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Existence Results for Fractional Neutral Functional Differential Equations with Random Impulses

Author

Listed:
  • Annamalai Anguraj

    (Department of Mathematics, PSG College of Arts and Science, Coimbatore-641 014, Tamil Nadu, India)

  • Mullarithodi C. Ranjini

    (Department of Mathematics, Karunya University, Coimbatore-641 114, Tamil Nadu, India)

  • Margarita Rivero

    (Departamento de Análisis Matemático, Universidad de La Laguna, 38271 La Laguna, Tenerife, Spain)

  • Juan J. Trujillo

    (Departamento de Matemáticas, Universidad de La Laguna, Estadística, e I.O., 38271 La Laguna, Tenerife, Spain)

Abstract

In this paper, we investigate the existence of solutions for the fractional neutral differential equations with random impulses. The results are obtained by using Krasnoselskii’s fixed point theorem. Examples are added to show applications of the main results.

Suggested Citation

  • Annamalai Anguraj & Mullarithodi C. Ranjini & Margarita Rivero & Juan J. Trujillo, 2015. "Existence Results for Fractional Neutral Functional Differential Equations with Random Impulses," Mathematics, MDPI, vol. 3(1), pages 1-13, January.
    • Handle: RePEc:gam:jmathe:v:3:y:2015:i:1:p:16-28:d:44969
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