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

  • Benaouda HediaEmail author
Conference paper
First Online:
Part of the Springer Proceedings in Mathematics & Statistics book series (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.

Keywords

Semi-linear differential equations Nonlocal initial value problems Hilfer fractional derivative Fixed point theorems Measure of non-compactness Condensing map 

AMS (MOS) Subject Classifications:

26A33 34K37 37L05 34B10. 
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Notes

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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© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Loboratory of Mathematics and InformaticsUniversity Ibn Khaldoun of TiaretTiaretAlgeria

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