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Existence Results for Nonlocal Impulsive Fractional Neutral Functional Integro Differential Equations with Bounded Delay

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Mathematics and Computing (ICMC 2022)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 415))

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Abstract

We consider the impulsive neutral fractional functional integro-differential equation under bounded delay with nonlocal condition in the Banach spaces. The existence condition for the solution of this problem is studied using Darbo Sadovskii’s fixed point theorem with Hausdorff’s measure of noncompactness.

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References

  1. Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. Elsevier Publishers (2006)

    Google Scholar 

  2. Anguraj, A., Lathamaheswari, M., Chang, Y.K.: Solutions of a fractional functional integrodifferential equations with interval impulses and infinite delay. Nonlinear Stud. (2015)

    Google Scholar 

  3. Anguraj, A., Lathamaheswari, M.: Existence of solutions for fractional impulsive neutral functional infinite delay integro-differential equations with nonlocal conditions. J. Nonlinear Sci. Its Appl. 5(4), 271–280 (2012)

    Article  Google Scholar 

  4. Bainov, D.D., Simeonov, P.S: Impulsive Differential Equations: Periodic Solutions and Applications. Longman Scientific and Technical, Harlow (1993)

    Google Scholar 

  5. Balachandran, K., Kiruthika, S., Trujillo, J.J.: Existence results for fractional impulsive integro-differential equations in Banach space. Commun. Nonlinear Sci. Numer. Simulat. (2010)

    Google Scholar 

  6. Banas, J., Goebel, K.: Measure of noncompactness in Banach spaces. In: Lecture Notes in Pure and Applied Mathematics, vol. 60. Dekker, New York (1980)

    Google Scholar 

  7. Benchohra, M., Ntouyas, S.K.: Nonlocal Cauchy problems for neutral functional differential and integrodifferential inclusions. J. Math. Anal. Appl. 258, 573–590 (2001)

    Google Scholar 

  8. Fan, Z.: Impulsive problems for semilinear differential equations with nonlocal conditions. Nonlinear Anal. 72, 1104–1109 (2010)

    Google Scholar 

  9. Hernandez, E., Rabello, M., Henrquez, H.R.: Existence of solutions for impulsive partial neutral functional differential equations. J. Math. Anal. Appl. 331, 1135–1158 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  10. Lakshmikantham, V., Bainov, D.D., Simeonov, P.S.: Theory of Impulsive Differential Equations. World Scientific, Singapore (1989)

    Google Scholar 

  11. Samoilenko, A.M., Perestyuk, N.A.: Impulsive Differential Equations. World Scientific, Singapore (1995)

    Google Scholar 

  12. Suresh, M.L., Gunasekar, T., Paul Samuel, F.: Existence results for nonlocal impulsive neutral functional integro-differential equations. Int. J. Pure Appl. Math. 116(23), 337–345 (2017)

    Google Scholar 

  13. Xue, X.: Existence of solutions for semilinear nonlocal Cauchy problems in Banach spaces. Electron. J. Differ. Eqs. 64, 1–7 (2005)

    Google Scholar 

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Author information

Authors and Affiliations

  1. PSG College of Arts and Science, Coimbatore, 641014, TamilNadu, India

    M. Latha Maheswari & R. Nandhini

Authors
  1. M. Latha Maheswari
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  2. R. Nandhini
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Corresponding author

Correspondence to M. Latha Maheswari .

Editor information

Editors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    B. Rushi Kumar

  2. Department of Mathematics, Indian Institute of Technology Madras, Chennai, Tamil Nadu, India

    S. Ponnusamy

  3. Department of Information Technology, Maulana Abul Kalam Azad University of Technology, Haringhata, West Bengal, India

    Debasis Giri

  4. Department of Computer Science, The University of Texas at Dallas, Richardson, TX, USA

    Bhavani Thuraisingham

  5. Department of Computer Science, Purdue University, West Lafayette, IN, USA

    Christopher W. Clifton

  6. Department of Theoretical and Applied Sciences, University of Insubria, Varese, Italy

    Barbara Carminati

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Latha Maheswari, M., Nandhini, R. (2022). Existence Results for Nonlocal Impulsive Fractional Neutral Functional Integro Differential Equations with Bounded Delay. In: Rushi Kumar, B., Ponnusamy, S., Giri, D., Thuraisingham, B., Clifton, C.W., Carminati, B. (eds) Mathematics and Computing. ICMC 2022. Springer Proceedings in Mathematics & Statistics, vol 415. Springer, Singapore. https://doi.org/10.1007/978-981-19-9307-7_32

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