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International Journal of Control Volume 92, 2019 - Issue 9
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Original Articles

Approximate controllability results for non-densely defined fractional neutral differential inclusions with Hille–Yosida operators

V. VijayakumarDepartment of Mathematics, Info Institute of Engineering, Coimbatore, IndiaCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0001-5976-5794
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Pages 2210-2222 | Received 10 Jul 2017, Accepted 22 Jan 2018, Published online: 07 Feb 2018

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S. Vivek & V. Vijayakumar. (2023) An analysis on the approximate controllability of neutral functional hemivariational inequalities with impulses. Optimization 0:0, pages 1-24.
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Articles from other publishers (40)

N. Valliammal, K. Jothimani, Sumati Kumari Panda & V. Vijayakumar. (2023) An investigation on the existence and approximate controllability of neutral stochastic hemivariational inequalities. Rendiconti del Circolo Matematico di Palermo Series 2 73:3, pages 941-958.
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V. Vijayakumar, Chokkalingam Ravichandran, Kottakkaran Sooppy Nisar & Kishor D. Kucche. (2021) New discussion on approximate controllability results for fractional Sobolev type Volterra‐Fredholm integro‐differential systems of order 1 <  r  < 2 . Numerical Methods for Partial Differential Equations 40:2.
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Hengzhi Zhao, Jiwei Zhang, Jing Lu & Jiang Hu. (2024) Approximate controllability and optimal control in fractional differential equations with multiple delay controls, fractional Brownian motion with Hurst parameter in , and Poisson jumps . Communications in Nonlinear Science and Numerical Simulation 128, pages 107636.
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W. Kavitha Williams, V. Vijayakumar, R. Udhayakumar, Sumati Kumari Panda & Kottakkaran Sooppy Nisar. (2020) Existence and controllability of nonlocal mixed Volterra‐Fredholm type fractional delay integro‐differential equations of order 1 <  r  < 2 . Numerical Methods for Partial Differential Equations 40:1.
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M. Mohan Raja, V. Vijayakumar, R. Udhayakumar & Kottakkaran Sooppy Nisar. (2020) Results on existence and controllability results for fractional evolution inclusions of order 1 <  r  < 2 with Clarke's subdifferential type . Numerical Methods for Partial Differential Equations 40:1.
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V. Vijayakumar, R. Udhayakumar, Sumati Kumari Panda & Kottakkaran Sooppy Nisar. (2020) Results on approximate controllability of Sobolev type fractional stochastic evolution hemivariational inequalities. Numerical Methods for Partial Differential Equations 40:1.
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Marimuthu Mohan Raja, Velusamy Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar & Shahram Rezapour. (2023) Investigating existence results for fractional evolution inclusions with order r ∈ (1, 2) in Banach space . International Journal of Nonlinear Sciences and Numerical Simulation 24:6, pages 2047-2060.
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Yong-Ki Ma, M. Mohan Raja, Anurag Shukla, V. Vijayakumar, Kottakkaran Sooppy Nisar & K. Thilagavathi. (2023) New results on approximate controllability of fractional delay integrodifferential systems of order 1 < r < 2 with Sobolev-type. Alexandria Engineering Journal 81, pages 501-518.
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V. Vijayakumar, R. Udhayakumar, Yong Zhou & N. Sakthivel. (2020) Approximate controllability results for Sobolev‐type delay differential system of fractional order without uniqueness. Numerical Methods for Partial Differential Equations 39:5, pages 3479-3498.
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Krishnan Kavitha & Velusamy Vijayakumar. (2023) Discussion on controllability of non-densely defined Hilfer fractional neutral differential equations with finite delay. International Journal of Nonlinear Sciences and Numerical Simulation 24:5, pages 1751-1767.
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A.M.A. El-Sayed, S.M. Salman & A.M.A. Abo-Bakr. (2023) On the dynamics of the singularly perturbed of the difference equation with continuous arguments corresponding to the Hénon map. Alexandria Engineering Journal 69, pages 255-273.
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Yong-Ki Ma, V. Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar, K. Thilagavathi, Hemant Kumar Nashine, Arun Kumar Singh & Mohammed Zakarya. (2023) Discussion on the existence of mild solution for fractional derivative by Mittag–Leffler kernel to fractional stochastic neutral differential inclusions. Alexandria Engineering Journal 63, pages 271-282.
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Kulandhaivel Karthikeyan, Palanisamy Raja Sekar, Panjaiyan Karthikeyan, Anoop Kumar, Thongchai Botmart & Wajaree Weera. (2023) A study on controllability for Hilfer fractional differential equations with impulsive delay conditions. AIMS Mathematics 8:2, pages 4202-4219.
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Qi Wang, Chenxi Xie, Qianqian Deng & Yuting Hu. (2023) Controllability results of neutral Caputo fractional functional differential equations. AIMS Mathematics 8:12, pages 30353-30373.
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K. Jothimani, C. Ravichandran, Vipin Kumar, Mohamed Djemai & Kottakkaran Sooppy Nisar. (2022) Interpretation of Trajectory Control and Optimization for the Nondense Fractional System. International Journal of Applied and Computational Mathematics 8:6.
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Assia Boudjerida & Djamila Seba. (2022) Controllability of nonlocal Hilfer fractional delay dynamic inclusions with non-instantaneous impulses and non-dense domain. International Journal of Dynamics and Control 10:5, pages 1613-1625.
