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71 results on '"AlNemer Ghada"'

53. Existence of Sobolev-Type Hilfer Fractional Neutral Stochastic Evolution Hemivariational Inequalities and Optimal Controls.

Author

Sivasankar, Sivajiganesan, Udhayakumar, Ramalingam, Muthukumaran, Venkatesan, Madhrubootham, Saradha, AlNemer, Ghada, and Elshenhab, Ahmed M.

Subjects
GENETIC drift, EVOLUTION equations
Abstract

This article concentrates on a control system with a nonlocal condition that is driven by neutral stochastic evolution hemivariational inequalities (HVIs) of Sobolev-type Hilfer fractional (HF). In order to illustrate the necessary requirements for the existence of mild solutions to the required control system, we first use the characteristics of the modified Clarke sub-differential and a fixed point approach for multivalued functions. Then, we show that there are optimal state-control sets that are driven by Sobolev-type HF neutral stochastic evolution HVIs utilizing constrained Lagrange optimal systems. The optimal control (OC) results are created without taking the uniqueness of the control system solutions into account. Finally, the main finding is shown by an example. [ABSTRACT FROM AUTHOR]

Published
2023
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55. New Conditions for Testing the Asymptotic and Oscillatory Behavior of Solutions of Neutral Differential Equations of the Fourth Order.

Author

Nabih, Amany, Moaaz, Osama, AlNemer, Ghada, and Elabbasy, Elmetwally M.

Subjects
DIFFERENTIAL equations, FUNCTIONAL differential equations
Abstract

In this work, in the noncanonical case, we find new properties for a class of positive solutions of fourth-order differential equations. These properties allow us to obtain iterative criteria that exclude positive decreasing solutions, and we then establish sufficient conditions to guarantee that all solutions to the examined equation oscillate. The importance of applying the results to a special case of the investigated equation is demonstrated. [ABSTRACT FROM AUTHOR]

Published
2023
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56. Optimal Control Problems for Hilfer Fractional Neutral Stochastic Evolution Hemivariational Inequalities.

Author

Sivasankar, Sivajiganesan, Udhayakumar, Ramalingam, Subramanian, Velmurugan, AlNemer, Ghada, and Elshenhab, Ahmed M.

Subjects
GENETIC drift, SET-valued maps, SYMMETRIC spaces, EVOLUTION equations
Abstract

In this paper, we concentrate on a control system with a non-local condition that is governed by a Hilfer fractional neutral stochastic evolution hemivariational inequality (HFNSEHVI). By using concepts of the generalized Clarke sub-differential and a fixed point theorem for multivalued maps, we first demonstrate adequate requirements for the existence of mild solutions to the concerned control system. Then, using limited Lagrange optimal systems, we demonstrate the existence of optimal state-control pairs that are regulated by an HFNSEHVI with a non-local condition. In order to demonstrate the existence of fixed points, the symmetric structure of the spaces and operators that we create is essential. Without considering the uniqueness of the control system's solutions, the best control results are established. Lastly, an illustration is used to demonstrate the major result. [ABSTRACT FROM AUTHOR]

Published
2023
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69. On Hardy–Knopp Type Inequalities with Kernels via Time Scale Calculus

Author

M. Rezk, H., I. Saied, A., AlNemer, Ghada, and Zakarya, M.

Abstract

In this paper, we study the inequalities of Hardy–Knopp type with kernel functions which have two nonnegative different weighted functions in two different spaces, in a general domain called a time scale calculus. A time scale calculus T is considered as a unification of the continuous calculus and the discrete calculus. We will prove these inequalities in a time scale calculus to avoid proving them twice once in the continuous case and the second in the discrete case. Also, as special cases of the time scale calculus, we can prove some new inequalities in new different domains. Our results will be proved by using the definition of a general Hardy operator on time scale. These inequalities (when T=ℕ) are essentially new.

Published
2022
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70. Inequalities of Hardy Type via Superquadratic Functions with General Kernels and Measures for Several Variables on Time Scales

Author

M. Rezk, H., A. Abd El-Hamid, H., M. Ahmed, A., AlNemer, Ghada, and Zakarya, M.

Abstract

We use the properties of superquadratic functions to produce various improvements and popularizations on time scales of the Hardy form inequalities and their converses. Also, we include various examples and interpretations of the disparities in the literature that exist. In particular, our findings can be seen as refinements of some recent results closely linked to the time-scale inequalities of the classical Hardy, Pólya-Knopp, and Hardy-Hilbert. Some continuous inequalities are derived from the main results as special cases. The essential results will be proved by making use of some algebraic inequalities such as the Minkowski inequality, the refined Jensen inequality, and the Bernoulli inequality on time scales.

Published
2020
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71. Dynamic Inequalities in Quotients with General Kernels and Measures

Author

A. Abd El-Hamid, H., M. Rezk, H., M. Ahmed, A., AlNemer, Ghada, Zakarya, M., and A. El Saify, H.

Abstract

By utilizing the precepts related to the punctuation of time scales T, we present some nouveau forms in quotients for Hardy’s and related inequalities on time scales. In particular, some recent results for the Pólya-Knopp, Hardy-Hilbert, and Hardy-Littlewood-Pólya-type inequalities are presented.

Published
2020
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