Contents V.6, N.1, 2015

  • On the Existence of Solutions in Coupled System of Non-Linear Fractional Integro-Differential Equations on the Half Line
    A. Babakhani (pp. 48-58)

    • Abstract.

    In the present work we discuss the existence of solutions for a system of nonlinear fractional integro-differential equations with initial conditions. This system involving the Caputo fractional derivative and Riemann−Liouville fractional integral. Our results are based on a fixed point theorem of Schauder combined with the diagonalization method.

    Keywords:

    fractional derivative/integral, Banach space, diagonalization method, uniform norm, Green‘s function, completely continuous operator, equicontinuous set

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