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Global uniqueness results for fractional partial hyperbolic differential equations with state-dependent delay

Volume 110 / 2014

Mouffak Benchohra, Mohamed Hellal Annales Polonici Mathematici 110 (2014), 259-281 MSC: Primary 26A33; Secondary 34K30, 34K37, 35R11. DOI: 10.4064/ap110-3-4

Abstract

We investigate the existence and uniqueness of solutions of hyperbolic fractional order differential equations with state-dependent delay by using a nonlinear alternative of Leray–Schauder type due to Frigon and Granas for contraction maps on Fréchet spaces.

Authors

  • Mouffak BenchohraLaboratory of Mathematics
    University of Sidi Bel-Abbès
    P.O. Box 89
    22000, Sidi Bel-Abbès, Algeria
    and
    Department of Mathematics
    Faculty of Science
    King Abdulaziz University
    P.O. Box 80203
    Jeddah 21589, Saudi Arabia
    e-mail
  • Mohamed HellalLaboratory of Mathematics
    University of Sidi Bel-Abbès
    P.O. Box 89
    22000, Sidi Bel-Abbès, Algeria
    e-mail

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