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Wyniki wyszukiwania dla: Riesz space-fractional equations

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Wyniki wyszukiwania dla: Riesz space-fractional equations

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Wyniki wyszukiwania dla: Riesz space-fractional equations

  • A Fortran-95 algorithm to solve the three-dimensional Higgs boson equation in the de Sitter space-time

    Dane Badawcze
    open access

    A numerically efficient finite-difference technique for the solution of a fractional extension of the Higgs boson equation in the de Sitter space-time is designed. The model under investigation is a multidimensional equation with Riesz fractional derivatives of orders in (0,1)U(1,2], which considers a generalized potential and a time-dependent diffusion...

  • Systems of Nonlinear Fractional Differential Equations

    Publikacja

    - Fractional Calculus and Applied Analysis - Rok 2015

    Using the iterative method, this paper investigates the existence of a unique solution to systems of nonlinear fractional differential equations, which involve the right-handed Riemann-Liouville fractional derivatives D(T)(q)x and D(T)(q)y. Systems of linear fractional differential equations are also discussed. Two examples are added to illustrate the results.

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  • Boundary problems for fractional differential equations

    Publikacja

    - APPLIED MATHEMATICS LETTERS - Rok 2014

    In this paper, the existence of solutions of fractional differential equations with nonlinear boundary conditions is investigated. The monotone iterative method combined with lower and upper solutions is applied. Fractional differential inequalities are also discussed. Two examples are added to illustrate the results.

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  • Fractional differential equations with causal operators

    Publikacja

    - Advances in Difference Equations - Rok 2015

    We study fractional differential equations with causal operators. The existence of solutions is obtained by applying the successive approximate method. Some applications are discussed including also the case when causal operator Q is a linear operator. Examples illustrate some results.

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  • Functional delay fractional equations

    Publikacja

    - Fractional Calculus and Applied Analysis - Rok 2016

    In this paper, we discuss functional delay fractional equations. A Banach fixed point theorem is applied to obtain the existence (uniqueness) theorem. We also discuss such problems when a delay argument has a form α(t) = αt, 0 < α < 1, by Rusing the method of successive approximations. Some existence results are also formulated in this case. An example illustrates the main result.

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