Existence results for nonlocal boundary value problems for fractional differential equations and inclusions with fractional integral boundary conditions

Sotiris K. Ntouyas

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2013)

  • Volume: 33, Issue: 1, page 17-39
  • ISSN: 1509-9407

Abstract

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This paper studies a new class of nonlocal boundary value problems of nonlinear differential equations and inclusions of fractional order with fractional integral boundary conditions. Some new existence results are obtained by using standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also discussed.

How to cite

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Sotiris K. Ntouyas. "Existence results for nonlocal boundary value problems for fractional differential equations and inclusions with fractional integral boundary conditions." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 33.1 (2013): 17-39. <http://eudml.org/doc/270283>.

@article{SotirisK2013,
abstract = {This paper studies a new class of nonlocal boundary value problems of nonlinear differential equations and inclusions of fractional order with fractional integral boundary conditions. Some new existence results are obtained by using standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also discussed.},
author = {Sotiris K. Ntouyas},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {fractional differential equations; fractional differential inclusions; nonlocal boundary conditions; fixed point theorems; Leray-Schauder degree},
language = {eng},
number = {1},
pages = {17-39},
title = {Existence results for nonlocal boundary value problems for fractional differential equations and inclusions with fractional integral boundary conditions},
url = {http://eudml.org/doc/270283},
volume = {33},
year = {2013},
}

TY - JOUR
AU - Sotiris K. Ntouyas
TI - Existence results for nonlocal boundary value problems for fractional differential equations and inclusions with fractional integral boundary conditions
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2013
VL - 33
IS - 1
SP - 17
EP - 39
AB - This paper studies a new class of nonlocal boundary value problems of nonlinear differential equations and inclusions of fractional order with fractional integral boundary conditions. Some new existence results are obtained by using standard fixed point theorems and Leray-Schauder degree theory. Some illustrative examples are also discussed.
LA - eng
KW - fractional differential equations; fractional differential inclusions; nonlocal boundary conditions; fixed point theorems; Leray-Schauder degree
UR - http://eudml.org/doc/270283
ER -

References

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