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Analysis of Fractional Integro-differential System with Impulses

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Abstract

In this work, we analyze a coupled fractional integro-differential system with impulses having Caputo derivatives. We prove the existence and uniqueness of the results. Furthermore, different kinds of Ulam stabilities are discussed. By providing an example, the obtained results are illustrated.

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Acknowledgements

The authors thank all reviewers for their valuable comments and suggestions.

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The authors declare that the study was realized in collaboration with equal responsibility. All authors read and approved the final manuscript. MA conceptualization, investigation, visualization, writing-original draft AZ supervision SB and UR Writing—review and editing.

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Correspondence to Mehboob Alam.

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Alam, M., Zada, A., Begum, S. et al. Analysis of Fractional Integro-differential System with Impulses. Int. J. Appl. Comput. Math 9, 93 (2023). https://doi.org/10.1007/s40819-023-01584-6

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  • DOI: https://doi.org/10.1007/s40819-023-01584-6

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