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

Mouffak Benchohra; Mohamed Hellal

Annales Polonici Mathematici (2014)

  • Volume: 110, Issue: 3, page 259-281
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Mouffak Benchohra, and Mohamed Hellal. "Global uniqueness results for fractional partial hyperbolic differential equations with state-dependent delay." Annales Polonici Mathematici 110.3 (2014): 259-281. <http://eudml.org/doc/280374>.

@article{MouffakBenchohra2014,
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.},
author = {Mouffak Benchohra, Mohamed Hellal},
journal = {Annales Polonici Mathematici},
keywords = {partial functional-differential equation; Caputo fractional-order derivative; state-dependent delay; fixed point; Fréchet space},
language = {eng},
number = {3},
pages = {259-281},
title = {Global uniqueness results for fractional partial hyperbolic differential equations with state-dependent delay},
url = {http://eudml.org/doc/280374},
volume = {110},
year = {2014},
}

TY - JOUR
AU - Mouffak Benchohra
AU - Mohamed Hellal
TI - Global uniqueness results for fractional partial hyperbolic differential equations with state-dependent delay
JO - Annales Polonici Mathematici
PY - 2014
VL - 110
IS - 3
SP - 259
EP - 281
AB - 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.
LA - eng
KW - partial functional-differential equation; Caputo fractional-order derivative; state-dependent delay; fixed point; Fréchet space
UR - http://eudml.org/doc/280374
ER -

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