A study on the solutions of notable engineering models
In the commenced work, we establish some novel results concerning graph contractions in a more generalized setting. Furthermore, we deliver some examples to elaborate and explain the usability of the attained results. By virtue of nontrivial examples, we show our results improve, extend, generalize,...
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Published in | Mathematical modelling and analysis Vol. 27; no. 3; pp. 492 - 509 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Vilnius
Vilnius Gediminas Technical University
01.08.2022
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Subjects | |
Online Access | Get full text |
ISSN | 1392-6292 1648-3510 |
DOI | 10.3846/mma.2022.15276 |
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Abstract | In the commenced work, we establish some novel results concerning graph contractions in a more generalized setting. Furthermore, we deliver some examples to elaborate and explain the usability of the attained results. By virtue of nontrivial examples, we show our results improve, extend, generalize, and unify several noteworthy results in the existing state-of-art. We adopt computer simulation validating our results. To arouse further interest in the subject and to show its efficacy, we devote this work to recent applications which emphasize primarily the applications for the existence of the solution of various models related to engineering problems viz. fourth-order two-point boundary value problems describing deformations of an elastic beam, ascending motion of a rocket, and a class of integral equations. This approach is entirely new and will open up some new directions in the underlying graph structure. |
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AbstractList | In the commenced work, we establish some novel results concerning graph contractions in a more generalized setting. Furthermore, we deliver some examples to elaborate and explain the usability of the attained results. By virtue of nontrivial examples, we show our results improve, extend, generalize, and unify several noteworthy results in the existing state-of-art. We adopt computer simulation validating our results. To arouse further interest in the subject and to show its efficacy, we devote this work to recent applications which emphasize primarily the applications for the existence of the solution of various models related to engineering problems viz. fourth-order two-point boundary value problems describing deformations of an elastic beam, ascending motion of a rocket, and a class of integral equations. This approach is entirely new and will open up some new directions in the underlying graph structure. In the commenced work, we establish some novel results concerning graph contractions in a more generalized setting. Furthermore, we deliver some examples to elaborate and explain the usability of the attained results. By virtue of nontrivial examples, we show our results improve, extend, generalize, and unify several noteworthy results in the existing state-of-art. We adopt computer simulation validating our results. To arouse further interest in the subject and to show its efficacy, we devote this work to recent applications which emphasize primarily the applications for the existence of the solution of various models related to engineering problems viz. fourth-order two-point boundary value problems describing deformations of an elastic beam, ascending motion of a rocket, and a class of integral equations. This approach is entirely new and will open up some new directions in the underlying graph structure. Keywords: deformations of elastic beam, ascending motion of rocket, graphic contraction, fixed point. AMS Subject Classification: 47H10; 34B15; 83C10. |
Audience | Academic |
Author | Younis, Mudasir Singh, Deepak Chen, Lili Metwali, Mohamed |
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Cites_doi | 10.1186/1687-1812-2014-240 10.3390/math8040488 10.1080/00036818808839715 10.1515/ijnsns-2020-0126 10.15388/NA.2016.1.7 10.1090/S0002-9939-07-09110-1 10.1016/j.amc.2015.09.089 10.1002/mma.7922 10.1007/s41478-018-0135-0 10.1016/j.amc.2019.03.057 10.2478/v10309-012-0003-x 10.1142/S1793557122500723 10.1007/s11784-019-0673-3 10.1007/s11784-017-0402-8 10.1007/s11083-005-9018-5 10.1090/S0002-9939-03-07220-4 10.4153/CMB-1971-024-9 10.1016/j.cam.2020.112805 10.15672/HJMS.2016.395 10.1007/s12190-021-01558-1 10.1016/S0022-247X(86)80006-3 10.1137/S0895479899345571 10.1017/CBO9780511761683 |
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References_xml | – volume-title: Fixed Point Theory: contraction mapping principle year: 2003 ident: key-10.3846/mma.2022.15276-8 – ident: key-10.3846/mma.2022.15276-4 doi: 10.1186/1687-1812-2014-240 – ident: key-10.3846/mma.2022.15276-6 doi: 10.3390/math8040488 – volume-title: An introduction to metric spaces and fixed point theory year: 2011 ident: key-10.3846/mma.2022.15276-15 – ident: key-10.3846/mma.2022.15276-11 doi: 10.1080/00036818808839715 – ident: key-10.3846/mma.2022.15276-24 doi: 10.1515/ijnsns-2020-0126 – ident: key-10.3846/mma.2022.15276-2 doi: 10.15388/NA.2016.1.7 – ident: key-10.3846/mma.2022.15276-12 doi: 10.1090/S0002-9939-07-09110-1 – ident: key-10.3846/mma.2022.15276-17 doi: 10.1016/j.amc.2015.09.089 – ident: key-10.3846/mma.2022.15276-23 doi: 10.1002/mma.7922 – ident: key-10.3846/mma.2022.15276-13 doi: 10.1007/s41478-018-0135-0 – ident: key-10.3846/mma.2022.15276-18 doi: 10.1016/j.amc.2019.03.057 – ident: key-10.3846/mma.2022.15276-7 doi: 10.2478/v10309-012-0003-x – volume: 60 start-page: 71 year: 1968 ident: key-10.3846/mma.2022.15276-14 article-title: Some results on fixed points publication-title: Bull. Cal. Math. Soc. – ident: key-10.3846/mma.2022.15276-26 doi: 10.1142/S1793557122500723 – ident: key-10.3846/mma.2022.15276-25 doi: 10.1007/s11784-019-0673-3 – ident: key-10.3846/mma.2022.15276-10 doi: 10.1007/s11784-017-0402-8 – ident: key-10.3846/mma.2022.15276-16 doi: 10.1007/s11083-005-9018-5 – ident: key-10.3846/mma.2022.15276-19 doi: 10.1090/S0002-9939-03-07220-4 – ident: key-10.3846/mma.2022.15276-20 doi: 10.4153/CMB-1971-024-9 – ident: key-10.3846/mma.2022.15276-5 doi: 10.1016/j.cam.2020.112805 – ident: key-10.3846/mma.2022.15276-3 doi: 10.15672/HJMS.2016.395 – ident: key-10.3846/mma.2022.15276-22 doi: 10.1007/s12190-021-01558-1 – ident: key-10.3846/mma.2022.15276-1 doi: 10.1016/S0022-247X(86)80006-3 – ident: key-10.3846/mma.2022.15276-9 doi: 10.1137/S0895479899345571 – volume-title: Differential equations for engineers year: 2010 ident: key-10.3846/mma.2022.15276-21 doi: 10.1017/CBO9780511761683 |
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SubjectTerms | ascending motion of rocket Boundary value problems Deformations (Mechanics) deformations of elastic beam Elastic beams Elastic deformation Engineering Engineering models Engineering research fixed point graphic contraction Integral equations Mathematical models Mathematics Science |
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Title | A study on the solutions of notable engineering models |
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