Contents V.10, N.1, 2019

  • HILFER AND HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS IN FRECHET SPACES
    SA¨ID ABBAS, MOUFFAK BENCHOHRA, NAIMA HAMIDI AND JUAN J. NIETO (pp. 102-116)

    • Abstract.

    In this paper, by using the fixed point theory and the technique relying on the concept of measure of noncompactness in Fr´echet spaces, we prove some existence and Ulam– Hyers–Rassias stability results for some Hilfer and Hilfer–Hadamard fractional differential equations.

    Keywords:

    fractional differential equation, left-sided mixed integral, fractional order, Hilfer fractional derivative, measure of noncompactness, Fr´echet space, existence, Ulam stability, fixed point.

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