1Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia 2Department of Mathematics, University of Ioannina, Ioannina, Greece; Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia 3Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok, Thailand
Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 1, pp. 169-183
Citer cet article
Bashir Ahmad; Sotiris K. Ntouyas; Jessada Tariboon; Bashir Ahmad; Sotiris K. Ntouyas; Jessada Tariboon. On inclusion problems involving Caputo and Hadamard fractional derivatives. Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 1, pp. 169-183. http://geodesic.mathdoc.fr/item/AMUC_2020_89_1_a16/
@article{AMUC_2020_89_1_a16,
author = {Bashir Ahmad and Sotiris K. Ntouyas and Jessada Tariboon and Bashir Ahmad and Sotiris K. Ntouyas and Jessada Tariboon},
title = { On inclusion problems involving {Caputo} and {Hadamard} fractional derivatives},
journal = {Acta mathematica Universitatis Comenianae},
pages = {169--183},
year = {2020},
volume = {89},
number = {1},
url = {http://geodesic.mathdoc.fr/item/AMUC_2020_89_1_a16/}
}
TY - JOUR
AU - Bashir Ahmad
AU - Sotiris K. Ntouyas
AU - Jessada Tariboon
AU - Bashir Ahmad
AU - Sotiris K. Ntouyas
AU - Jessada Tariboon
TI - On inclusion problems involving Caputo and Hadamard fractional derivatives
JO - Acta mathematica Universitatis Comenianae
PY - 2020
SP - 169
EP - 183
VL - 89
IS - 1
UR - http://geodesic.mathdoc.fr/item/AMUC_2020_89_1_a16/
ID - AMUC_2020_89_1_a16
ER -
%0 Journal Article
%A Bashir Ahmad
%A Sotiris K. Ntouyas
%A Jessada Tariboon
%A Bashir Ahmad
%A Sotiris K. Ntouyas
%A Jessada Tariboon
%T On inclusion problems involving Caputo and Hadamard fractional derivatives
%J Acta mathematica Universitatis Comenianae
%D 2020
%P 169-183
%V 89
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2020_89_1_a16/
%F AMUC_2020_89_1_a16
In this paper, we study the existence of solutions to new inclusion problems involving both Caputo and Hadamard fractional derivatives, and separated boundary conditions. We apply the modern tools of the fixed point theory to study the cases when the multi-valued map (the right hand-side of the inclusions) takes convex as well as non-convex values. Examples illustrating the abstract results are also presented.
