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On a System of Sequential Caputo-Type p-Laplacian Fractional BVPs with Stability Analysis

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Abstract

The main purpose of the paper is to study the qualitative theory of the solutions of a multi-point sequential Caputo–type p–Laplacian coupled system. The existence and uniqueness of the solution of the aforementioned system are studied with the help of fixed point theorems and properties of a p–Laplacian operator. Furthermore, the Hyers–Ulam stability and generalized Hyers–Ulam stability are also investigated. For the validity of the obtained results, an illustrative example is given.

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Acknowledgements

The fourth and fifth authors would like to thank Azarbaijan Shahid Madani University. All authors would like to thank dear reviewers for their useful and constructive comments to improve the quality of the paper.

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No funds were received.

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Peshawar, Peshawar, Pakistan

    Hira Waheed & Akbar Zada

  2. Department of Computing, Mathematics and Electronics, “1 Decembrie 1918” University of Alba Iulia, Alba, Iulia, 510 0 09, Romania

    Ioan-Lucian Popa

  3. Faculty of Mathematics and Computer Science, Transilvania University of Brasov, Iuliu Maniu Street 50, 500091, Brasov, Romania

    Ioan-Lucian Popa

  4. Department of Mathematics, Azarbaijan Shahid Madani University, Da NanTabrizg, Iran

    Sina Etemad & Shahram Rezapour

  5. Mathematics in Applied Sciences and Engineering Research Group, Scientific Research Center, Al-Ayen University, Nasiriyah, 64001, Iraq

    Sina Etemad

  6. Department of Medical Research, China Medical University Hospital China Medical University, Taichung, Taiwan

    Shahram Rezapour

Authors
  1. Hira Waheed
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  2. Akbar Zada
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  3. Ioan-Lucian Popa
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  4. Sina Etemad
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  5. Shahram Rezapour
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Contributions

Conceptualization: HW, AZ, SE; Formal Analysis: HW, AZ, ILP, SE, SR; Investigation: AZ, ILP; Methodology: HW, AZ, ILP, SE, SR; Software: HW, SE; Writing-Original Draft: HW, SE; Writing-Review & Editing: AZ, SR; All authors read and approved the final manuscript.

Corresponding authors

Correspondence to Sina Etemad or Shahram Rezapour.

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Waheed, H., Zada, A., Popa, IL. et al. On a System of Sequential Caputo-Type p-Laplacian Fractional BVPs with Stability Analysis. Qual. Theory Dyn. Syst. 23, 128 (2024). https://doi.org/10.1007/s12346-024-00988-z

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  • DOI: https://doi.org/10.1007/s12346-024-00988-z

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