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Nonlocal Conditions for Semi-linear Fractional Differential Equations with Hilfer Derivative

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Fractional Calculus (ICFDA 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 303))

Abstract

This paper studies the existence of solutions for nonlocal semi-linear fractional differential equations of Hilfer type in Banach space by using the non-compact measure method in the weighted space of continuous functions. The main result is illustrated with the aid of an example.

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Acknowledgements

The author would like to express his warmest thanks to all members of ICFDA18 International Conference on Fractional Differentiation and its Applications 2018 for his/her valuable comments and suggestions.

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Authors and Affiliations

  1. Loboratory of Mathematics and Informatics, University Ibn Khaldoun of Tiaret, PO BOX 78, 14000, Tiaret, Algeria

    Benaouda Hedia

Authors
  1. Benaouda Hedia
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Correspondence to Benaouda Hedia .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Anand International College of Engineering, Jaipur, Rajasthan, India

    Praveen Agarwal

  2. Department of Mathematics and Computer Science, Çankaya University, Ankara, Turkey

    Dumitru Baleanu

  3. School of Engineering (MESA Lab), University of California, Merced, Merced, CA, USA

    YangQuan Chen

  4. Department of Mathematics, The University of Jordan, Amman, Jordan

    Shaher Momani

  5. Institute of Engineering, Polytechnic Institute of Porto, Porto, Portugal

    José António Tenreiro Machado

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Hedia, B. (2019). Nonlocal Conditions for Semi-linear Fractional Differential Equations with Hilfer Derivative. In: Agarwal, P., Baleanu, D., Chen, Y., Momani, S., Machado, J. (eds) Fractional Calculus. ICFDA 2018. Springer Proceedings in Mathematics & Statistics, vol 303. Springer, Singapore. https://doi.org/10.1007/978-981-15-0430-3_5

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