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On the soliton solutions to the density-dependent space time fractional reaction–diffusion equation with conformable and M-truncated derivatives

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Abstract

In this manuscript, the density-dependent space-time fractional reaction–diffusion equation in the sense of conformable and M-truncated derivatives (CMD) is presented. Through fractional transformation, these nonlinear fractional equations can be converted into nonlinear ordinary differential equations (NLPDEs). Besides, with the help of the Riccati–Bernoulli sub-ODE method (RBM), new exact solutions for these nonlinear fractional equations are produced. In order to construct the comparative analysis between different type fractional derivatives, graphical representations are demonstrated for chosen values of unknown parameters.

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Funding

No external funding received regarding this research.

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Authors and Affiliations

  1. Department of Mathematical Engineering, Yildiz Technical University, 34220, Istanbul, Turkey

    Handenur Esen & Aydin Secer

  2. Department of Software Engineering, Istanbul Gelisim University, Istanbul, Turkey

    Neslihan Ozdemir

  3. Department of Computer Engineering, Biruni University, Istanbul, Turkey

    Mustafa Bayram, Tukur Abdulkadir Sulaiman & Abdullahi Yusuf

  4. Department of Mathematics, Federal University Dutse, Dutse, Jigawa, Nigeria

    Tukur Abdulkadir Sulaiman & Abdullahi Yusuf

  5. Near East University, Operational Research Center in Healthcare, Nicosia, PC: 99138, TRNC Mersin 10, Turkey

    Hijaz Ahmad

  6. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

    Hijaz Ahmad

  7. Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186, Rome, Italy

    Hijaz Ahmad

  8. Yanbu Industrial College, The Royal Commission for Jubail and Yanbu, Riyadh, 30436, Saudi Arabia

    M. Daher Albalwi

Authors
  1. Handenur Esen
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  2. Neslihan Ozdemir
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  3. Aydin Secer
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  4. Mustafa Bayram
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  5. Tukur Abdulkadir Sulaiman
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  6. Hijaz Ahmad
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  7. Abdullahi Yusuf
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  8. M. Daher Albalwi
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Contributions

Conceptualization: HE. Data curation: NO, HE. Formal analysis: AS, NO. Validation: HA, MB, AS. Writing–original draft: TAS, HE. Writing–review editing: HA, AY. All authors contributed equally.

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Correspondence to Hijaz Ahmad.

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Esen, H., Ozdemir, N., Secer, A. et al. On the soliton solutions to the density-dependent space time fractional reaction–diffusion equation with conformable and M-truncated derivatives. Opt Quant Electron 55, 923 (2023). https://doi.org/10.1007/s11082-023-05109-9

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