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2 results on '"Baleanu, Dumitru"'

1. Some Generalizations of Novel (Δ∇) Δ –Gronwall–Pachpatte Dynamic Inequalities on Time Scales with Applications.

Author

El-Deeb, Ahmed A. and Baleanu, Dumitru

Subjects
*BOUNDARY value problems, *INITIAL value problems, *INTEGRAL inequalities, *DELAY differential equations, *GENERALIZATION
Abstract

We established several novel inequalities of Gronwall–Pachpatte type on time scales. Our results can be used as handy tools to study the qualitative and quantitative properties of the solutions of the initial boundary value problem for a partial delay dynamic equation. The Leibniz integral rule on time scales has been used in the technique of our proof. Symmetry plays an essential role in determining the correct methods to solve dynamic inequalities. [ABSTRACT FROM AUTHOR]

Published
2022
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2. Δ–Gronwall–Bellman–Pachpatte Dynamic Inequalities and Their Applications on Time Scales.

Author

El-Deeb, Ahmed A., Baleanu, Dumitru, and Awrejcewicz, Jan

Subjects
*INTEGRAL inequalities, *BOUNDARY value problems, *INITIAL value problems
Abstract

In this article, with the help of Leibniz integral rule on time scales, we prove some new dynamic inequalities of Gronwall–Bellman–Pachpatte-type on time scales. These inequalities can be used as handy tools to study the qualitative and quantitative properties of solutions of the initial boundary value problem for partial delay dynamic equation. [ABSTRACT FROM AUTHOR]

Published
2022
Full Text
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