\begin{document}$\chi^{2}_{\min}$\end{document} compared to ΛCDM but without significant preference according to AIC and BIC. When CMB distance priors are included, the FHDEH and FHDEP models are strongly ruled out. We further analyze the cosmological evolution for these models, and find that only the FHDEF model predicts nearly identical evolutions of \begin{document}$ \Omega_{m} $\end{document} and \begin{document}$ \Omega_{\rm de} $\end{document} to those of the ΛCDM model across cosmic history, but its deceleration parameter q deviates from the ΛCDM model in the future, indicating richer late time dynamics beyond the standard ΛCDM cosmology."> Observational constraints on fractional holographic dark energy in the light of DESI DR2 -
  • [1]

    S. Perlmutter, G. Aldering, G. Goldhaberet al., Astrophys. J.517, 565 (1999)

  • [2]

    A. Riess, A. Filippenko, P. Challiset al., Astron. J.116, 1009 (1998)

  • [3]

    D. Spergel, L. Verde, H. Peiriset al., Astrophys. J. Suppl.148, 175 (2003)

  • [4]

    D. Spergel, R. Bean, O. Doreet al., Astrophys. J. Suppl.170, 377 (2007)

  • [5]

    M. Tegmark, M. Strauss, M. Blantonet al., Phys. Rev. D69, 103501 (2004)

  • [6]

    D. Eisenstein, I. Zehavi, D. Hogget al., Astron. J.633, 560 (2005)

  • [7]

    P. Peebles and B. Ratra, Rev. Mod. Phys.75, 559 (2003)

  • [8]

    N. Aghanimet al. (Planck Collaboration), A&A641, A6 (2020)

  • [9]

    S. Weinberg, Rev. Mod. Phys.61, 1 (1989)

  • [10]

    P. Steinhardt, L. Wang, and I. Zlatev, Phys. Rev. D59, 123504 (1999)

  • [11]

    A. Cohen, D. Kaplan, and A. Nelson, Phys. Rev. Lett.82, 4971 (1999)

  • [12]

    S. Hsu, Phys. Lett. B594, 13 (2004)

  • [13]

    M. Li, Phys. Lett. B603, 1 (2004)

  • [14]

    R. Horvat, Phys. Rev. D70, 087301 (2004)

  • [15]

    S. Wang, Y. Wang, and M. Li, Phys. Rep.696, 1 (2017)

  • [16]

    X. Zhang and F. Wu, Phys. Rev. D72, 043524 (2005)

  • [17]

    M. Li, X. Li, S. Wang, and X. Zhang, JCAP06, 036 (2009)

  • [18]

    T. Li, Y. Li, G. Duet al., Eur. Phys. J. C85, 608 (2025)

  • [19]

    J. Li and S. Wang, JCAP07, 047 (2025)

  • [20]

    X. Zhang, Int. J. Mod. Phys. D14, 1597 (2005)

  • [21]

    Q. Huang and M. Li, JCAP08, 013 (2004)

  • [22]

    M. Tavayef, A. Sheykhi, K. Bambaet al., Phys. Lett. B781, 195 (2018)

  • [23]

    E. Saridakis, Phys. Rev. D102, 123525 (2020)

  • [24]

    O. Trivedi, A. Bidlan, and P. Moniz, Phys. Lett. B858, 139074 (2024)

  • [25]

    S. Jalalzadeh, F. da Silva, and P. Moniz, Eur. Phys. J. C81, 1 (2021)

  • [26]

    A. Riess, W. Yuan, L. Macriet al., Astrophys. J. Lett.934, L7 (2022)

  • [27]

    D. Brout, D. Scolnic, B.Popovicet al., Astrophys. J.938, 110 (2022)

  • [28]

    D. Scolnic, D. Brout, A. Carret al., Astrophys. J.938, 113 (2022)

  • [29]

    S. Cao and B. Ratra, Mon. Not. R. Astron. Soc.513, 5686 (2022)

  • [30]

    X. Shen, B. Xu, K. Zhanget al., Eur. Phys. J. C85, 992 (2025)

  • [31]

    J. Wang, H. Yu, and P. Wu, Eur. Phys. J. C85, 853 (2025)

  • [32]

    Y. Liu, H. Yu, and P. Wu, Phys. Rev. D110, L021304 (2024)

  • [33]

    Y. Liu, B. Wang, H. Yuet al., Mon. Not. R. Astron. Soc.533, 244 (2024)

  • [34]

    S. Arora and P. Sahoo, Phys. Dark Universe45, 101510 (2024)

  • [35]

    A. Oliveros and M. Acero, Int. J. Mod. Phys. D33, 2450004 (2024)

  • [36]

    D. Wang, M. Koussour, A. Maliket al., Eur. Phys. J. C83, 670 (2023)

  • [37]

    P. Mukherjee and N. Banerjee, Phys. Dark Universe36, 100998 (2022)

  • [38]

    P. Mukherjee and N. Banerjee, Phys. Rev. D105, 063516 (2022)

  • [39]

    S. Cao, J. Ryan, and B. Ratra, Mon. Not. R. Astron. Soc.504, 300 (2021)

  • [40]

    S. Pacif, S. Arora, and P. Sahoo, Phys. Dark Universe32, 100804 (2021)

  • [41]

    S. Cao, T. Zhang, X. Wanget al., Universe7, 57 (2021)

  • [42]

