spread of infectious diseases. Zbl 1498.92007Tyagi, Swati; Martha, Subash C.; Abbas, Syed; Debbouche, Amar 5 2021 Approximation techniques of optimal control problems for fractional dynamic systems in separable Hilbert spaces. Zbl 1442.49007Peng, Li; Zhou, Yong; Debbouche, Amar 5 2019 Blowing-up solutions to two-times fractional differential equations. Zbl 1284.35087Kirane, Mokhtar; Kadem, Abdelouhab; Debbouche, Amar 4 2013 Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems. Zbl 1267.45020Debbouche, Amar 4 2011 Existence and approximations of solutions for time-fractional Navier-Stokes equations. Zbl 1406.35474Peng, Li; Debbouche, Amar; Zhou, Yong 4 2018 The international conference ‘Mathematical and computational modelling in science and technology’. Zbl 1355.00030 4 2017 Sobolev type fractional delay impulsive equations with alpha-Sobolev resolvent families and integral conditions. Zbl 1301.34103Harrat, Aicha; Debbouche, Amar 3 2013 Editorial: Modern fractional dynamic systems and applications, MFDSA 2017. Special issue in honor of: R. P. Agarwal, D. Baleanu, J. J. Nieto, D. F. M. Torres and Y. Zhou. Highly cited researchers in the field. Zbl 1395.00039 3 2018 Asymptotically almost periodicity for a class of Weyl-Liouville fractional evolution equations. Zbl 1400.34004Cao, Junfei; Debbouche, Amar; Zhou, Yong 3 2018 Approximate controllability of Hilfer fractional Sobolev type integrodifferential inclusions with nonlocal conditions. Zbl 1441.93039Subbaiyan, Saranya; Debbouche, Amar; Wang, JinRong 2 2020 Fractional nonlinear nonlocal delay evolution equations with new delay resolvent family. Zbl 1235.34208Debbouche, Amar 2 2011 Doubly-weighted pseudo almost automorphic solutions for stochastic dynamic equations with Stepanov-like coefficients on time scales. Zbl 1489.34129Dhama, Soniya; Abbas, Syed; Debbouche, Amar 2 2020 Controllability of switched Hilfer neutral fractional dynamic systems with impulses. Zbl 1498.93047Kumar, Vipin; Kostić, Marko; Tridane, Abdessamad; Debbouche, Amar 2 2022 Existence, stability and controllability results for a class of switched evolution system with impulses over arbitrary time domain. Zbl 1513.34373Kumar, Vipin; Debbouche, Amar; Nieto, Juan J. 2 2022 Controllability of fractional evolution integro-differential equations with almost sectorial operators. Zbl 1296.45006Bragdi, Mabrouk; Debbouche, Amar 2 2013 Time-partial differential equations: modeling and simulation. Zbl 1475.00036 1 2021 Stability of stationary solutions for the glioma growth equations with radial or axial symmetries. Zbl 1472.92087Polovinkina, Marina V.; Debbouche, Amar; Polovinkin, Igor P.; David, Sergio A. 1 2021 Controllability analysis of multiple fractional order integro-differential damping systems with impulsive interpretation. Zbl 1494.93016Jothilakshmi, G.; Vadivoo, B. S.; Almalki, Y.; Debbouche, A. 1 2022 Systems of semilinear evolution inequalities with temporal fractional derivative on the Heisenberg group. Zbl 1422.34054Meneceur, Bekkar; Haouam, Kamel; Debbouche, Amar 1 2017 Approximate controllability of impulsive non-local non-linear fractional dynamical systems and optimal control. Zbl 1474.93014Guechi, Sarra; Debbouche, Amar; Torres, Delfim F. M. 1 2018 Controllability of switched Hilfer neutral fractional dynamic systems with impulses. Zbl 1498.93047Kumar, Vipin; Kostić, Marko; Tridane, Abdessamad; Debbouche, Amar 2 2022 Existence, stability and controllability results for a class of switched evolution system with impulses over arbitrary time domain. Zbl 1513.34373Kumar, Vipin; Debbouche, Amar; Nieto, Juan J. 2 2022 Controllability analysis of multiple fractional order integro-differential damping systems with impulsive interpretation. Zbl 1494.93016Jothilakshmi, G.; Vadivoo, B. S.; Almalki, Y.; Debbouche, A. 1 2022 Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy. Zbl 1446.65116Manimaran, J.; Shangerganesh, L.; Debbouche, Amar 9 2021 Total controllability