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An Existence Result for a Fractional Integral Boundary Value Problem of Mixed Type with Impulses

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Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21) (ICFDA 2021)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 452))

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Abstract

In this paper we investigate the existence of weak solutions for an impulsive fractional integral boundary value problem of mixed type in a Banach space. The results are obtained using Henstock-Kurzweil-Pettis integrals and De Blasi measure of weak noncompactness. An example is given to illustrate the theory.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Saâd Dahlab University USDB, Blida 1, BP 270, 09000, Blida, Algeria

    Sadek Habani

  2. Dynamic of Engines and Vibroacoustic Laboratory, University M’Hamed Bougara of Boumerdes, Boumerdes, Algeria

    Djamila Seba

Authors
  1. Sadek Habani
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  2. Djamila Seba
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Corresponding author

Correspondence to Djamila Seba .

Editor information

Editors and Affiliations

  1. Institute of Control and Industrial Electronics, Warsaw University Technology, Warsaw, Poland

    Andrzej Dzielinski

  2. Faculty of Electrical Engineering, Institute of Control and Industrial Electronics, Warsaw University of Technology, Warsaw, Poland

    Dominik Sierociuk

  3. Institute of Control and Industrial Electronics, Warsaw University of Technology, Warsaw, Poland

    Piotr Ostalczyk

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Habani, S., Seba, D. (2022). An Existence Result for a Fractional Integral Boundary Value Problem of Mixed Type with Impulses. In: Dzielinski, A., Sierociuk, D., Ostalczyk, P. (eds) Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21). ICFDA 2021. Lecture Notes in Networks and Systems, vol 452. Springer, Cham. https://doi.org/10.1007/978-3-031-04383-3_23

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