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New Principles of Non-Linear Integral Inequalities on Time Scales

   | 18 gen 2021
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Cita

S. Hilger, Ein Maßkettenkalkül mit Anwendung auf Zentrmsmannigfaltingkeiten, Ph.D. Thesis, Univarsi. Würzburg, 1988. HilgerS. Ein Maßkettenkalkül mit Anwendung auf Zentrmsmannigfaltingkeiten Ph.D. Thesis, Univarsi. Würzburg 1988 Search in Google Scholar

R.P. Agarwal, M. Bohner, A. Peterson, Inequalities on time scales: A survey. Math. Inequal. Appl., 2001, 4, 535–555. https://doi.org/10.7153/mia-04-48 AgarwalR.P. BohnerM. PetersonA. Inequalities on time scales: A survey Math. Inequal. Appl. 2001 4 535 555 https://doi.org/10.7153/mia-04-48 10.7153/mia-04-48 Search in Google Scholar

E. Akin-Bohner, M. Bohner, F. Akin, Pachpatte inequalities on time scales. Journal of Inequalities in Pure and Applied Mathematics. 2005, 6(1), 1–23 Akin-BohnerE. BohnerM. AkinF. Pachpatte inequalities on time scales Journal of Inequalities in Pure and Applied Mathematics 2005 6 1 1 23 Search in Google Scholar

W.N. Li, Nonlinear Integral Inequalities in Two Independent Variables on Time Scales. Adv Differ Equ. 2011, 283926. doi:10.1155/2011/283926 LiW.N. Nonlinear Integral Inequalities in Two Independent Variables on Time Scales Adv Differ Equ. 2011 283926 10.1155/2011/283926 Open DOISearch in Google Scholar

G.A. Anastassiou, Principles of delta fractional calculus on time scales and inequalities. Mathematical and Computer Modelling. 2010, 52, 556–566. https://doi.org/10.1016/j.mcm.2010.03.055 AnastassiouG.A. Principles of delta fractional calculus on time scales and inequalities Mathematical and Computer Modelling 2010 52 556 566 https://doi.org/10.1016/j.mcm.2010.03.055 10.1016/j.mcm.2010.03.055 Search in Google Scholar

F.-H. Wong, C.-C. Yeh, S.-L. Yu, C.-H. Hong, Young's inequality and related results on time scales, Appl. Math. Lett. 2005, 18, 983–988. WongF.-H. YehC.-C. YuS.-L. HongC.-H. Young's inequality and related results on time scales Appl. Math. Lett. 2005 18 983 988 10.1016/j.aml.2004.06.028 Search in Google Scholar

F.-H. Wong, C.-C. Yeh, W.-C. Lian, An extension of Jensen's inequality on time scales, Adv. Dynam. Syst. Appl. 2006, 1 (1), 113–120 WongF.-H. YehC.-C. LianW.-C. An extension of Jensen's inequality on time scales Adv. Dynam. Syst. Appl. 2006 1 1 113 120 Search in Google Scholar

J. Kuang, Applied inequalities, Shandong Science Press, Jinan, 2003. KuangJ. Applied inequalities Shandong Science Press Jinan 2003 Search in Google Scholar

D. Uçar, V.F. Hatipoğlu, A. Akincali, Fractional Integral Inequalities On Time Scales. Open J. Math. Sci., 2018, Vol. 2, No. 1, pp. 361–370 (2018). UçarD. HatipoğluV.F. AkincaliA. Fractional Integral Inequalities On Time Scales Open J. Math. Sci. 2018 2 1 361 370 2018 10.30538/oms2018.0041 Search in Google Scholar

U.M. Özkan, M.Z. Sarikaya, H. Yildirim, Extensions of certain integral inequalities on time scales, Appl. Math. Lett., 2008, 21, 993–1000. ÖzkanU.M. SarikayaM.Z. YildirimH. Extensions of certain integral inequalities on time scales Appl. Math. Lett. 2008 21 993 1000 10.1016/j.aml.2007.06.008 Search in Google Scholar

