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Works cited by this work

24 works

Work: Well-Posedness of Problems for the Heat Equation with a Fractional-Loaded Term and Memory

  1. Applications of Fractional Calculus in Physics

    R. Hilfer

    Book200065 citations
    ABI

  2. Inverse and Ill-posed Problems

    Sergey Kabanikhin

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  3. Problem of Determining the Thermal Memory of a ConductingMedium

    D. K. Durdiev, Zh. Zh. Zhumaev

    ArticleThermoelastic and Magnetoelastic PhenomenaDifferential Equations202043 citations
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  4. Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

    Kenichi Sakamoto, Masahiro Yamamoto

    Article201139 citations
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  5. The random walk's guide to anomalous diffusion: a fractional dynamics approach

    Ralf Metzler, J. Klafter

    Article200035 citations
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  6. Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients

    Zhiyuan Li, Yikan Liu, Masahiro Yamamoto

    Article201417 citations
    ABI

  7. A Priori Estimates for Solutions of Boundary Value Problems for Fractional-Order Equations

    Anatoly A. Alikhanov

    Article201612 citations
    ABI

  8. Analog of the Darboux problem for a loaded integro-differential equation involving the Caputo fractional derivative

    Umida Baltaeva, Yolqin Alikulov, Iroda Ismailovna Baltaeva +1

    ArticleDifferential Equations and Boundary ProblemsNanosystems Physics Chemistry Mathematics202110 citations
    ABI

  9. A backward problem for the time-fractional diffusion equation

    J.J. Liu, Masahiro Yamamoto

    Article20109 citations
    ABI

  10. Maximum principle for the generalized time-fractional diffusion equation

    Yury Luchko

    Article20086 citations
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  11. Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media

    Vasily E. Tarasov, Vasilij E. Tarasov

    Book20116 citations
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  12. Fractional Calculus and Waves in Linear Viscoelasticity

    Francesco Mainardi

    Book20105 citations
    ABI

  13. The One-Dimensional Heat Equation

    John R. Cannon, Felix E. Browder

    Book19843 citations
    ABI

  14. Existence and uniqueness of  the solution to initial and inverse problems for integro-differential heat equations with fractional load

    Ravi P. Agarwal, Umida Baltaeva, Florence Hubert +1

    ArticleNumerical methods in inverse problemsElectronic Journal of Differential Equations20242 citations
    ABI

  15. Stability and convergence of the difference methods for the space–time fractional advection–diffusion equation

    Fawang Liu, Peixian Zhuang, Vo Anh +2

    Article20072 citations
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  16. Cauchy problem for a loaded hyperbolic equation with the Bessel operator

    Umida Baltaeva, Bobur Khasanov

    ArticleDifferential Equations and Boundary ProblemsMathematica Slovaca20242 citations
    ABI

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    Other1 citations
    ABI

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    Other1 citations
    ABI

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    Other1 citations
    ABI

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    Other1 citations
    ABI

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    Other1 citations
    ABI

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    Other1 citations
    ABI

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    Other1 citations
    ABI

  24. Self-Similar Solutions of a Multidimensional Degenerate Partial Differential Equation of the Third Order

    Айнур Рыскан, Zafarjon O. Arzikulov, Tuhtasin Ergashev +1

    ArticleFluid Dynamics and Thin FilmsMathematics20241 citations
    ABI