Semilinear fractional order integro-differential equations with infinite delay in Banach spaces

Khalida Aissani; Mouffak Benchohra

Archivum Mathematicum (2013)

  • Volume: 049, Issue: 2, page 105-117
  • ISSN: 0044-8753

Abstract

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This paper concerns the existence of mild solutions for fractional order integro-differential equations with infinite delay. Our analysis is based on the technique of Kuratowski’s measure of noncompactness and Mönch’s fixed point theorem. An example to illustrate the applications of main results is given.

How to cite

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Aissani, Khalida, and Benchohra, Mouffak. "Semilinear fractional order integro-differential equations with infinite delay in Banach spaces." Archivum Mathematicum 049.2 (2013): 105-117. <http://eudml.org/doc/260750>.

@article{Aissani2013,
abstract = {This paper concerns the existence of mild solutions for fractional order integro-differential equations with infinite delay. Our analysis is based on the technique of Kuratowski’s measure of noncompactness and Mönch’s fixed point theorem. An example to illustrate the applications of main results is given.},
author = {Aissani, Khalida, Benchohra, Mouffak},
journal = {Archivum Mathematicum},
keywords = {semilinear differential equations; Caputo fractional derivative; mild solution; measure of noncompactness; fixed point; semigroup; Banach space; semilinear differential equations; Caputo fractional derivative; mild solution; measure of noncompactness; fixed point; semigroup; Banach space},
language = {eng},
number = {2},
pages = {105-117},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Semilinear fractional order integro-differential equations with infinite delay in Banach spaces},
url = {http://eudml.org/doc/260750},
volume = {049},
year = {2013},
}

TY - JOUR
AU - Aissani, Khalida
AU - Benchohra, Mouffak
TI - Semilinear fractional order integro-differential equations with infinite delay in Banach spaces
JO - Archivum Mathematicum
PY - 2013
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 049
IS - 2
SP - 105
EP - 117
AB - This paper concerns the existence of mild solutions for fractional order integro-differential equations with infinite delay. Our analysis is based on the technique of Kuratowski’s measure of noncompactness and Mönch’s fixed point theorem. An example to illustrate the applications of main results is given.
LA - eng
KW - semilinear differential equations; Caputo fractional derivative; mild solution; measure of noncompactness; fixed point; semigroup; Banach space; semilinear differential equations; Caputo fractional derivative; mild solution; measure of noncompactness; fixed point; semigroup; Banach space
UR - http://eudml.org/doc/260750
ER -

References

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