Academic literature on the topic 'Impulsive fractional differential equations'

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Journal articles on the topic "Impulsive fractional differential equations"

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Fečkan, Michal, and Jin Rong Wang. "Periodic impulsive fractional differential equations." Advances in Nonlinear Analysis 8, no. 1 (2017): 482–96. http://dx.doi.org/10.1515/anona-2017-0015.

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Abstract This paper deals with the existence of periodic solutions of fractional differential equations with periodic impulses. The first part of the paper is devoted to the uniqueness, existence and asymptotic stability results for periodic solutions of impulsive fractional differential equations with varying lower limits for standard nonlinear cases as well as for cases of weak nonlinearities, equidistant and periodically shifted impulses. We also apply our result to an impulsive fractional Lorenz system. The second part extends the study to periodic impulsive fractional differential equatio
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Sadhasivam, V., and M. Deepa. "Oscillation criteria for fractional impulsive hybrid partial differential equations." Issues of Analysis 26, no. 2 (2019): 73–91. http://dx.doi.org/10.15393/j3.art.2019.5910.

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Fečkan, Michal, Marius-F. Danca, and Guanrong Chen. "Fractional Differential Equations with Impulsive Effects." Fractal and Fractional 8, no. 9 (2024): 500. http://dx.doi.org/10.3390/fractalfract8090500.

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This paper discusses impulsive effects on fractional differential equations. Two approaches are taken to obtain our results: either with fixed or changing lower limits in Caputo fractional derivatives. First, we derive an existence result for periodic solutions of fractional differential equations with periodically changing lower limits. Then, the impulsive effects are modeled for fractional differential equations regarding the nonlinearities rather than the initial value conditions. The proposed impulsive model differs from common discontinuous and nonsmooth dynamical systems.
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Guo, Tian Liang, and Wei Jiang. "Impulsive fractional functional differential equations." Computers & Mathematics with Applications 64, no. 10 (2012): 3414–24. http://dx.doi.org/10.1016/j.camwa.2011.12.054.

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Guo, Tian Liang, and KanJian Zhang. "Impulsive fractional partial differential equations." Applied Mathematics and Computation 257 (April 2015): 581–90. http://dx.doi.org/10.1016/j.amc.2014.05.101.

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Stamov, Gani, Anatoliy Martynyuk, and Ivanka Stamova. "Impulsive Fractional-Like Differential Equations: Practical Stability and Boundedness with Respect to h-Manifolds." Fractal and Fractional 3, no. 4 (2019): 50. http://dx.doi.org/10.3390/fractalfract3040050.

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In this paper, an impulsive fractional-like system of differential equations is introduced. The notions of practical stability and boundedness with respect to h-manifolds for fractional-like differential equations are generalized to the impulsive case. For the first time in the literature, Lyapunov-like functions and their derivatives with respect to impulsive fractional-like systems are defined. As an application, an impulsive fractional-like system of Lotka–Volterra equations is considered and new criteria for practical exponential stability are proposed. In addition, the uncertain case is a
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A A Abuharbid, Suzan, Kholoud W Saleem, and Salima Kh Ahmed. "The Oscillations for Delay Impulsive Fractional Partial Differential Equations (IFPDEs)." International Journal of Science and Research (IJSR) 11, no. 1 (2022): 1366–71. http://dx.doi.org/10.21275/mr22125031520.

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Mahto, Lakshman, Syed Abbas, and Angelo Favini. "Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications." International Journal of Differential Equations 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/704547.

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We use Sadovskii's fixed point method to investigate the existence and uniqueness of solutions of Caputo impulsive fractional differential equations of order with one example of impulsive logistic model and few other examples as well. We also discuss Caputo impulsive fractional differential equations with finite delay. The results proven are new and compliment the existing one.
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Ma, Changyou. "A Novel Computational Technique for Impulsive Fractional Differential Equations." Symmetry 11, no. 2 (2019): 216. http://dx.doi.org/10.3390/sym11020216.

