Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions

Mohammed H. Aqlan, et al. "Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions." Open Mathematics 14.1 (2016): 723-735. <http://eudml.org/doc/287142>.

@article{MohammedH2016,
abstract = {We develop the existence theory for sequential fractional differential equations involving Liouville-Caputo fractional derivative equipped with anti-periodic type (non-separated) and nonlocal integral boundary conditions. Several existence criteria depending on the nonlinearity involved in the problems are presented by means of a variety of tools of the fixed point theory. The applicability of the results is shown with the aid of examples. Our results are not only new in the given configuration but also yield some new special cases for specific choices of parameters involved in the problems.},
author = {Mohammed H. Aqlan, Ahmed Alsaedi, Bashir Ahmad, Juan J. Nieto},
journal = {Open Mathematics},
keywords = {Sequential fractional differential equations; Liouville-Caputo; Anti-periodic; Nonlocal; Existence; Fixed point; sequential fractional differential equations; anti-periodic; nonlocal; existence; fixed point},
language = {eng},
number = {1},
pages = {723-735},
title = {Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions},
url = {http://eudml.org/doc/287142},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Mohammed H. Aqlan
AU - Ahmed Alsaedi
AU - Bashir Ahmad
AU - Juan J. Nieto
TI - Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 723
EP - 735
AB - We develop the existence theory for sequential fractional differential equations involving Liouville-Caputo fractional derivative equipped with anti-periodic type (non-separated) and nonlocal integral boundary conditions. Several existence criteria depending on the nonlinearity involved in the problems are presented by means of a variety of tools of the fixed point theory. The applicability of the results is shown with the aid of examples. Our results are not only new in the given configuration but also yield some new special cases for specific choices of parameters involved in the problems.
LA - eng
KW - Sequential fractional differential equations; Liouville-Caputo; Anti-periodic; Nonlocal; Existence; Fixed point; sequential fractional differential equations; anti-periodic; nonlocal; existence; fixed point
UR - http://eudml.org/doc/287142
ER -