System of fractional differential equations with Erdélyi-Kober fractional integral conditions
Natthaphong Thongsalee; Sorasak Laoprasittichok; Sotiris K. Ntouyas; Jessada Tariboon
Open Mathematics (2015)
- Volume: 13, Issue: 1, page 480-497
- ISSN: 2391-5455
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topNatthaphong Thongsalee, et al. "System of fractional differential equations with Erdélyi-Kober fractional integral conditions." Open Mathematics 13.1 (2015): 480-497. <http://eudml.org/doc/275910>.
@article{NatthaphongThongsalee2015,
abstract = {In this paper we study existence and uniqueness of solutions for a system consisting from fractional differential equations of Riemann-Liouville type subject to nonlocal Erdélyi-Kober fractional integral conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. Examples illustrating our results are also presented.},
author = {Natthaphong Thongsalee, Sorasak Laoprasittichok, Sotiris K. Ntouyas, Jessada Tariboon},
journal = {Open Mathematics},
keywords = {Riemann-Liouville fractional derivative; Erdélyi-Kober fractional integral; System; Existence; Uniqueness; fixed point theorems; fractional differential equations; nonlocal boundary conditions; fixed point theorem},
language = {eng},
number = {1},
pages = {480-497},
title = {System of fractional differential equations with Erdélyi-Kober fractional integral conditions},
url = {http://eudml.org/doc/275910},
volume = {13},
year = {2015},
}
TY - JOUR
AU - Natthaphong Thongsalee
AU - Sorasak Laoprasittichok
AU - Sotiris K. Ntouyas
AU - Jessada Tariboon
TI - System of fractional differential equations with Erdélyi-Kober fractional integral conditions
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - 480
EP - 497
AB - In this paper we study existence and uniqueness of solutions for a system consisting from fractional differential equations of Riemann-Liouville type subject to nonlocal Erdélyi-Kober fractional integral conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. Examples illustrating our results are also presented.
LA - eng
KW - Riemann-Liouville fractional derivative; Erdélyi-Kober fractional integral; System; Existence; Uniqueness; fixed point theorems; fractional differential equations; nonlocal boundary conditions; fixed point theorem
UR - http://eudml.org/doc/275910
ER -
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