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A computational technique for impulsive fractional differential equations is proposed in this paper. Adomian decomposition method plays an efficient role for approximate analytical solutions for ordinary or fractional calculus. Semi-analytical method is proposed by use of the Adomian polynomials. The method successively updates the initial values and gives the numerical solutions on different impulsive intervals. As one of the numerical examples, an impulsive fractional logistic differential equation is given to illustrate the method.
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Ahmed, Hamdy, A. Hassan, and A. Ghanem. "Nonlinear Impulsive Fractional Integro Differential Equations." British Journal of Mathematics & Computer Science 10, no. 4 (2015): 1–11. http://dx.doi.org/10.9734/bjmcs/2015/18725.

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Dissertations / Theses on the topic "Impulsive fractional differential equations"

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Zhu, Wei. "Fractional differential equations in risk theory." Thesis, University of Liverpool, 2018. http://livrepository.liverpool.ac.uk/3018514/.

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This thesis considers one of the central topics in the actuarial mathematics literature, deriving the probability of ruin in the collective risk model. The classical risk model and renewal risk models are focused in this project, where the claim number processes are assumed to be Poisson counting processes and any general renewal counting processes, respectively. The first part of this project is about the classical risk model. We look at the case when claim sizes follow a gamma distribution. Explicit expressions for ruin probabilities are derived via Laplace transform and inverse Laplace tran
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Ozbekler, Abdullah. "Sturm Comparison Theory For Impulsive Differential Equations." Phd thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/3/12606894/index.pdf.

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In this thesis, we investigate Sturmian comparison theory and oscillation for second order impulsive differential equations with fixed moments of impulse actions. It is shown that impulse actions may greatly alter the oscillation behavior of solutions. In chapter two, besides Sturmian type comparison results, we give Leightonian type comparison theorems and obtain Wirtinger type inequalities for linear, half-linear and non-selfadjoint equations. We present analogous results for forced super linear and super half-linear equations with damping. In chapter three, we derive suf
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Ballinger, George Henri. "Qualitative theory of impulsive delay differential equations." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/NQ51178.pdf.

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Tapdigoglu, Ramiz. "Inverse problems for fractional order differential equations." Thesis, La Rochelle, 2019. http://www.theses.fr/2019LAROS004/document.

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Dans cette thèse, nous nous intéressons à résoudre certains problèmes inverses pour des équations différentielles aux dérivées fractionnaires. Un problème inverse est généralement mal posé. Un problème mal posé est un problème qui ne répond pas à l’un des trois critères de Hadamard pour être bien posé, c’est-à-dire, soit l’existence, l’unicité ou une dépendance continue aux données n'est plus vraie, à savoir, des petits changements dans les données de mesure entraînent des changements indéfiniment importants dans la solution. La plupart des difficultés à résoudre des problèmes mal posés sont c
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Miron, Rachelle. "Impulsive Differential Equations with Applications to Infectious Diseases." Thèse, Université d'Ottawa / University of Ottawa, 2014. http://hdl.handle.net/10393/30948.

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Impulsive differential equations are useful for modelling certain biological events. We present three biological applications showing the use of impulsive differential equations in real-world problems. We also look at the effects of stability on a reduced two-dimensional impulsive HIV system. The first application is a system describing HIV induction-maintenance therapy, which shows how the solution to an impulsive system is used in order to find biological results (adherence, etc). A second application is an HIV system describing the interaction between T-cells, virus and drugs. Stability
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Lin, Xue Lei. "Separable preconditioner for time-space fractional diffusion equations." Thesis, University of Macau, 2017. http://umaclib3.umac.mo/record=b3691377.

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Smith, Robert. "Impulsive differential equations with applications to self-cycling fermentation /." *McMaster only, 2001.

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Wei, Hui Qin. "Preconditioners for solving fractional diffusion equations with discontinuous coefficients." Thesis, University of Macau, 2017. http://umaclib3.umac.mo/record=b3691375.

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Connolly, Joseph Arthur. "The numerical solution of fractional and distributed order differential equations." Thesis, University of Chester, 2004. http://hdl.handle.net/10034/76687.

