Existence results of solutions for impulsive fractional differential equations

Existence results of solutions for impulsive fractional differential equations

We analyze the existence of solution for the neutral fractional integro-differential equation (FDE) of order in the interval (1, 2] with impulsive and integral boundary conditions (IBCs). The key approach for outcomes are based on the non-compactness measures and fixed point techniques.We obtain som...

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Main Authors: Gupta Vidushi, Dabas Jaydev, Fečkan Michal
Format: Article
Language:English
Published: De Gruyter 2018-05-01
Series:Nonautonomous Dynamical Systems
Subjects:
Fractional order differential equation
Nonlocal conditions
Contractions
Impulsive conditions
Online Access:http://www.degruyter.com/view/j/msds.2018.5.issue-1/msds-2018-0003/msds-2018-0003.xml?format=INT
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spelling doaj-366df65d19c4454b8b086c88bb71073e2020-11-24T21:54:43ZengDe GruyterNonautonomous Dynamical Systems2353-06262018-05-0151355110.1515/msds-2018-0003msds-2018-0003Existence results of solutions for impulsive fractional differential equationsGupta Vidushi0Dabas Jaydev1Fečkan Michal2Department of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, Saharanpur-247001, IndiaDepartment of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, Saharanpur-247001, IndiaDepartment of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská dolina, 842 48 Bratislava, SlovakiaWe analyze the existence of solution for the neutral fractional integro-differential equation (FDE) of order in the interval (1, 2] with impulsive and integral boundary conditions (IBCs). The key approach for outcomes are based on the non-compactness measures and fixed point techniques.We obtain some sufficient conditions on the existence of solutions for the proposed system. Moreover, some applications are studies to demonstrate the proficiency and utility of the main results.http://www.degruyter.com/view/j/msds.2018.5.issue-1/msds-2018-0003/msds-2018-0003.xml?format=INTFractional order differential equationNonlocal conditionsContractionsImpulsive conditions
collection DOAJ
language English
format Article
sources DOAJ
author Gupta Vidushi
Dabas Jaydev
Fečkan Michal
spellingShingle Gupta Vidushi
Dabas Jaydev
Fečkan Michal
Existence results of solutions for impulsive fractional differential equations
Nonautonomous Dynamical Systems
Fractional order differential equation
Nonlocal conditions
Contractions
Impulsive conditions
author_facet Gupta Vidushi
Dabas Jaydev
Fečkan Michal
author_sort Gupta Vidushi
title Existence results of solutions for impulsive fractional differential equations
title_short Existence results of solutions for impulsive fractional differential equations
title_full Existence results of solutions for impulsive fractional differential equations
title_fullStr Existence results of solutions for impulsive fractional differential equations
title_full_unstemmed Existence results of solutions for impulsive fractional differential equations
title_sort existence results of solutions for impulsive fractional differential equations
publisher De Gruyter
series Nonautonomous Dynamical Systems
issn 2353-0626
publishDate 2018-05-01
description We analyze the existence of solution for the neutral fractional integro-differential equation (FDE) of order in the interval (1, 2] with impulsive and integral boundary conditions (IBCs). The key approach for outcomes are based on the non-compactness measures and fixed point techniques.We obtain some sufficient conditions on the existence of solutions for the proposed system. Moreover, some applications are studies to demonstrate the proficiency and utility of the main results.
topic Fractional order differential equation
Nonlocal conditions
Contractions
Impulsive conditions
url http://www.degruyter.com/view/j/msds.2018.5.issue-1/msds-2018-0003/msds-2018-0003.xml?format=INT
work_keys_str_mv AT guptavidushi existenceresultsofsolutionsforimpulsivefractionaldifferentialequations
AT dabasjaydev existenceresultsofsolutionsforimpulsivefractionaldifferentialequations
AT feckanmichal existenceresultsofsolutionsforimpulsivefractionaldifferentialequations
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