J.-F. Tian, M.-H. Ha, Extensions of Hölder-type inequalities on time scales and their applications, J. Nonlinear Sci. Appl., 2017,10, 937–953. TianJ.-F. HaM.-H. Extensions of Hölder-type inequalities on time scales and their applications J. Nonlinear Sci. Appl. 2017 10 937 953 10.22436/jnsa.010.03.07 Search in Google Scholar

V. Kac, P. Cheung, Quantum Calculus. Universitext Springer, New York 2002. KacV. CheungP. Quantum Calculus Universitext Springer New York 2002 10.1007/978-1-4613-0071-7 Search in Google Scholar

W.-G. Yang, A functional generalization of diamond-a integral Hölder's inequality on time scales, Appl. Math. Lett., 2010, 23, 1208–1212. YangW.-G. A functional generalization of diamond-a integral Hölder's inequality on time scales Appl. Math. Lett. 2010 23 1208 1212 10.1016/j.aml.2010.05.013 Search in Google Scholar

M. Bohner, A. Peterson, Dynamic equations on time scales, An introduction with applications. Birkhauser, Boston, 2001. https://doi.org/10.1007/978-1-4612-0201-1 BohnerM. PetersonA. Dynamic equations on time scales, An introduction with applications Birkhauser Boston 2001 https://doi.org/10.1007/978-1-4612-0201-1 10.1007/978-1-4612-0201-1 Search in Google Scholar

Q. Sheng, M. Fadag, J. Henderson, J.M. Davis, An exploration of combined dynamic derivatives on time scales and their applications, Nonlinear Anal. Real World Appl., 2006, 7, 395–413. ShengQ. FadagM. HendersonJ. DavisJ.M. An exploration of combined dynamic derivatives on time scales and their applications Nonlinear Anal. Real World Appl. 2006 7 395 413 10.1016/j.nonrwa.2005.03.008 Search in Google Scholar

F. Qi, Several integral inequalities. RGMIA Res. Rep. Coll. 1999, 2(7), Art. 9, 1039–1042. http://rgmia.org/v2n7.php QiF. Several integral inequalities RGMIA Res. Rep. Coll. 1999 2 7 Art. 9, 1039 1042 http://rgmia.org/v2n7.php Search in Google Scholar

F. Qi, Several integral inequalities. J. Inequal. Pure Appl. Math. 2000, 1(2), Art. 19. http://www.emis.de/journals/JIPAM/article113.html QiF. Several integral inequalities J. Inequal. Pure Appl. Math. 2000 1 2 Art. 19. http://www.emis.de/journals/JIPAM/article113.html Search in Google Scholar

S. Hilger, Analysis on measure chains-a unified approach to continuous and discrete calculus. Results Math. 1990 18, 18–56. HilgerS. Analysis on measure chains-a unified approach to continuous and discrete calculus Results Math. 1990 18 18 56 10.1007/BF03323153 Search in Google Scholar

R.P. Agarwal, D. O’Regan, S.H. Saker, Dynamic Inequalities on Time Scales, Springer, Heidelberg/New York/Drodrechet/London 2014. AgarwalR.P. O’ReganD. SakerS.H. Dynamic Inequalities on Time Scales Springer Heidelberg/New York/Drodrechet/London 2014 10.1007/978-3-319-11002-8 Search in Google Scholar

W.N. Li, Nonlinear Integral Inequalities in Two Independent Variables on Time Scales. Adv Differ Equ. 2011, 283926. doi:10.1155/2011/283926 LiW.N. Nonlinear Integral Inequalities in Two Independent Variables on Time Scales Adv Differ Equ. 2011 283926 10.1155/2011/283926 Open DOISearch in Google Scholar

