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An Existence Result for Neutral Delay Integrodifferential Equations with Fractional Order and Nonlocal Conditions

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  • Fang Li
  • Gaston M. N'Guérékata

Abstract

We study the existence of mild solutions of a class of neutral delay integrodifferential equations with fractional order and nonlocal conditions in a Banach space X . An existence result on the mild solution is obtained by using the theory of the measures of noncompactness and the theory of condensing maps. Two examples are given to illustrate the existence theorem.

Suggested Citation

  • Fang Li & Gaston M. N'Guérékata, 2011. "An Existence Result for Neutral Delay Integrodifferential Equations with Fractional Order and Nonlocal Conditions," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-20, November.
    • Handle: RePEc:hin:jnlaaa:952782
    DOI: 10.1155/2011/952782
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    Cited by:

    1. Alka Chadha & Dwijendra N. Pandey, 2018. "Approximate Controllability of a Neutral Stochastic Fractional Integro-Differential Inclusion with Nonlocal Conditions," Journal of Theoretical Probability, Springer, vol. 31(2), pages 705-740, June.
    2. Valliammal, N. & Ravichandran, C. & Nisar, Kottakkaran Sooppy, 2020. "Solutions to fractional neutral delay differential nonlocal systems," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    3. Kalimuthu, K. & Mohan, M. & Chokkalingam, R. & Nisar, Kottakkaran Sooppy, 2022. "Results on neutral differential equation of sobolev type with nonlocal conditions," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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