of neutral fractional differential equation with non-instantaneous impulsive effects. Zbl 1448.93029Kumar, Vipin; Malik, Muslim; Debbouche, Amar 9 2021 Stability and controllability analysis of fractional damped differential system with non-instantaneous impulses. Zbl 1474.34384Kumar, Vipin; Malik, Muslim; Debbouche, Amar 8 2021 Mathematical modeling and analysis for controlling the spread of infectious diseases. Zbl 1498.92007Tyagi, Swati; Martha, Subash C.; Abbas, Syed; Debbouche, Amar 5 2021 Time-partial differential equations: modeling and simulation. Zbl 1475.00036 1 2021 Stability of stationary solutions for the glioma growth equations with radial or axial symmetries. Zbl 1472.92087Polovinkina, Marina V.; Debbouche, Amar; Polovinkin, Igor P.; David, Sergio A. 1 2021 Optimal controls for second-order stochastic differential equations driven by mixed-fractional Brownian motion with impulses. Zbl 1448.49034Dhayal, Rajesh; Malik, Muslim; Abbas, Syed; Debbouche, Amar 20 2020 Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations. Zbl 1495.35193Kim, Hyunsoo; Sakthivel, Rathinasamy; Debbouche, Amar; Torres, Delfim F. M. 11 2020 Study of HIV mathematical model under nonsingular kernel type derivative of fractional order. Zbl 1490.92040Nazir, Ghazala; Shah, Kamal; Debbouche, Amar; Khan, Rahmat Ali 8 2020 A time-fractional competition ecological model with cross-diffusion. Zbl 1445.35309Manimaran, J.; Shangerganesh, L.; Debbouche, Amar 7 2020 Approximate controllability of Hilfer fractional Sobolev type integrodifferential inclusions with nonlocal conditions. Zbl 1441.93039Subbaiyan, Saranya; Debbouche, Amar; Wang, JinRong 2 2020 Doubly-weighted pseudo almost automorphic solutions for stochastic dynamic equations with Stepanov-like coefficients on time scales. Zbl 1489.34129Dhama, Soniya; Abbas, Syed; Debbouche, Amar 2 2020 Existence and regularity of final value problems for time fractional wave equations. Zbl 1442.35528Tuan, Nguyen Huy; Debbouche, Amar; Ngoc, Tran Bao 15 2019 Time optimal control of a system governed by non-instantaneous impulsive differential equations. Zbl 1421.49006Wang, JinRong; Fečkan, Michal; Debbouche, Amar 13 2019 Random fractional generalized Airy differential equations: a probabilistic analysis using mean square calculus. Zbl 1428.34010Burgos, C.; Cortés, J.-C.; Debbouche, A.; Villafuerte, L.; Villanueva, R.-J. 12 2019 Approximation techniques of optimal control problems for fractional dynamic systems in separable Hilbert spaces. Zbl 1442.49007Peng, Li; Zhou, Yong; Debbouche, Amar 5 2019 A class of time-fractional reaction-diffusion equation with nonlocal boundary condition. Zbl 1391.35404Zhou, Yong; Shangerganesh, L.; Manimaran, J.; Debbouche, Amar 41 2018 Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential. Zbl 1393.49026Harrat, Aicha; Nieto, Juan J.; Debbouche, Amar 28 2018 ILC method for solving approximate controllability of fractional differential equations with noninstantaneous impulses. Zbl 1390.93151Liu, Shengda; Debbouche, Amar; Wang, JinRong 27 2018 Relative controllability in fractional differential equations with pure delay. Zbl 1406.34013Li, Mengmeng; Debbouche, Amar; Wang, Jinrong 18 2018 Weakness and Mittag-Leffler stability of solutions for time-fractional Keller-Segel models. Zbl 1461.35218Zhou, Y.; Manimaran, J.; Shangerganesh, L.; Debbouche, A. 6 2018 The Cauchy problem for distributed order equations in Banach spaces. Zbl 1438.34053Streletskaya, E. M.; Fedorov, V. E.; Debbouche, Amar 6 2018 Existence and approximations of solutions for time-fractional Navier-Stokes equations. Zbl 1406.35474Peng, Li; Debbouche, Amar; Zhou, Yong 4 2018 Editorial: Modern fractional dynamic systems and applications, MFDSA 2017. Special issue in honor of: R. P. Agarwal, D. Baleanu, J. J. Nieto, D. F. M. Torres and Y. Zhou. Highly cited researchers in the field. Zbl 1395.00039 3 2018 Asymptotically almost periodicity for a class of Weyl-Liouville