M. Bohner, R.P. Agarwal, Basic calculus on time scales and some of its applications. Resultate der Mathematik, 1999, 35, 3–22. https://doi.org/10.1007/BF03322019 BohnerM. AgarwalR.P. Basic calculus on time scales and some of its applications Resultate der Mathematik 1999 35 3 22 https://doi.org/10.1007/BF03322019 10.1007/BF03322019 Search in Google Scholar

M. Bohner, G.S. Guseinov, Multiple Lebesgue integration on time scales. Adv. Differ. Equ.2006, 026391. doi:10.1155/ADE/2006/26391. BohnerM. GuseinovG.S. Multiple Lebesgue integration on time scales Adv. Differ. Equ. 2006 026391 10.1155/ADE/2006/26391 Open DOISearch in Google Scholar

G. Chen, C. Wei, A functional generalization of diamond-a integral Dresher's inequality on time scales. Adv.Differ. Equ. 2014, 324. doi: 10.1186/1687-1847-2014-324. ChenG. WeiC. A functional generalization of diamond-a integral Dresher's inequality on time scales Adv.Differ. Equ. 2014 324 10.1186/1687-1847-2014-324 Open DOISearch in Google Scholar

L. Yin, F. Qi, Some Integral Inequalities on Time Scales, Results. Math. 2013, 64,371–381. DOI 10.1007/s00025-013-0320-z.. YinL. QiF. Some Integral Inequalities on Time Scales Results. Math. 2013 64 371 381 10.1007/s00025-013-0320-z Open DOISearch in Google Scholar

F. Qi, A.-J. Li, W.-Z. Zhao, D.-W. Niu, J. -Cao, Extensions of several integral inequalities. J. Inequal. Pure Appl. Math.2006 7(3), Art. 107. http://www.emis.de/journals/JIPAM/article706.html QiF. LiA.-J. ZhaoW.-Z. NiuD.-W. CaoJ. Extensions of several integral inequalities J. Inequal. Pure Appl. Math. 2006 7 3 Art. 107. http://www.emis.de/journals/JIPAM/article706.html Search in Google Scholar

V. Spedding, Taming nature's numbers, New Scientist, July 19 (2003), 28–31 SpeddingV. Taming nature's numbers New Scientist July 19 2003 28 31 Search in Google Scholar

C. C. Tisdell, A. Zaidi, Basic qualitative and quantitative results for solutions to nonlinear dynamic equations on time scales with an application to economic modelling. Nonlinear Anal.68, 3504–3524 (2008) TisdellC. C. ZaidiA. Basic qualitative and quantitative results for solutions to nonlinear dynamic equations on time scales with an application to economic modelling Nonlinear Anal. 68 3504 3524 2008 10.1016/j.na.2007.03.043 Search in Google Scholar

M. Bohner, J. Heim, A. Liu, Qualitative analysis of Solow model on time scales. J. Concrete Appl. Math. 13, 183–197 (2015) BohnerM. HeimJ. LiuA. Qualitative analysis of Solow model on time scales J. Concrete Appl. Math. 13 183 197 2015 Search in Google Scholar

D. Brigo, F. Mercurio, Discrete time vs continuous time stock-price dynamics and implications for option pricing. Finance Stochast. 4, 147–159 (2000) BrigoD. MercurioF. Discrete time vs continuous time stock-price dynamics and implications for option pricing Finance Stochast. 4 147 159 2000 10.2139/ssrn.292059 Search in Google Scholar

A. R. Seadawy, M. Iqbal and D. Lu, Nonlinear wave solutions of the Kudryashov–Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity, Journal of Taibah University for Science, 2019, 13:1, 1060–1072, DOI: 10.1080/16583655.2019.1680170. SeadawyA. R. IqbalM. LuD. Nonlinear wave solutions of the Kudryashov–Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity Journal of Taibah University for Science 2019 13 1 1060 1072 10.1080/16583655.2019.1680170 Open DOISearch in Google Scholar

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