1Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia 2Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia 3Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 2, pp. 121-140
Citer cet article
Bashir Ahmad; Ahmed Alsaedi; Manal Alblewi; Sotiris K. Ntouyas; Bashir Ahmad; Ahmed Alsaedi; Manal Alblewi; Sotiris K. Ntouyas. An existence result for multi-term fractional integro-differential inclusions via nonlinear alternative for multi-valued contractive maps. Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 2, pp. 121-140. http://geodesic.mathdoc.fr/item/AMUC_2022_91_2_a2/
@article{AMUC_2022_91_2_a2,
author = {Bashir Ahmad and Ahmed Alsaedi and Manal Alblewi and Sotiris K. Ntouyas and Bashir Ahmad and Ahmed Alsaedi and Manal Alblewi and Sotiris K. Ntouyas},
title = { An existence result for multi-term fractional integro-differential inclusions via nonlinear alternative for multi-valued contractive maps},
journal = {Acta mathematica Universitatis Comenianae},
pages = {121--140},
year = {2022},
volume = {91},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2022_91_2_a2/}
}
TY - JOUR
AU - Bashir Ahmad
AU - Ahmed Alsaedi
AU - Manal Alblewi
AU - Sotiris K. Ntouyas
AU - Bashir Ahmad
AU - Ahmed Alsaedi
AU - Manal Alblewi
AU - Sotiris K. Ntouyas
TI - An existence result for multi-term fractional integro-differential inclusions via nonlinear alternative for multi-valued contractive maps
JO - Acta mathematica Universitatis Comenianae
PY - 2022
SP - 121
EP - 140
VL - 91
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2022_91_2_a2/
ID - AMUC_2022_91_2_a2
ER -
%0 Journal Article
%A Bashir Ahmad
%A Ahmed Alsaedi
%A Manal Alblewi
%A Sotiris K. Ntouyas
%A Bashir Ahmad
%A Ahmed Alsaedi
%A Manal Alblewi
%A Sotiris K. Ntouyas
%T An existence result for multi-term fractional integro-differential inclusions via nonlinear alternative for multi-valued contractive maps
%J Acta mathematica Universitatis Comenianae
%D 2022
%P 121-140
%V 91
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2022_91_2_a2/
%F AMUC_2022_91_2_a2
In this paper, by applying nonlinear alternative for multi-valued contractive maps, we establish an existence result for a new class of boundary value problems consisting of a nonlinear multi-term fractional integro-differential inclusion involving Caputo derivatives supplemented with non-separated nonlocal integro-multipoint boundary conditions. The obtained result is well illustrated by a numerical example. Several new results appear as special cases of the main result.
