Browsing by Author "Saker, Samir H."

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Citation Count: Khalil, H...et al. (2016). Approximate solution of linear and nonlinear fractional differential equations under m-point local and nonlocal boundary conditions. Advance in Difference Equations. http://dx.doi.org/ 10.1186/s13662-016-0910-7
Approximate solution of linear and nonlinear fractional differential equations under m-point local and nonlocal boundary conditions
(Springer International Publishing, 2016) Khalil, Hammad; Khan, Rahmat Ali; Baleanu, Dumitru; Saker, Samir H.
This paper investigates a computational method to find an approximation to the solution of fractional differential equations subject to local and nonlocal m-point boundary conditions. The method that we will employ is a variant of the spectral method which is based on the normalized Bernstein polynomials and its operational matrices. Operational matrices that we will developed in this paper have the ability to convert fractional differential equations together with its nonlocal boundary conditions to a system of easily solvable algebraic equations. Some test problems are presented to illustrate the efficiency, accuracy, and applicability of the proposed method.
Citation Count: Saker, Samir H...et al. (2019). "Refinement multidimensional dynamic inequalities with general kernels and measures", Journal of Inequalities and Applications, Vol. 2019, No. 1.
Refinement multidimensional dynamic inequalities with general kernels and measures
(2019) Saker, Samir H.; Rezk, Haytham M.; Abohela, Islam; Baleanu, Dumitru; 56389
Using the properties of superquadratic and subquadratic functions, we establish some new refinement multidimensional dynamic inequalities of Hardy's type on time scales. Our results contain some of the recent results related to classical multidimensional Hardy's and Polya-Knopp's inequalities on time scales. To show motivation of the paper, we apply our results to obtain some particular multidimensional cases and provide refinements of some Hardy-type inequalities known in the literature.
Citation Count: Saker, Samir H.; Krnic, Mario; Bale-Anti, Dumitru (2022). "SOME FURTHER PROPERTIES OF DISCRETE MUCKENHOUPT AND GEHRING WEIGHTS", Journal of Mathematical Inequalities, Vol. 16, No. 1, pp. 1-18.
SOME FURTHER PROPERTIES OF DISCRETE MUCKENHOUPT AND GEHRING WEIGHTS
(2022) Saker, Samir H.; Krnic, Mario; Bale-Anti, Dumitru; 56389
The main objective of this paper is a further study of discrete Muckenhoupt and Gehring weights. We first restate monotonicity properties of Muckenhoupt and Gehring classes in terms of the corresponding norms. In addition, we establish some norm bounds for Muck-enhoupt and Gehring weights. Next, we give a simple characterization of the weight belonging to both Muckenhoupt and Gehring class. Finally, we show that the transition functions, aris-ing from inclusion problems between Muckenhoupt and Gehring classes, are decreasing. As an application, some particular examples of Muckenhoupt and Gehring power weights are also considered.
Citation Count: Hamiaz, Adnane...et al. "Some new dynamic inequalities with several functions of Hardy type on time scales", Journal of Inequalities and Applications, Vol. 2021, No. 1.
Some new dynamic inequalities with several functions of Hardy type on time scales
(2021) Hamiaz, Adnane; Abuelela, Waleed; Saker, Samir H.; Baleanu, Dumitru; 56389
The aim of this article is to prove some new dynamic inequalities of Hardy type on time scales with several functions. Our results contain some results proved in the literature, which are deduced as limited cases, and also improve some obtained results by using weak conditions. In order to do so, we utilize Hölder’s inequality, the chain rule, and the formula of integration by parts on time scales.