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Fractional Calculus can be thought of as a generalisation of conventional calculus in the sense that it extends the concept of a derivative (integral) to include non-integer orders. Effective mathematical modelling using Fractional Differential Equations (FDEs) requires the development of reliable flexible numerical methods. The thesis begins by reviewing a selection of numerical methods for the solution of Single-term and Multi-term FDEs. We then present: 1. a graphical technique for comparing the efficiency of numerical methods. We use this to compare Single-term and Multi-term methods and g
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Pal, Kamal K. "Higher order numerical methods for fractional order differential equations." Thesis, University of Chester, 2015. http://hdl.handle.net/10034/613354.

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Books on the topic "Impulsive fractional differential equations"

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A, Peresti͡u︡k N., ed. Impulsive differential equations. World Scientific, 1995.

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Kochubei, Anatoly, and Yuri Luchko, eds. Fractional Differential Equations. De Gruyter, 2019. http://dx.doi.org/10.1515/9783110571660.

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Jin, Bangti. Fractional Differential Equations. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76043-4.

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Benchohra, Mouffak, Erdal Karapınar, Jamal Eddine Lazreg, and Abdelkrim Salim. Fractional Differential Equations. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-34877-8.

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Cardone, Angelamaria, Marco Donatelli, Fabio Durastante, Roberto Garrappa, Mariarosa Mazza, and Marina Popolizio, eds. Fractional Differential Equations. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-19-7716-9.

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Baǐnov, D. Abstract impulsive differential equations. Descartes Press, 1996.

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Daftardar-Gejji, Varsha, ed. Fractional Calculus and Fractional Differential Equations. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-9227-6.

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Atangana, Abdon, and Seda İgret Araz. Fractional Stochastic Differential Equations. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-0729-6.

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Kubica, Adam, Katarzyna Ryszewska, and Masahiro Yamamoto. Time-Fractional Differential Equations. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-9066-5.

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Lakshmikantham, V. Theory of impulsive differential equations. World Scientific, 1989.

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Book chapters on the topic "Impulsive fractional differential equations"

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Benchohra, Mouffak, Erdal Karapınar, Jamal Eddine Lazreg, and Abdelkrim Salim. "Impulsive Fractional Differential Equations with Retardation and Anticipation." In Fractional Differential Equations. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-34877-8_5.

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Wang, JinRong, Shengda Liu, and Michal Fečkan. "Instantaneous Impulsive Differential Equations." In Iterative Learning Control for Equations with Fractional Derivatives and Impulses. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-8244-5_4.

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Najafi, Nematallah. "Solveing Fuzzy Fractional Impulsive Differential Equations by Fuzzy Fractional Adomian Decomposition Technique." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-66501-2_75.

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Ahmad, Bashir, Ahmed Alsaedi, Sotiris K. Ntouyas, and Jessada Tariboon. "Boundary Value Problems for Impulsive Multi-Order Hadamard Fractional Differential Equations." In Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52141-1_8.

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Gautam, Ganga Ram, and Jaydev Dabas. "Existence of Mild Solutions for Impulsive Fractional Functional Differential Equations of Order α ∈ (1, 2)." In Differential and Difference Equations with Applications. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32857-7_14.

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Ergören, Hilmi, and M. Giyas Sakar. "Boundary Value Problems for Impulsive Fractional Differential Equations with Nonlocal Conditions." In Advances in Applied Mathematics and Approximation Theory. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6393-1_18.

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Gupta, Vidushi, and Jaydev Dabas. "Fractional Functional Impulsive Differential Equation with Integral Boundary Condition." In Mathematical Analysis and its Applications. Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2485-3_34.

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Arhrrabi, E., M. Elomari, S. Melliani, and L. S. Chadli. "Existence and Uniqueness Results of Fuzzy Fractional Stochastic Differential Equations with Impulsive." In Lecture Notes in Networks and Systems. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-12416-7_13.

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Hristova, Snezhana. "Mittag-Leffler Stability for Non-instantaneous Impulsive Generalized Proportional Caputo Fractional Differential Equations." In Springer Proceedings in Mathematics & Statistics. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-53212-2_19.

