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

Saïd Abbas; Wafaa A. Albarakati; Mouffak Benchohra; Mohamed Abdalla Darwish; Eman M. Hilal

Annales Polonici Mathematici (2015)

  • Volume: 114, Issue: 1, page 81-100
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Saïd Abbas, et al. "New existence and stability results for partial fractional differential inclusions with multiple delay." Annales Polonici Mathematici 114.1 (2015): 81-100. <http://eudml.org/doc/280332>.

@article{SaïdAbbas2015,
abstract = {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.},
author = {Saïd Abbas, Wafaa A. Albarakati, Mouffak Benchohra, Mohamed Abdalla Darwish, Eman M. Hilal},
journal = {Annales Polonici Mathematici},
keywords = {fractional differential inclusion; left-sided mixed Riemann-Liouville integral; Caputo fractional order derivative; Darboux problem; fixed point; multiple delay; noninstantaneous impulses; Ulam-Hyers-Rassias stability},
language = {eng},
number = {1},
pages = {81-100},
title = {New existence and stability results for partial fractional differential inclusions with multiple delay},
url = {http://eudml.org/doc/280332},
volume = {114},
year = {2015},
}

TY - JOUR
AU - Saïd Abbas
AU - Wafaa A. Albarakati
AU - Mouffak Benchohra
AU - Mohamed Abdalla Darwish
AU - Eman M. Hilal
TI - New existence and stability results for partial fractional differential inclusions with multiple delay
JO - Annales Polonici Mathematici
PY - 2015
VL - 114
IS - 1
SP - 81
EP - 100
AB - 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.
LA - eng
KW - fractional differential inclusion; left-sided mixed Riemann-Liouville integral; Caputo fractional order derivative; Darboux problem; fixed point; multiple delay; noninstantaneous impulses; Ulam-Hyers-Rassias stability
UR - http://eudml.org/doc/280332
ER -

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