Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces

Djamila Seba

Mathematica Bohemica (2017)

  • Volume: 142, Issue: 3, page 309-321
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Seba, Djamila. "Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces." Mathematica Bohemica 142.3 (2017): 309-321. <http://eudml.org/doc/294083>.

@article{Seba2017,
abstract = {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.},
author = {Seba, Djamila},
journal = {Mathematica Bohemica},
keywords = {differential inclusion; Caputo fractional derivative; nonlocal boundary conditions; Banach space; existence; fixed point; measure of noncompactness},
language = {eng},
number = {3},
pages = {309-321},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces},
url = {http://eudml.org/doc/294083},
volume = {142},
year = {2017},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 142
IS - 3
SP - 309
EP - 321
AB - 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.
LA - eng
KW - differential inclusion; Caputo fractional derivative; nonlocal boundary conditions; Banach space; existence; fixed point; measure of noncompactness
UR - http://eudml.org/doc/294083
ER -

References

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