Ulam Stabilities for Partial Impulsive Fractional Differential Equations

Saïd Abbas; Mouffak Benchohra; Juan J. Nieto

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2014)

  • Volume: 53, Issue: 1, page 5-17
  • ISSN: 0231-9721

Abstract

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In this paper we investigate the existence of solutions for the initial value problems (IVP for short), for a class of implicit impulsive hyperbolic differential equations by using the lower and upper solutions method combined with Schauder’s fixed point theorem.

How to cite

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Abbas, Saïd, Benchohra, Mouffak, and Nieto, Juan J.. "Ulam Stabilities for Partial Impulsive Fractional Differential Equations." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 53.1 (2014): 5-17. <http://eudml.org/doc/261969>.

@article{Abbas2014,
abstract = {In this paper we investigate the existence of solutions for the initial value problems (IVP for short), for a class of implicit impulsive hyperbolic differential equations by using the lower and upper solutions method combined with Schauder’s fixed point theorem.},
author = {Abbas, Saïd, Benchohra, Mouffak, Nieto, Juan J.},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {fractional differential equations; impulse; Caputo fractional order derivative; left-sided mixed Riemann–Liouville integral; Darboux problem; Ulam stability; fractional differential equations; impulse; Caputo fractional order derivative; left-sided mixed Riemann-Liouville integral; Darboux problem; Ulam stability},
language = {eng},
number = {1},
pages = {5-17},
publisher = {Palacký University Olomouc},
title = {Ulam Stabilities for Partial Impulsive Fractional Differential Equations},
url = {http://eudml.org/doc/261969},
volume = {53},
year = {2014},
}

TY - JOUR
AU - Abbas, Saïd
AU - Benchohra, Mouffak
AU - Nieto, Juan J.
TI - Ulam Stabilities for Partial Impulsive Fractional Differential Equations
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2014
PB - Palacký University Olomouc
VL - 53
IS - 1
SP - 5
EP - 17
AB - In this paper we investigate the existence of solutions for the initial value problems (IVP for short), for a class of implicit impulsive hyperbolic differential equations by using the lower and upper solutions method combined with Schauder’s fixed point theorem.
LA - eng
KW - fractional differential equations; impulse; Caputo fractional order derivative; left-sided mixed Riemann–Liouville integral; Darboux problem; Ulam stability; fractional differential equations; impulse; Caputo fractional order derivative; left-sided mixed Riemann-Liouville integral; Darboux problem; Ulam stability
UR - http://eudml.org/doc/261969
ER -

References

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