Existence results for systems of conformable fractional differential equations

Bouharket Bendouma; Alberto Cabada; Ahmed Hammoudi

Archivum Mathematicum (2019)

  • Volume: 055, Issue: 2, page 69-82
  • ISSN: 0044-8753

Abstract

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In this article, we study the existence of solutions to systems of conformable fractional differential equations with periodic boundary value or initial value conditions. where the right member of the system is L α 1 -carathéodory function. We employ the method of solution-tube and Schauder’s fixed-point theorem.

How to cite

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Bendouma, Bouharket, Cabada, Alberto, and Hammoudi, Ahmed. "Existence results for systems of conformable fractional differential equations." Archivum Mathematicum 055.2 (2019): 69-82. <http://eudml.org/doc/294730>.

@article{Bendouma2019,
abstract = {In this article, we study the existence of solutions to systems of conformable fractional differential equations with periodic boundary value or initial value conditions. where the right member of the system is $L^\{1\}_\{\alpha \}$-carathéodory function. We employ the method of solution-tube and Schauder’s fixed-point theorem.},
author = {Bendouma, Bouharket, Cabada, Alberto, Hammoudi, Ahmed},
journal = {Archivum Mathematicum},
keywords = {conformable fractional calculus; conformable fractional differential equations; solution-tube; Schauder’s fixed-point theorem; fractional Sobolev’s spaces},
language = {eng},
number = {2},
pages = {69-82},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Existence results for systems of conformable fractional differential equations},
url = {http://eudml.org/doc/294730},
volume = {055},
year = {2019},
}

TY - JOUR
AU - Bendouma, Bouharket
AU - Cabada, Alberto
AU - Hammoudi, Ahmed
TI - Existence results for systems of conformable fractional differential equations
JO - Archivum Mathematicum
PY - 2019
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 055
IS - 2
SP - 69
EP - 82
AB - In this article, we study the existence of solutions to systems of conformable fractional differential equations with periodic boundary value or initial value conditions. where the right member of the system is $L^{1}_{\alpha }$-carathéodory function. We employ the method of solution-tube and Schauder’s fixed-point theorem.
LA - eng
KW - conformable fractional calculus; conformable fractional differential equations; solution-tube; Schauder’s fixed-point theorem; fractional Sobolev’s spaces
UR - http://eudml.org/doc/294730
ER -

References

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