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Citation - WoS: 14
Citation - Scopus: 19
On the Discrete Sumudu Transform
(Editura Acad Romane, 2012) Jarad, Fahd; Jarad, Fahd; Abdeljawad, Thabet; Bayram, Kamm; Abdeljawad, Thabet; Baleanu, Dumitru; Baleanu, Dumitru; Köse, Hasan; Ameen, Raad; Matematik
In this paper, we define the Sumudu transform on an arbitrary time scale. Starting from this definition we define the discrete Sumudu transform. We prove the initial and final value problems and study the basic properties of this transform. We also present the discrete Sumudu transform of some basic functions.
Citation - WoS: 4
Citation - Scopus: 5
Derivation of Dynamical Integral Inequalities Based on Two-Dimensional Time Scales Theory
(Springer, 2020) Khan, Hasib; Khan, Zareen A.; Jarad, Fahd; Khan, Aziz
The main goal of this paper is to set up some new estimates of a specific class of dynamic integral inequalities (DII) which are partially linear on a time scale T with two independent variables. These, from the one hand, sum up and, on the other hand, offer a helpful method for both the qualitative and quantitative study of dynamic equations on time scales. Some applications are taken into consideration to show the validity of the fundamental results.

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