Boundary Value Problems for Differential Equations with Fractional Order and Nonlinear Integral Conditions

Mouffak Benchohra; Samira Hamani

Commentationes Mathematicae (2009)

  • Volume: 49, Issue: 2
  • ISSN: 2080-1211

Abstract

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In this paper, we shall establish sufficient conditions for the existence of solutions for a class of boundary value problem for fractional differential equations involving the Caputo fractional derivative and nonlinear integral conditions.

How to cite

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Mouffak Benchohra, and Samira Hamani. "Boundary Value Problems for Differential Equations with Fractional Order and Nonlinear Integral Conditions." Commentationes Mathematicae 49.2 (2009): null. <http://eudml.org/doc/292268>.

@article{MouffakBenchohra2009,
abstract = {In this paper, we shall establish sufficient conditions for the existence of solutions for a class of boundary value problem for fractional differential equations involving the Caputo fractional derivative and nonlinear integral conditions.},
author = {Mouffak Benchohra, Samira Hamani},
journal = {Commentationes Mathematicae},
keywords = {boundary value problem; Caputo fractional derivative; fractional integral; existence; uniqueness; fixed point; integral conditions},
language = {eng},
number = {2},
pages = {null},
title = {Boundary Value Problems for Differential Equations with Fractional Order and Nonlinear Integral Conditions},
url = {http://eudml.org/doc/292268},
volume = {49},
year = {2009},
}

TY - JOUR
AU - Mouffak Benchohra
AU - Samira Hamani
TI - Boundary Value Problems for Differential Equations with Fractional Order and Nonlinear Integral Conditions
JO - Commentationes Mathematicae
PY - 2009
VL - 49
IS - 2
SP - null
AB - In this paper, we shall establish sufficient conditions for the existence of solutions for a class of boundary value problem for fractional differential equations involving the Caputo fractional derivative and nonlinear integral conditions.
LA - eng
KW - boundary value problem; Caputo fractional derivative; fractional integral; existence; uniqueness; fixed point; integral conditions
UR - http://eudml.org/doc/292268
ER -

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