fractional evolution equations. Zbl 1400.34004Cao, Junfei; Debbouche, Amar; Zhou, Yong 3 2018 Approximate controllability of impulsive non-local non-linear fractional dynamical systems and optimal control. Zbl 1474.93014Guechi, Sarra; Debbouche, Amar; Torres, Delfim F. M. 1 2018 Approximate controllability of semilinear Hilfer fractional differential inclusions with impulsive control inclusion conditions in Banach spaces. Zbl 1374.93048Debbouche, Amar; Antonov, Valery 33 2017 On the iterative learning control for stochastic impulsive differential equations with randomly varying trial lengths. Zbl 1351.65005Liu, Shengda; Debbouche, Amar; Wang, JinRong 33 2017 Optimal solutions to relaxation in multiple control problems of Sobolev type with nonlocal nonlinear fractional differential equations. Zbl 1377.49012Debbouche, Amar; Nieto, Juan J.; Torres, Delfim F. M. 23 2017 Finite-dimensional diffusion models of heat transfer in fractal mediums involving local fractional derivatives. Zbl 1375.80018Debbouche, Amar; Antonov, Valery 10 2017 On the iterative learning control of fractional impulsive evolution equations in Banach spaces. Zbl 1376.93048Yu, Xiulan; Debbouche, Amar; Wang, Jinrong 8 2017 Impulsive fractional differential equations with Riemann-Liouville derivative and iterative learning control. Zbl 1374.34314Chen, Qian; Debbouche, Amar; Luo, Zijian; Wang, JinRong 6 2017 The international conference ‘Mathematical and computational modelling in science and technology’. Zbl 1355.00030 4 2017 Systems of semilinear evolution inequalities with temporal fractional derivative on the Heisenberg group. Zbl 1422.34054Meneceur, Bekkar; Haouam, Kamel; Debbouche, Amar 1 2017 Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions. Zbl 1350.93018Sakthivel, R.; Ren, Yong; Debbouche, Amar; Mahmudov, N. I. 57 2016 Analytic in a sector resolving families of operators for degenerate evolution fractional equations. Zbl 1399.34012Fedorov, V. E.; Romanova, E. A.; Debbouche, Amar 11 2016 Sobolev type fractional dynamic equations and optimal multi-integral controls with fractional nonlocal conditions. Zbl 1321.49007Debbouche, Amar; Torres, Delfim F. M. 47 2015 Relaxation in controlled systems described by fractional integro-differential equations with nonlocal control conditions. Zbl 1311.93039Debbouche, Amar; Nieto, Juan J. 12 2015 Complete controllability of nonlocal fractional stochastic differential evolution equations with Poisson jumps in Hilbert spaces. Zbl 1359.93052Kerboua, Mourad; Debbouche, Amar 7 2015 Sobolev type fractional abstract evolution equations with nonlocal conditions and optimal multi-controls. Zbl 1335.34014Debbouche, Amar; Nieto, Juan J. 57 2014 Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions. Zbl 1335.34094Debbouche, Amar; Torres, Delfim F. M. 45 2014 Approximate controllability of Sobolev type fractional stochastic nonlocal nonlinear differential equations in Hilbert spaces. Zbl 1324.93020Kerboua, Mourad; Debbouche, Amar; Baleanu, Dumitru 25 2014 Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces. Zbl 1278.93049Debbouche, Amar; Torres, Delfim F. M. 38 2013 Approximate controllability of Sobolev type nonlocal fractional stochastic dynamic systems in Hilbert spaces. Zbl 1291.93039Kerboua, Mourad; Debbouche, Amar; Baleanu, Dumitru 20 2013 Existence of solutions for fractional differential inclusions with separated boundary conditions in Banach space. Zbl 1272.34007Bragdi, Mabrouk; Debbouche, Amar; Baleanu, Dumitru 17 2013 A class of degenerate fractional evolution systems in Banach spaces. Zbl 1296.34018Fedorov, V. E.; Debbouche, A. 11 2013 Blowing-up solutions to two-times fractional differential equations. Zbl 1284.35087Kirane, Mokhtar; Kadem, Abdelouhab; Debbouche, Amar 4 2013 Sobolev type fractional delay impulsive equations with alpha-Sobolev resolvent families and integral conditions. Zbl 1301.34103Harrat, Aicha; Debbouche, Amar 3 2013 Controllability of fractional