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Initial value problems of nonlinear fractional differential equations with two orders

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Abstract

In this paper, we use the fixed point theory to obtain the existence and uniqueness of solutions for a class of nonlinear fractional differential equations. Two examples are given to illustrate this work.

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Acknowledgements

The authors are grateful to the referees for their valuable comments which have led to improvement of the presentation.

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Authors and Affiliations

  1. Applied Mathematics Lab, Faculty of Sciences, Department of Mathematics, University of Annaba, P.O. Box 12, Annaba, 23000, Algeria

    Adel Lachouri, Abdelouaheb Ardjouni & Ahcene Djoudi

  2. Department of Mathematics and Informatics, University of Souk Ahras, P.O. Box 1553, Souk Ahras, 41000, Algeria

    Abdelouaheb Ardjouni

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  1. Adel Lachouri
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  2. Abdelouaheb Ardjouni
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  3. Ahcene Djoudi
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Correspondence to Abdelouaheb Ardjouni.

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Lachouri, A., Ardjouni, A. & Djoudi, A. Initial value problems of nonlinear fractional differential equations with two orders. Ann Univ Ferrara 67, 369–386 (2021). https://doi.org/10.1007/s11565-021-00372-8

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  • DOI: https://doi.org/10.1007/s11565-021-00372-8

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