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Stability analysis of nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives

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Abstract.

In this paper, we study the existence and uniqueness of solutions for nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives, and p -Laplacian operator \( \phi_{p}\) based on the Banach contraction principle. Also, we investigate the stability results for the proposed problem. Appropriate example is given to demonstrate the established results.

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Authors and Affiliations

  1. Department of Mathematics, University of Peshawar, P.O. Box 25000, Khybar Pakhtunkhwa, Pakistan

    Aziz Khan & Akbar Zada

  2. UAE University, Department of Mathematical Sciences, College of Science, P.O. Box 17551, Al-Ain, United Arab Emirates

    Muhammed I. Syam

  3. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, 210098, 210098, Nanjing, China

    Hasib Khan

  4. Shaheed Benazir Bhutto University, Sheringal, 18000, Dir Upper, Khyber Pakhtunkhwa, Pakistan

    Hasib Khan

Authors
  1. Aziz Khan
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  2. Muhammed I. Syam
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  3. Akbar Zada
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  4. Hasib Khan
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Correspondence to Muhammed I. Syam.

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Khan, A., Syam, M.I., Zada, A. et al. Stability analysis of nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives. Eur. Phys. J. Plus 133, 264 (2018). https://doi.org/10.1140/epjp/i2018-12119-6

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  • DOI: https://doi.org/10.1140/epjp/i2018-12119-6

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