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      • Record: found
      • Abstract: found
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      Noninstantaneous impulsive inequalities via conformable fractional calculus

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          Abstract

          We establish some new noninstantaneous impulsive inequalities using the conformable fractional calculus.

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          Most cited references26

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          New properties of conformable derivative

          Abdon Atangana, Dumitru Baleanu, Ahmed Alsaedi (2015)
          Recently, the conformable derivative and its properties have been introduced. In this work we have investigated in more detail some new properties of this derivative and we have proved some useful related theorems. Also, some new definitions have been introduced.
          Article 0 comments Cited 107 times – based on 0 reviews     Review now
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            Existence of fractional neutral functional differential equations

            R.P Agarwal, Yunyun He, Yong A Zhou (2010)
            Article 0 comments Cited 39 times – based on 0 reviews     Review now
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              On a new class of abstract impulsive differential equations

              Eduardo Hernández, Donal O’Regan (2013)
              Article 0 comments Cited 24 times – based on 0 reviews     Review now
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                Author and article information

                Contributors
                Surang Sitho: srg@kmutnb.ac.th
                Sotiris K. Ntouyas: sntouyas@uoi.gr
                Praveen Agarwal: praveen.agarwal@anandice.ac.in
                Jessada Tariboon:
                ORCID: http://orcid.org/0000-0001-8185-3539
                jessada.t@sci.kmutnb.ac.th
                Journal
                Journal ID (nlm-ta): J Inequal Appl
                Journal ID (iso-abbrev): J Inequal Appl
                Title: Journal of Inequalities and Applications
                Publisher: Springer International Publishing (Cham )
                ISSN (Print): 1025-5834
                ISSN (Electronic): 1029-242X
                Publication date (Electronic): 25 September 2018
                Publication date PMC-release: 25 September 2018
                Publication date (Print): 2018
                Volume: 2018
                Issue: 1
                Electronic Location Identifier: 261
                Affiliations
                [1 ]ISNI 0000 0004 0617 4490, GRID grid.443738.f, Department of Social and Applied Science, College of Industrial Technology, , King Mongkut’s University of Technology North Bangkok, ; Bangkok, Thailand
                [2 ]ISNI 0000 0001 2108 7481, GRID grid.9594.1, Department of Mathematics, , University of Ioannina, ; Ioannina, Greece
                [3 ]ISNI 0000 0001 0619 1117, GRID grid.412125.1, Nonlinear Analysis and Applied Mathematics (NAAM)—Research Group, Department of Mathematics, Faculty of Science, , King Abdulaziz University, ; Jeddah, Saudi Arabia
                [4 ]ISNI 0000 0004 1800 3365, GRID grid.449434.a, Department of Mathematics, , Anand International College of Engineering, ; Jaipur, India
                [5 ]ISNI 0000 0004 0617 4490, GRID grid.443738.f, Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, , King Mongkut’s University of Technology North Bangkok, ; Bangkok, Thailand
                Author information
                http://orcid.org/0000-0001-8185-3539
                Article
                Publisher ID: 1855
                DOI: 10.1186/s13660-018-1855-z
                PMC ID: 6182428
                SO-VID: 8e9b1d8c-f51e-48ef-b500-7556aae5f97c
                Copyright © © The Author(s) 2018
                License:

                Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

                History
                Date received : 7 April 2018
                Date accepted : 17 September 2018
                Funding
                Funded by: College of Industrial Technology, King Mongkut's University of Technology North Bangkok, Thailand
                Categories
                Subject: Research
                Custom metadata
                issue-copyright-statement © The Author(s) 2018

                Keywords: 26d10,26a33,34a37,conformable fractional derivative,conformable fractional integral,impulsive inequalities
                Data availability:
                Keywords: 26d10, 26a33, 34a37, conformable fractional derivative, conformable fractional integral, impulsive inequalities

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