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  1. 721

    Feng’s First Integral Method Applied to the ZKBBM and the Generalized Fisher Space-Time Fractional Equations by Huitzilin Yépez-Martínez, Ivan O. Sosa, Juan M. Reyes

    Published 2015-01-01
    “…The present method is efficient and reliable, and it can be used as an alternative to establish new solutions of different types of fractional differential equations applied in mathematical physics.…”
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    Article
  2. 722

    Optical Solutions of the Date–Jimbo–Kashiwara–Miwa Equation via the Extended Direct Algebraic Method by Ghazala Akram, Naila Sajid, Muhammad Abbas, Y. S. Hamed, Khadijah M. Abualnaja

    Published 2021-01-01
    “…In this study, the solutions of 2+1-dimensional nonlinear Date–Jimbo–Kashiwara–Miwa (DJKM) equation are characterized, which can be used in mathematical physics to model water waves with low surface tension and long wavelengths. …”
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    Article
  3. 723

    Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations by Jian-ming Qi, Fu Zhang, Wen-jun Yuan, Zi-feng Huang

    Published 2014-01-01
    “…We believe that this method should play an important role for finding exact solutions in the mathematical physics. For these new traveling wave solutions, we give some computer simulations to illustrate our main results.…”
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    Article
  4. 724

    Some fractional integral inequalities involving extended Mittag-Leffler function with applications by Sabir Hussain, Rida Khaliq, Sobia Rafeeq, Azhar Ali, Jongsuk Ro

    Published 2024-12-01
    “…Integral inequalities and the Mittag-Leffler function play a crucial role in many branches of mathematics and applications, including fractional calculus, mathematical physics, and engineering. In this paper, we introduced an extended generalized Mittag-Leffler function that involved several well-known Mittag-Leffler functions as a special case. …”
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    Article
  5. 725

    Paley and Hardy's inequalities for the Fourier-Dunkl expansions by Anis Elgarna

    Published 2025-01-01
    “…Establishing Paley and Hardy's inequalities in these settings is a participation in extending the Dunkl harmonic analysis as it has many applications in mathematical physics and in the framework of vector valued extensions of multipliers.…”
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    Article
  6. 726

    On the approximate solution of the Cauchy problem for the Helmholtz equation on the plane by Davron Juraev, Nazira Mammadzada, Praveen Agarwal, Shilpi Jain

    Published 2024-09-01
    “…The problem under consideration belongs to the problems of mathematical physics, in which there is no continuous dependence of solutions on the initial data. …”
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    Article
  7. 727

    Exact analytical soliton solutions of the M-fractional Akbota equation by Muath Awadalla, Aigul Taishiyeva, Ratbay Myrzakulov, Jihan Alahmadi, Abdullah A. Zaagan, Ahmet Bekir

    Published 2024-06-01
    “…At the end, the applied techniques are simple, fruitful and reliable to solve the other models in mathematical physics.…”
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    Article
  8. 728

    High-Precision computational solutions for nonlinear evolution models in graphene sheets by Mostafa M. A. Khater, Suleman H. Alfalqi, Aleksander Vokhmintsev

    Published 2025-02-01
    “…The innovative use of these analytical techniques offers practical frameworks for addressing complex nonlinear models in mathematical physics, thus advancing solution methodologies for such equations. …”
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    Article
  9. 729

    Extensions of Riordan Arrays and Their Applications by Paul Barry

    Published 2025-01-01
    “…The first application of this symmetrization is to the study of a family of Riordan arrays whose symmetrizations lead to the famous Robbins numbers as well as to numbers associated with the 20 vertex model of mathematical physics. We provide closed-form expressions for the elements of these arrays, and we also give a canonical Catalan factorization for them. …”
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    Article
  10. 730

    Solving geocryology problems based on generalized Fourier theory for temperature waves in half-space by Anatoliy M. Afanasyev, Yulia S. Bakhracheva

    Published 2024-12-01
    “…It is required to generalize the Fourier problem known in mathematical physics on fluctuations of the temperature field in half-space by introducing into consideration, along with the temperature field, the moisture content field and taking into account the phenomena of evaporation and condensation associated with this field. …”
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    Article
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