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On Unique Positive Solution of Hadamard Fractional Differential Equation Involving p-Laplacian

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Applied Analysis, Optimization and Soft Computing (ICNAAO 2021)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 419))

Abstract

In this paper, the authors have studied p-Laplacian Hadamard fractional differential equation with integral boundary condition. The sufficient condition for the existence and uniqueness of solution is developed using a new fixed point theorem (Zhai and Wang [21]) of \(\varphi - (h,\mathfrak {e})\)-concave operator. Further, an iterative method is also given for approximating the solution corresponding to any arbitrary initial value taken from an appropriate set.

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Author information

Authors and Affiliations

  1. National Institute of Technology, Hamirpur, 177005, India

    Ramesh Kumar Vats & Ankit Kumar Nain

  2. R.K.S.D. (P.G.) College, Kaithal, 136027, Haryana, India

    Manoj Kumar

Authors
  1. Ramesh Kumar Vats
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  2. Ankit Kumar Nain
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  3. Manoj Kumar
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Corresponding author

Correspondence to Ankit Kumar Nain .

Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, Uttar Pradesh, India

    Tanmoy Som

  2. Department of Mathematical Sciences, Indian Institute of Technology, BHU, Varanasi, Uttar Pradesh, India

    Debdas Ghosh

  3. Research Chair of Graduate Studies, Tijuana Institute of Technology, Tijuana, Mexico

    Oscar Castillo

  4. Faculty of Mathematics and Computer Sci., Babes-Bolyai University, Cluj-Napoca, Romania

    Adrian Petrusel

  5. Department of Mathematics, Banaras Hindu University, Varanasi, India

    Dayaram Sahu

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Vats, R.K., Nain, A.K., Kumar, M. (2023). On Unique Positive Solution of Hadamard Fractional Differential Equation Involving p-Laplacian. In: Som, T., Ghosh, D., Castillo, O., Petrusel, A., Sahu, D. (eds) Applied Analysis, Optimization and Soft Computing. ICNAAO 2021. Springer Proceedings in Mathematics & Statistics, vol 419. Springer, Singapore. https://doi.org/10.1007/978-981-99-0597-3_13

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