Browsing by Author "Akdemir, Ahmet Ocak"

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Citation Count: Mumcu, İlker...et al. (2021). "New extensions of Hermite–Hadamard inequalities via generalized proportional fractional integral", Numerical Methods for Partial Differential Equations.
New extensions of Hermite–Hadamard inequalities via generalized proportional fractional integral
(2021) Mumcu, İlker; Set, Erhan; Akdemir, Ahmet Ocak; Jarad, Fahd; 234808
The main aim this work is to give Hermite–Hadamard inequalities for convex functions via generalized proportional fractional integrals. We also obtained extensions of Hermite–Hadamard type inequalities for generalized proportional fractional integrals. © 2021 Wiley Periodicals LLC
Citation Count: Butt, Saad Ihsan...et all. (2021). "NON-CONFORMABLE INTEGRAL INEQUALITIES OF CHEBYSHEV-POLYA-SZEGO TYPE", JOURNAL OF MATHEMATICAL INEQUALITIES, Vol. 15, No. 4, pp. 1391-1400.
NON-CONFORMABLE INTEGRAL INEQUALITIES OF CHEBYSHEV-POLYA-SZEGO TYPE
(2021) Butt, Saad Ihsan; Akdemir, Ahmet Ocak; Agarwal, Praveen; Baleanu, Dumitru; 56389
Inequality studies involving new integrals and derivatives have been carried out recently. This article designed as follows, the results were obtained by using the non-conformable fractional integral operators to provide new inequalities of Polya-Szego and Chebyshev type. Some special cases have been considered for our main findings.
Citation Count: Kavurmacı Önalan, Havva...et al. (2021). "On new general versions of Hermite–Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel", Journal of Inequalities and Applications, Vol. 2021, No. 1.
On new general versions of Hermite–Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel
(2021) Kavurmacı Önalan, Havva; Akdemir, Ahmet Ocak; Avcı Ardıç, Merve; Baleanu, Dumitru; 56389
The main motivation of this study is to bring together the field of inequalities with fractional integral operators, which are the focus of attention among fractional integral operators with their features and frequency of use. For this purpose, after introducing some basic concepts, a new variant of Hermite–Hadamard (HH-) inequality is obtained for s-convex functions in the second sense. Then, an integral equation, which is important for the main findings, is proved. With the help of this integral equation that includes fractional integral operators with Mittag-Leffler kernel, many HH-type integral inequalities are derived for the functions whose absolute values of the second derivatives are s-convex and s-concave. Some classical inequalities and hypothesis conditions, such as Hölder’s inequality and Young’s inequality, are taken into account in the proof of the findings. © 2021, The Author(s).
Citation Count: Nie, Dongming...et al. (2019). "On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications", Mathematics, Vol. 7, No. 8.
On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications
(MDPI, 2019) Nie, Dongming; Rashid, Saima; Akdemir, Ahmet Ocak; Liu, Jia-Bao; Baleanu, Dumitru; 56389
In this article, we aim to establish several inequalities for differentiable exponentially convex and exponentially quasi-convex mapping, which are connected with the famous Hermite-Hadamard (HH) integral inequality. Moreover, we have provided applications of our findings to error estimations in numerical analysis and higher moments of random variables.
Citation Count: Chu, Yu-Ming;...et.al. (2023). "Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model", Results in Physics, Vol.49.
Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model
(2023) Chu, Yu-Ming; Rashid, Saima; Akdemir, Ahmet Ocak; Khalid, Aasma; Baleanu, Dumitru; Al-Sinan, Bushra R.; Elzibar, O. A. I.; 56389
The SARSCoV-2 virus, also known as the coronavirus-2, is the consequence of COVID-19, a severe acute respiratory syndrome. Droplets from an infectious individual are how the pathogen is transmitted from one individual to another and occasionally, these particles can contain toxic textures that could also serve as an entry point for the pathogen. We formed a discrete fractional-order COVID-19 framework for this investigation using information and inferences from Thailand. To combat the illnesses, the region has implemented mandatory vaccination, interpersonal stratification and mask distribution programs. As a result, we divided the vulnerable people into two groups: those who support the initiatives and those who do not take the influence regulations seriously. We analyze endemic problems and common data while demonstrating the threshold evolution defined by the fundamental reproductive quantity R0. Employing the mean general interval, we have evaluated the configuration value systems in our framework. Such a framework has been shown to be adaptable to changing pathogen populations over time. The Picard Lindelof technique is applied to determine the existence-uniqueness of the solution for the proposed scheme. In light of the relationship between the R0 and the consistency of the fixed points in this framework, several theoretical conclusions are made. Numerous numerical simulations are conducted to validate the outcome.
Citation Count: Rashid, Saima...et al. (2019). "Simpson's type integral inequalities for kappa-fractional integrals and their applications", Amer Inst Mathematical Sciences-AIMS, Vol. 4, No. 4, pp. 1087-1100.
Simpson's type integral inequalities for kappa-fractional integrals and their applications
(Amer Inst Mathematical Sciences-AIMS, 2019) Rashid, Saima; Akdemir, Ahmet Ocak; Jarad, Fahd; Noor, Muhammad Aslam; Noor, Khalida Inayat; 234808
In this paper, some new inequalities of Simpson's type are set up for the classes of functions whose derivatives of absolute are preinvex by means of kappa-fractional integrals. Additionally, by extraordinary choices of n and kappa, we give some diminished outcomes. Meanwhile, we also provide the inequalities for F-divergence measures and in probabilistic versions.
Citation Count: Butt, Saad Ihsan...et al. (2020). "SOME HERMITE-JENSEN-MERCER LIKE INEQUALITIES FOR CONVEX FUNCTIONS THROUGH A CERTAIN GENERALIZED FRACTIONAL INTEGRALS AND RELATED RESULTS", MISKOLC MATHEMATICAL NOTES, Vol. 21, No. 2, pp. 689-715.
SOME HERMITE-JENSEN-MERCER LIKE INEQUALITIES FOR CONVEX FUNCTIONS THROUGH A CERTAIN GENERALIZED FRACTIONAL INTEGRALS AND RELATED RESULTS
(2020) Butt, Saad Ihsan; Akdemir, Ahmet Ocak; Nasir, Jamshed; Jarad, Fahd; 234808
In this article, in light of Jensen-Mercer inequality for functions whose derivatives in the absolute values are convex, some new Hermite-Jensen-Mercer inequalities have been obtained with the help of generalized types of fractional integral operators generated recently by specified local derivatives.