Nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions

Bashir Ahmad; Sotiris K. Ntouyas

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2012)

  • Volume: 32, Issue: 1, page 45-62
  • ISSN: 1509-9407

Abstract

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This article studies a boundary value problem of nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions. Some existence results are obtained via fixed point theorems. The cases of convex-valued and nonconvex-valued right hand sides are considered. Several new results appear as a special case of the results of this paper.

How to cite

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Bashir Ahmad, and Sotiris K. Ntouyas. "Nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 32.1 (2012): 45-62. <http://eudml.org/doc/270768>.

@article{BashirAhmad2012,
abstract = {This article studies a boundary value problem of nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions. Some existence results are obtained via fixed point theorems. The cases of convex-valued and nonconvex-valued right hand sides are considered. Several new results appear as a special case of the results of this paper.},
author = {Bashir Ahmad, Sotiris K. Ntouyas},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {fractional differential inclusions; anti-periodic; integral boundary conditions; existence; fixed point theorems},
language = {eng},
number = {1},
pages = {45-62},
title = {Nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions},
url = {http://eudml.org/doc/270768},
volume = {32},
year = {2012},
}

TY - JOUR
AU - Bashir Ahmad
AU - Sotiris K. Ntouyas
TI - Nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2012
VL - 32
IS - 1
SP - 45
EP - 62
AB - This article studies a boundary value problem of nonlinear fractional differential inclusions with anti-periodic type integral boundary conditions. Some existence results are obtained via fixed point theorems. The cases of convex-valued and nonconvex-valued right hand sides are considered. Several new results appear as a special case of the results of this paper.
LA - eng
KW - fractional differential inclusions; anti-periodic; integral boundary conditions; existence; fixed point theorems
UR - http://eudml.org/doc/270768
ER -

References

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