evolution integro-differential equations with almost sectorial operators. Zbl 1296.45006Bragdi, Mabrouk; Debbouche, Amar 2 2013 Nonlocal nonlinear integrodifferential equations of fractional orders. Zbl 1277.35337Debbouche, Amar; Baleanu, Dumitru; Agarwal, Ravi P. 38 2012 Exact null controllability for fractional nonlocal integrodifferential equations via implicit evolution system. Zbl 1251.93029Debbouche, Amar; Baleanu, Dumitru 17 2012 Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems. Zbl 1228.45013Debbouche, Amar; Baleanu, Dumitru 117 2011 Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems. Zbl 1267.45020Debbouche, Amar 4 2011 Fractional nonlinear nonlocal delay evolution equations with new delay resolvent family. Zbl 1235.34208Debbouche, Amar 2 2011 Weak almost periodic and optimal mild solutions of fractional evolution equations. Zbl 1171.34331Debbouche, Amar; El-Borai, Mahmoud M. 17 2009 On some fractional integro-differential equations with analytic semigroups. Zbl 1193.34164El-Borai, Mahmoud M.; Debbouche, Amar 6 2009 Almost periodic solutions of some nonlinear fractional differential equations. Zbl 1201.34009El-Borai, Mahmoud M.; Debbouche, Amar 5 2009 all cited Publications top 5 cited Publications all top 5 Cited by 828 Authors 50 Wang, Jinrong 34 Debbouche, Amar 32 Zhou, Yong 24 Băleanu, Dumitru I. 24 Yan, Zuomao 17 Fëdorov, Vladimir Evgen’evich 17 O’Regan, Donal 17 Vijayakumar, Velusamy 16 Sakthivel, Rathinasamy 14 Mahmudov, Nazim Idrisoglu 13 Ahmed, Hamdy M. 13 Fečkan, Michal 13 Malik, Muslim 13 Nguyen Huy Tuan 13 Nieto Roig, Juan Jose 13 Torres, Delfim Fernando Marado 12 Cortés López, Juan Carlos 11 Li, Yongxiang 11 Sooppy Nisar, Kottakkaran 10 Ntouyas, Sotiris K. 10 Pandey, Dwijendra Narain 9 Ahmad, Bashir 9 Liu, Shengda 9 Ravichandran, Chokkalingam 9 Shukla, Anurag 9 Udhayakumar, Ramalingam 8 Agarwal, Ravi P. 8 Chang, Yong-Kui 8 Zhu, Bo 7 Benchohra, Mouffak 7 Dhayal, Rajesh 7 Gou, Haide 7 Jia, Xiumei 7 Kumar, Vipin 7 Lu, Fangxia 7 Shen, Dong 7 Singh, Vikram 7 Zhang, Xuping 6 Abbas, Syed 6 Al-saedi, Ahmed Eid Salem 6 Burgos, Clara 6 Chen, Pengyu 6 Fu, Xianlong 6 Gordievskikh, Dmitriĭ Mikhaĭlovich 6 Kostić, Marko 6 Plekhanova, Marina Vasil’evna 6 Rezapour, Shahram 6 Sukavanam, Nagarajan 6 Tariboon, Jessada 6 Vanterler da Costa Sousa, José 6 Villafuerte, Laura 6 Villanueva, Rafael-Jacinto 5 Abdeljawad, Thabet 5 Anthoni, Selvaraj Marshal 5 Chadha, Alka 5 Dineshkumar, Chendrayan 5 El-Borai, Mahmoud Mohamed 5 Etemad, Sina 5 Ganesh, Ramakrishnan 5 Liu, Lishan 5 Luc, Nguyen Hoang 5 Ponce, Rodrigo F. 5 Ren, Yong 4 Abbas, Said 4 Balasubramaniam, Pagavathigounder 4 Calatayud, Julia 4 Hedayati, Vahid 4 Huang, Hai 4 Jiang, Wei 4 Jornet, Marc 4 Kavitha, Krishnan 4 Khan, Hasib 4 Kumar, Devendra 4 Kumar, Surendra Shashi 4 Li, Fang 4 Li, Gang 4 Li, Mengmeng 4 Long, Le Dinh 4 Manimaran, Jeyaraj 4 Muthukumar, Palanisamy 4 Pei, Yatian 4 Peng, Li 4 Samet, Bessem 4 Shangerganesh, Lingeshwaran 4 Trujillo, Juan J. 4 Yang, He 4 Yang, Xiao-Jun 4 Zhao, Daliang 3 Avilovich, Anna Sergeevna 3 Baybulatova, Guzel D. 3 Can, Nguyen Huu 3 Caraballo Garrido, Tomás 3 Chaudhary, Renu 3 Dassios, Ioannis K. 3 de Oliveira, Edmundo Capelas 3 Durga, Nagarajan 3 Fan, Zhenbin 3 Farahi, Souad 3 Gao, Feng 3 Gómez-Aguilar, José Francisco ...and 728 more Authors all top 5 Cited in 146 Serials 68 Advances in Difference Equations 37 Chaos, Solitons and Fractals 37 Applied Mathematics and Computation 23 Journal of Computational and Applied Mathematics 16 Fractional Calculus & Applied Analysis 14 Abstract and Applied Analysis 14 Evolution Equations and Control Theory 13 Boundary Value Problems 13 Journal of Function Spaces 12 Computers & Mathematics with Applications 12 International Journal of Control 10 Computational and Applied Mathematics 10 Qualitative Theory of Dynamical Systems 10 International Journal of Nonlinear Sciences and Numerical Simulation 9 Stochastic Analysis and Applications 9 Differential