New Principles of Non-Linear Integral Inequalities on Time Scales

Akın, Lütfi

doi:10.2478/amns.2021.1.00001

Cited by 8 publications

(4 citation statements)

References 21 publications

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“…Future Research Directions: In the future, the designed stochastic procedure can be executed to solve the higher order systems [47][48][49][50][51][52][53] and biological population systems [54,55].…”

Section: Resultsmentioning

confidence: 99%

Swarming Computational Techniques for the Influenza Disease System

Noinang¹,

Sabir²,

Altamirano³

et al. 2022

Computers, Materials &Amp; Continua

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The current study relates to designing a swarming computational paradigm to solve the influenza disease system (IDS). The nonlinear system's mathematical form depends upon four classes: susceptible individuals, infected people, recovered individuals and cross-immune people. The solutions of the IDS are provided by using the artificial neural networks (ANNs) together with the swarming computational paradigm-based particle swarm optimization (PSO) and interior-point scheme (IPA) that are the global and local search approaches. The ANNs-PSO-IPA has never been applied to solve the IDS. Instead a merit function in the sense of mean square error is constructed using the differential form of each class of the IDS and then optimized by the PSOIPA. The correctness and accuracy of the scheme are observed to perform the comparative analysis of the obtained IDS results with the Adams solutions (reference solutions). An absolute error in suitable measures shows the precision of the proposed ANNs procedures and the optimization efficiency of the PSOIPA. Furthermore, the reliability and competence of the proposed computing method are enhanced through the statistical performances.

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Section: Resultsmentioning

confidence: 99%

Swarming Computational Techniques for the Influenza Disease System

Noinang¹,

Sabir²,

Altamirano³

et al. 2022

Computers, Materials &Amp; Continua

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“…Author details 1 Department of Mathematics, Khon Kaen University, 40002 Khon Kaen, Thailand. 2 Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, 10800 Bangkok, Thailand.…”

Section: Fundingmentioning

confidence: 99%

“…Mathematical inequalities have been applied in the fields of both pure and applied mathematics [1][2][3][4][5][6]. Such inequalities have been continuously improved because they can be widely applied in those areas.…”

Section: Introductionmentioning

confidence: 99%

On generalizations of some integral inequalities for preinvex functions via $(p,q)$-calculus

et al. 2022

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In this paper, we establish some new $(p,q)$ ( p , q ) -integral inequalities of Simpson’s second type for preinvex functions. Many results given in this paper provide generalizations and extensions of the results given in previous research. Moreover, some examples are given to illustrate the investigated results.

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“…Mathematical inequalities, as critical tools, are employed in both areas of pure and applied mathematics [1][2][3][4][5][6][7][8]. These inequalities have been continuously improved because of their wide applications in those fields.…”

Section: Introductionmentioning

confidence: 99%