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

Mouffak Benchohra; Mohamed Hellal

doi:10.4064/ap110-3-4

Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

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

Tom 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

Streszczenie

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.

Autorzy

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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