Equations and Dynamical Systems 9 Mediterranean Journal of Mathematics 8 Journal of the Franklin Institute 8 Journal of Optimization Theory and Applications 8 Applied Mathematics Letters 8 Nonlinear Analysis. Modelling and Control 8 Journal of Applied Mathematics and Computing 7 Applicable Analysis 7 Fractals 7 International Journal of Systems Science. Principles and Applications of Systems and Integration 7 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 6 Mathematical Problems in Engineering 6 Communications in Nonlinear Science and Numerical Simulation 6 Discrete and Continuous Dynamical Systems. Series S 6 Journal of Nonlinear Science and Applications 5 Mathematical Methods in the Applied Sciences 5 Mathematics and Computers in Simulation 5 Numerical Functional Analysis and Optimization 5 Journal of Mathematical Sciences (New York) 5 Journal of Inequalities and Applications 5 Journal of Dynamical and Control Systems 5 Discrete and Continuous Dynamical Systems. Series B 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 AIMS Mathematics 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Bulletin of the Iranian Mathematical Society 4 Journal of Fixed Point Theory and Applications 4 Advances in Mathematical Physics 4 International Journal of Applied and Computational Mathematics 3 Collectanea Mathematica 3 SIAM Journal on Control and Optimization 3 Statistics & Probability Letters 3 Optimization 3 Filomat 3 Bulletin des Sciences Mathématiques 3 Complexity 3 Journal of Difference Equations and Applications 3 Nonlinear Dynamics 3 Discrete Dynamics in Nature and Society 3 Journal of Applied Mathematics 3 Cubo 3 Mathematical Control and Related Fields 3 Journal of Applied Analysis and Computation 3 Nonautonomous Dynamical Systems 2 Reports on Mathematical Physics 2 Journal of Differential Equations 2 Results in Mathematics 2 Siberian Mathematical Journal 2 Optimal Control Applications & Methods 2 Acta Applicandae Mathematicae 2 Numerical Algorithms 2 International Journal of Computer Mathematics 2 Topological Methods in Nonlinear Analysis 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of Vibration and Control 2 Taiwanese Journal of Mathematics 2 Differential Equations 2 Kragujevac Journal of Mathematics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Stochastics and Dynamics 2 Journal of Function Spaces and Applications 2 Mathematical Biosciences and Engineering 2 Stochastics 2 Nonlinear Analysis. Hybrid Systems 2 Mathematical Modelling of Natural Phenomena 2 Afrika Matematika 2 Arabian Journal of Mathematics 2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 2 Journal of Mathematics 2 Journal of Applied Nonlinear Dynamics 2 Open Mathematics 2 Ural Mathematical Journal 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Optimization 1 Calcolo 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Le Matematiche 1 Semigroup Forum 1 Systems & Control Letters 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series ...and 46 more Serials all top 5 Cited in 31 Fields 411 Ordinary differential equations (34-XX) 271 Systems theory; control (93-XX) 153 Real functions (26-XX) 144 Operator theory (47-XX) 142 Partial differential equations (35-XX) 102 Probability theory and stochastic processes (60-XX) 57 Calculus of variations and optimal control; optimization (49-XX) 56 Numerical analysis (65-XX) 54 Integral equations (45-XX) 32 Biology and other natural sciences (92-XX) 16 Dynamical systems and ergodic theory (37-XX) 11 Difference and functional equations (39-XX) 9 Integral transforms, operational calculus (44-XX) 9 Fluid mechanics (76-XX) 7 Special functions (33-XX) 7 Abstract harmonic analysis (43-XX) 7 Computer science (68-XX) 6 Functional analysis (46-XX) 6 Mechanics of deformable solids (74-XX) 5 Measure and integration (28-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Approximations and expansions (41-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year