Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces
Mathematica Bohemica, Tome 142 (2017) no. 3, pp. 309-321.
Voir la notice de l'article dans Czech Digital Mathematics Library
We consider a nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in a Banach space. The existence of at least one solution is proved by using the set-valued analog of Mönch fixed point theorem associated with the technique of measures of noncompactness.
DOI :
10.21136/MB.2017.0041-16
Classification :
26A33, 34A08, 34A60, 34B10, 34B15
Mots-clés : differential inclusion; Caputo fractional derivative; nonlocal boundary conditions; Banach space; existence; fixed point; measure of noncompactness
Mots-clés : differential inclusion; Caputo fractional derivative; nonlocal boundary conditions; Banach space; existence; fixed point; measure of noncompactness
@article{10_21136_MB_2017_0041_16, author = {Seba, Djamila}, title = {Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in {Banach} spaces}, journal = {Mathematica Bohemica}, pages = {309--321}, publisher = {mathdoc}, volume = {142}, number = {3}, year = {2017}, doi = {10.21136/MB.2017.0041-16}, mrnumber = {3695469}, zbl = {06770148}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2017.0041-16/} }
TY - JOUR AU - Seba, Djamila TI - Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces JO - Mathematica Bohemica PY - 2017 SP - 309 EP - 321 VL - 142 IS - 3 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2017.0041-16/ DO - 10.21136/MB.2017.0041-16 LA - en ID - 10_21136_MB_2017_0041_16 ER -
%0 Journal Article %A Seba, Djamila %T Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces %J Mathematica Bohemica %D 2017 %P 309-321 %V 142 %N 3 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2017.0041-16/ %R 10.21136/MB.2017.0041-16 %G en %F 10_21136_MB_2017_0041_16
Seba, Djamila. Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces. Mathematica Bohemica, Tome 142 (2017) no. 3, pp. 309-321. doi : 10.21136/MB.2017.0041-16. https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2017.0041-16/
Cité par Sources :