Integrable solutions for implicit fractional order functional differential equations with infinite delay

Mouffak Benchohra; Mohammed Said Souid

Archivum Mathematicum (2015)

  • Volume: 051, Issue: 2, page 67-76
  • ISSN: 0044-8753

Abstract

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In this paper we study the existence of integrable solutions for initial value problem for implicit fractional order functional differential equations with infinite delay. Our results are based on Schauder type fixed point theorem and the Banach contraction principle fixed point theorem.

How to cite

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Benchohra, Mouffak, and Souid, Mohammed Said. "Integrable solutions for implicit fractional order functional differential equations with infinite delay." Archivum Mathematicum 051.2 (2015): 67-76. <http://eudml.org/doc/270100>.

@article{Benchohra2015,
abstract = {In this paper we study the existence of integrable solutions for initial value problem for implicit fractional order functional differential equations with infinite delay. Our results are based on Schauder type fixed point theorem and the Banach contraction principle fixed point theorem.},
author = {Benchohra, Mouffak, Souid, Mohammed Said},
journal = {Archivum Mathematicum},
keywords = {implicit fractional-order differential equation; Caputo fractional derivative; integrable solution; existence fixed point; infinite delay},
language = {eng},
number = {2},
pages = {67-76},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Integrable solutions for implicit fractional order functional differential equations with infinite delay},
url = {http://eudml.org/doc/270100},
volume = {051},
year = {2015},
}

TY - JOUR
AU - Benchohra, Mouffak
AU - Souid, Mohammed Said
TI - Integrable solutions for implicit fractional order functional differential equations with infinite delay
JO - Archivum Mathematicum
PY - 2015
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 051
IS - 2
SP - 67
EP - 76
AB - In this paper we study the existence of integrable solutions for initial value problem for implicit fractional order functional differential equations with infinite delay. Our results are based on Schauder type fixed point theorem and the Banach contraction principle fixed point theorem.
LA - eng
KW - implicit fractional-order differential equation; Caputo fractional derivative; integrable solution; existence fixed point; infinite delay
UR - http://eudml.org/doc/270100
ER -

References

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