# 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

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topBashir 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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