    O. Akarsu, J. Barrow, L. Escamillaet al., Phys. Rev. D101, 063528 (2020)

  • [43]

    Y. Yang and Y. Gong, JCAP06, 59 (2020)

  • [44]

    Y. Liu, R. Guo, J. Zhanget al., JCAP05, 016 (2019)

  • [45]

    J. Jimenez, R. Lazkoz, D.Saez-Gomezet al., Eur. Phys. J. C76, 631 (2016)

  • [46]

    Y. Gong, Q. Gao, and Z. Zhu, Mon. Not. R. Astron. Soc.430, 3142 (2013)

  • [47]

    Q. Su, Z. Tuo, and R. Cai, Phys. Rev. D84, 103519 (2011)

  • [48]

    Y. Gong, R. Cai, Y. Chen, and Z. Zhu, JCAP01, 019 (2010)

  • [49]

    P. Wu and H. Yu, Phys. Lett. B693, 415 (2010)

  • [50]

    Y. Gong and A. Wang, Phys. Rev. D73, 083506 (2006)

  • [51]

    P. Wu and H. Yu, Phys. Lett. B643, 315 (2006)

  • [52]

    M. Abdul Karim, J. Aguilar, S. Ahlenet al., Phys. Rev. D112, 083515 (2025)

  • [53]

    T. Li, G. Du, Y. Liet al., Sci. China Phys. Mech. Astron.69, 210413 (2026)

  • [54]

    T. Li, G. Du, S. Zhouet al., Phys. Dark Universe52, 102254 (2026)

  • [55]

    T. Li, W. Giare, G. Duet al., arXiv: 2601.07361

  • [56]

    T. Li, G. Du, H. Wanget al., Res. Astron. Astrophys.26, 084002 (2026)

  • [57]

    G. Du, T. Li, T. Liuet al., Sci. China Phys. Mech. Astron.69, 280411 (2026)

  • [58]

    X. Ren, S. Li, Y. Liuet al., Res. Astron. Astrophys.26, 084001 (2026)

  • [59]

    H. Wang and Y. Piao, Phys. Lett. B873, 140180 (2026)

  • [60]

    J. Wang, R. Cai, Z. Guoet al., Phys. Rev. D113, 083534 (2026)

  • [61]

    G. Du, T. Li, P. Wuet al., arXiv: 2507.16589

  • [62]

    T. Li, P. Wu, G. Duet al., ApJ976, 1 (2024)

  • [63]

    Y. Pang, X. Zhang, and Q. Huang, Sci. China Phys. Mech. Astron.68, 280410 (2025)

  • [64]

    H. Wang and Y. Piao, arXiv: 2511.16606

  • [65]

    M. Yadav, A. Dixit, M. Baraket al., JHEAp50, 100514 (2026)

  • [66]

    Z. Zhu, Q. Jiang, Y. Liuet al., JHEAp51, 100377 (2026)

  • [67]

    F. Plaza, G. Leon, and L. Kraiselburd, Eur. Phys. J. C85, 1262 (2025)

  • [68]

    V. Petri, V. Marra, and R. Marttens, Phys. Rev. D113, 023504 (2026)

  • [69]

    T. Li, P. Wu, G. Duet al., Phys. Dark Universe50, 102068 (2025)

  • [70]

    J. Li and S. Wang, Eur. Phys. J. C85, 1308 (2025)

  • [71]

    Y. Li and X. Zhang, JCAP12, 018 (2025)

  • [72]

    T. Li, Y. Zhang, Y. Yaoet al., JCAP12, 048 (2025)

  • [73]

    G. Luciano, A. Paliathanasis, and E. Saridakis, JHEAp49, 100427 (2026)

  • [74]

    Y. Wang and K. Freese, JCAP02, 023 (2026)

  • [75]

    R. Robles-Barba, A. Garcia-Rivera, L. Molina-Ponceet al., Phys. Scr.100, 085030 (2026)

  • [76]

    Z. Zhai and Y. Wang, JCAP07, 005 (2019)

  • [77]

    L. Chen, Q. Huang, and K. Wang, JCAP02, 028 (2019)

  • [78]

    H. Akaike, IEEE Trans. Automatic Control19, 716 (1974)

  • [79]

    G. Schwarz, Ann. Stat.6, 461 (1978)

  • [80]

    R. Trotta, Contemp. Phys.49, 71 (2008)

  • [81]

    Q. Huang, H. Chen, and Q. Wu, Universe12, 134 (2026)

  • [82]

    S. Bahamonde, C. Bohmer, S. Carloniet al., Phys. Rep.1, 775 (2018)

  • [83]

    Q. Huang, H. Huang, J. Chenet al., Class. Quantum Grav.36, 175001 (2019)

  • [84]

    Q. Huang, H. Huang, B. Xuet al., Eur. Phys. J. C81, 686 (2021)

  • [85]

    P. Wu and H. Yu, Phys. Lett. B692, 176 (2010)

  • [86]

    J. Dutta, W. Khyllep, and N. Tamanini, Phys. Rev. D95, 023515 (2017)

  • [87]

    P. Wu and S. Zhang, JCAP06, 007 (2008)

  • [88]

    P. Wu, and H. Yu, Class. Quant. Grav.24, 4661 (2007)

  • [89]

    Q. Huang, H. Huang, B. Xuet al., Universe11, 147 (2025)

  • [90]

    Q. Huang, H. Huang, B. Xuet al., Eur. Phys. J. C85, 395 (2025)

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