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Ranjini, M. C. "Existence Results of Mild Solutions for Impulsive Fractional Differential Equations with Almost Sectorial Operators." In Advances in Intelligent Systems and Computing. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-8061-1_41.

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Conference papers on the topic "Impulsive fractional differential equations"

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Luo, Zhenguo, and Liping Luo. "Forced oscillation of impulsive fractional partial differential equations." In 2025 5th International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2025), edited by Peicheng Zhu and Guihua Lin. SPIE, 2025. https://doi.org/10.1117/12.3070351.

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Wang, Hui. "Solvability and Optimal Control Problem for Coupled Fractional Differential Equations with Impulsive Effects." In 2024 43rd Chinese Control Conference (CCC). IEEE, 2024. http://dx.doi.org/10.23919/ccc63176.2024.10661877.

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Zhang, Lei, Yongsheng Ding, Kuangrong Hao, and Tong Wang. "Controllability of impulsive fractional stochastic partial differential equations." In 2013 10th IEEE International Conference on Control and Automation (ICCA). IEEE, 2013. http://dx.doi.org/10.1109/icca.2013.6564989.

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Qu, Zhuo, Siying Zhu, Meng Su, and Anping Liu. "On the Oscillation of Impulsive Partial Fractional Differential Equations." In 2018 International Conference on Mathematics, Modelling, Simulation and Algorithms (MMSA 2018). Atlantis Press, 2018. http://dx.doi.org/10.2991/mmsa-18.2018.71.

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Vatsala, Aghalaya S., and Yumxiang Bai. "Nonlinear caputo fractional impulsive differential equations and generalized comparison results." In ICNPAA 2018 WORLD CONGRESS: 12th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences. Author(s), 2018. http://dx.doi.org/10.1063/1.5081625.

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Nallathambi, K., V. Govindan, and A. Santhi. "Existence of fractional impulsive functional integro-differential equations in Banach spaces." In INTERNATIONAL CONFERENCE ON RECENT TRENDS IN PURE AND APPLIED MATHEMATICS (ICRTPAM-2021). AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0104263.

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Ma, Weiyuan, Changpin Li, and Yujiang Wu. "Pinning Impulsive Synchronization of Fractional Complex Dynamical Networks." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-47029.

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In this paper, a class of fractional complex dynamical networks is synchronized via pinning impulsive control. At first, a comparison principle is established for fractional impulsive differential equations. Then the synchronization criterion is obtained by using the derived comparison principle. Examples are given to illustrate the results.
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Fang, Huiping, Heping Jiang, and Jianwei Hu. "Solutions of Impulsive Fractional Neutral Functional Differential Equation." In 2018 International Conference on Robots & Intelligent System (ICRIS). IEEE, 2018. http://dx.doi.org/10.1109/icris.2018.00151.

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Hristova, Snezhana, and Atanaska Georgieva. "Finite time Lipschitz stability for neutral impulsive Riemann–Liouville fractional differential equations." In 10TH INTERNATIONAL CONFERENCE ON APPLIED SCIENCE AND TECHNOLOGY. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0115356.

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Wu, Jun, and Yicheng Liu. "Existence and Uniqueness Results for Fractional Differential Equations with Delay and Impulsive Effects." In 2010 6th International Conference on Wireless Communications, Networking and Mobile Computing (WiCOM). IEEE, 2010. http://dx.doi.org/10.1109/wicom.2010.5600856.

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Reports on the topic "Impulsive fractional differential equations"

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Lee, Chihoon. Constrained Stochastic Differential Equations Driven by Fractional Brownian Motions: Stationarity and Parameter Estimation Problems. Defense Technical Information Center, 2013. http://dx.doi.org/10.21236/ada591767.

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Myers, Joseph. Fractional Partial Differential Equations for Conservation Laws and Beyond: Theory, Numerics,and Applications (Summary Technical Report, Sep 2015–Nov 2022). DEVCOM Army Research Laboratory, 2023. http://dx.doi.org/10.21236/ad1204021.

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