Existence of Local and Global Solutions To Fractional Order Fuzzy Delay Differential Equation With Non-Instantaneous Impulses
| dc.contributor.author | Malik, Muslim | |
| dc.contributor.author | Sajid, Mohammad | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Kumar, Anil | |
| dc.date.accessioned | 2022-04-21T13:48:06Z | |
| dc.date.accessioned | 2025-09-18T15:43:16Z | |
| dc.date.available | 2022-04-21T13:48:06Z | |
| dc.date.available | 2025-09-18T15:43:16Z | |
| dc.date.issued | 2022 | |
| dc.description | Sajid, Mohammad/0000-0002-9921-787X; Kumar, Anil/0000-0001-7519-803X | en_US |
| dc.description.abstract | The main concern of this manuscript is to examine some sufficient conditions under which the fractional order fuzzy delay differential system with the non-instantaneous impulsive condition has a unique solution. We also study the existence of a global solution for the considered system. Fuzzy set theory, Banach fixed point theorem and Non-linear functional analysis are the major tools to demonstrate our results. In last, an example is given to illustrate these analytical results. | en_US |
| dc.description.sponsorship | Deanship of Scientific Research, Qassim University | en_US |
| dc.description.sponsorship | The researchers would like to thank the Deanship of Scientific Research, Qassim University for funding the publication of this project. We are also thankful to the associate editor and anonymous reviewers for their constructive comments and suggestions which help us to improve the manuscript. | en_US |
| dc.identifier.citation | Kumar, Anil...at all (2022). "Existence of local and global solutions to fractional order fuzzy delay differential equation with non-instantaneous impulses", AIMS Mathematics, Vol. 7, No. 2, pp. 2348-2369. | en_US |
| dc.identifier.doi | 10.3934/math.2022133 | |
| dc.identifier.issn | 2473-6988 | |
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| dc.identifier.uri | https://doi.org/10.3934/math.2022133 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13907 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fuzzy Delay Differential Equations | en_US |
| dc.subject | Atangana-Baleanu Fractional Derivative | en_US |
| dc.subject | Fixed Point Theorem | en_US |
| dc.subject | Non-Instantaneous Impulses | en_US |
| dc.title | Existence of Local and Global Solutions To Fractional Order Fuzzy Delay Differential Equation With Non-Instantaneous Impulses | en_US |
| dc.title | Existence of local and global solutions to fractional order fuzzy delay differential equation with non-instantaneous impulses | tr_TR |
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| gdc.author.id | Kumar, Anil/0000-0001-7519-803X | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Malik, Muslim/Ago-0862-2022 | |
| gdc.author.wosid | Sajid, Mohammad/A-2346-2011 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Kumar, Anil; Malik, Muslim] Indian Inst Technol Mandi, Sch Basic Sci, Kamand, Himachal Prades, India; [Sajid, Mohammad] Qassim Univ, Coll Engn, Dept Mech Engn, Buraydah 51452, Al Qassim, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
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