Boundary value problems for fractional differential inclusions with four-point integral boundary conditions

In this paper, we discuss the existence of solutions for a boundary value problem of second order fractional differential inclusions with four-point integral boundary conditions involving convex and non-convex multivalued maps. Our results are based on the nonlinear alternative of Leray Schauder...

Full description

Bibliographic Details
Main Authors: Bashir Ahmad, Sotiris K. Ntouyas
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2011-12-01
Series:Surveys in Mathematics and its Applications
Subjects:
Online Access:http://www.utgjiu.ro/math/sma/v06/p13.pdf
id doaj-e70ff397eee14aa898b15da0d07e8c86
record_format Article
spelling doaj-e70ff397eee14aa898b15da0d07e8c862020-11-24T23:54:20ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982011-12-016 (2011)175193Boundary value problems for fractional differential inclusions with four-point integral boundary conditionsBashir Ahmad Sotiris K. NtouyasIn this paper, we discuss the existence of solutions for a boundary value problem of second order fractional differential inclusions with four-point integral boundary conditions involving convex and non-convex multivalued maps. Our results are based on the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory. http://www.utgjiu.ro/math/sma/v06/p13.pdfFractional differential inclusionsfour-point integral boundary conditionsexistencenonlinear alternative of Leray Schauder typefixed point theorems
collection DOAJ
language English
format Article
sources DOAJ
author Bashir Ahmad
Sotiris K. Ntouyas
spellingShingle Bashir Ahmad
Sotiris K. Ntouyas
Boundary value problems for fractional differential inclusions with four-point integral boundary conditions
Surveys in Mathematics and its Applications
Fractional differential inclusions
four-point integral boundary conditions
existence
nonlinear alternative of Leray Schauder type
fixed point theorems
author_facet Bashir Ahmad
Sotiris K. Ntouyas
author_sort Bashir Ahmad
title Boundary value problems for fractional differential inclusions with four-point integral boundary conditions
title_short Boundary value problems for fractional differential inclusions with four-point integral boundary conditions
title_full Boundary value problems for fractional differential inclusions with four-point integral boundary conditions
title_fullStr Boundary value problems for fractional differential inclusions with four-point integral boundary conditions
title_full_unstemmed Boundary value problems for fractional differential inclusions with four-point integral boundary conditions
title_sort boundary value problems for fractional differential inclusions with four-point integral boundary conditions
publisher University Constantin Brancusi of Targu-Jiu
series Surveys in Mathematics and its Applications
issn 1843-7265
1842-6298
publishDate 2011-12-01
description In this paper, we discuss the existence of solutions for a boundary value problem of second order fractional differential inclusions with four-point integral boundary conditions involving convex and non-convex multivalued maps. Our results are based on the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.
topic Fractional differential inclusions
four-point integral boundary conditions
existence
nonlinear alternative of Leray Schauder type
fixed point theorems
url http://www.utgjiu.ro/math/sma/v06/p13.pdf
work_keys_str_mv AT bashirahmad boundaryvalueproblemsforfractionaldifferentialinclusionswithfourpointintegralboundaryconditions
AT sotiriskntouyas boundaryvalueproblemsforfractionaldifferentialinclusionswithfourpointintegralboundaryconditions
_version_ 1725466199335108608