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Yong-Ki Ma, K. Kavitha, Wedad Albalawi, Anurag Shukla, Kottakkaran Sooppy Nisar & V. Vijayakumar. (2022) An analysis on the approximate controllability of Hilfer fractional neutral differential systems in Hilbert spaces. Alexandria Engineering Journal 61:9, pages 7291-7302.
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C. Dineshkumar & R. Udhayakumar. (2020) Results on approximate controllability of nondensely defined fractional neutral stochastic differential systems. Numerical Methods for Partial Differential Equations 38:4, pages 733-759.
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K. Kavitha, V. Vijayakumar, R. Udhayakumar & C. Ravichandran. (2021) Results on controllability of Hilfer fractional differential equations with infinite delay via measures of noncompactness. Asian Journal of Control 24:3, pages 1406-1415.
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Xuan-Xuan Xi, Mimi Hou, Xian-Feng Zhou & Yanhua Wen. (2022) Approximate controllability of fractional neutral evolution systems of hyperbolic type. Evolution Equations and Control Theory 11:4, pages 1037.
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K. Kavitha, V. Vijayakumar, R. Udhayakumar, N. Sakthivel & Kottakkaran Sooppy Nisar. (2020) A note on approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay. Mathematical Methods in the Applied Sciences 44:6, pages 4428-4447.
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V Vijayakumar, R Udhayakumar & C Dineshkumar. (2021) Approximate controllability of second order nonlocal neutral differential evolution inclusions. IMA Journal of Mathematical Control and Information 38:1, pages 192-210.
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C. Dineshkumar & R. Udhayakumar. (2020) New results concerning to approximate controllability of Hilfer fractional neutral stochastic delay integro‐differential systems. Numerical Methods for Partial Differential Equations 37:2, pages 1072-1090.
Crossref
W. Kavitha Williams, V. Vijayakumar, R. Udhayakumar & Kottakkaran Sooppy Nisar. (2020) A new study on existence and uniqueness of nonlocal fractional delay differential systems of order 1 <  r  < 2 in Banach spaces . Numerical Methods for Partial Differential Equations 37:2, pages 949-961.
Crossref
K. Kavitha, V. Vijayakumar, R. Udhayakumar & Kottakkaran Sooppy Nisar. (2020) Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness. Mathematical Methods in the Applied Sciences 44:2, pages 1438-1455.
Crossref
Kasthurisamy Jothimani, Kalimuthu Kaliraj, Sumati Kumari Panda, Kotakkaran Sooppy Nisar & Chokkalingam Ravichandran. (2021) Results on controllability of non-densely characterized neutral fractional delay differential system. Evolution Equations & Control Theory 10:3, pages 619.
Crossref
C. Dineshkumar, R. Udhayakumar, V. Vijayakumar & Kottakkaran Sooppy Nisar. (2021) A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems. Chaos, Solitons & Fractals 142, pages 110472.
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Ashish Kumar & Dwijendra N. Pandey. (2019) Controllability Results for Non Densely Defined Impulsive Fractional Differential Equations in Abstract Space. Differential Equations and Dynamical Systems 29:1, pages 227-237.
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V. Vijayakumar & R. Udhayakumar. (2020) A new exploration on existence of Sobolev‐type Hilfer fractional neutral integro‐differential equations with infinite delay. Numerical Methods for Partial Differential Equations 37:1, pages 750-766.
Crossref
M. Mohan Raja, V. Vijayakumar & R. Udhayakumar. (2020) A new approach on approximate controllability of fractional evolution inclusions of order 1 < r < 2 with infinite delay. Chaos, Solitons & Fractals 141, pages 110343.
Crossref
M. Mohan Raja, V. Vijayakumar, R. Udhayakumar & Yong Zhou. (2020) A new approach on the approximate controllability of fractional differential evolution equations of order 1 < r < 2 in Hilbert spaces. Chaos, Solitons & Fractals 141, pages 110310.
Crossref
M. Mohan Raja & V. Vijayakumar. (2020) New results concerning to approximate controllability of fractional integro‐differential evolution equations of order 1 <  r  < 2 . Numerical Methods for Partial Differential Equations.
Crossref
Ahmed Alsaedi, Ravi P. Agarwal, Sotiris K. Ntouyas & Bashir Ahmad. (2020) Fractional-Order Integro-Differential Multivalued Problems with Fixed and Nonlocal Anti-Periodic Boundary Conditions. Mathematics 8:10, pages 1774.
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M. Mohan Raja, V. Vijayakumar & R. Udhayakumar. (2020) Results on the existence and controllability of fractional integro-differential system of order 1 < r < 2 via measure of noncompactness. Chaos, Solitons & Fractals 139, pages 110299.
Crossref
K. Kavitha, V. Vijayakumar & R. Udhayakumar. (2020) Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness. Chaos, Solitons & Fractals 139, pages 110035.
Crossref
V. Vijayakumar & R. Udhayakumar. (2020) Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay. Chaos, Solitons & Fractals 139, pages 110019.
Crossref
Ahmed Alsaedi, Abrar Broom, Sotiris K. Ntouyas & Bashir Ahmad. (2020) Nonlocal Fractional Boundary Value Problems Involving Mixed Right and Left Fractional Derivatives and Integrals. Axioms 9:2, pages 50.
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Hai Huang & Xianlong Fu. (2019) Approximate Controllability of Semi-Linear Neutral Integro-Differential Equations with Nonlocal Conditions. Journal of Dynamical and Control Systems 26:1, pages 127-147.
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Manar A. Alqudah, C. Ravichandran, Thabet Abdeljawad & N. Valliammal. (2019) New results on Caputo fractional-order neutral differential inclusions without compactness. Advances in Difference Equations 2019:1.
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K. Jothimani, K. Kaliraj, Zakia Hammouch & C. Ravichandran. (2019) New results on controllability in the framework of fractional integrodifferential equations with nondense domain. The European Physical Journal Plus 134:9.
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