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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2018-05-01
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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 |
_version_ |
1725866215446937600 |