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New existence and stability results for partial fractional differential inclusions with multiple delay

Tom 114 / 2015

Saïd Abbas, Wafaa A. Albarakati, Mouffak Benchohra, Mohamed Abdalla Darwish, Eman M. Hilal Annales Polonici Mathematici 114 (2015), 81-100 MSC: Primary 26A33; Secondary 34A37, 34D10. DOI: 10.4064/ap114-1-6

Streszczenie

We discuss the existence of solutions and Ulam's type stability concepts for a class of partial functional fractional differential inclusions with noninstantaneous impulses and a nonconvex valued right hand side in Banach spaces. An example is provided to illustrate our results.

Autorzy

  • Saïd AbbasLaboratory of Mathematics
    University of Saïda
    PO Box 138, 20000 Saïda, Algeria
    e-mail
  • Wafaa A. AlbarakatiDepartment of Mathematics
    Faculty of Science
    King Abdulaziz University
    Jeddah, Saudi Arabia
    e-mail
  • Mouffak BenchohraLaboratory of Mathematics
    University of Sidi Bel-Abbès
    PO Box 89, 22000 Sidi Bel-Abbès, Algeria
    E-mail: benchohra@yahoo.com
    and
    Department of Mathematics
    Faculty of Science
    King Abdulaziz University
    Jeddah, Saudi Arabia
  • Mohamed Abdalla DarwishDepartment of Mathematics
    Sciences Faculty for Girls
    King Abdulaziz University
    Jeddah, Saudi Arabia
    e-mail
  • Eman M. HilalDepartment of Mathematics
    Sciences Faculty for Girls
    King Abdulaziz University
    Jeddah, Saudi Arabia
    e-mail

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