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Browsing by Author "Khedher, Khaled Mohamed"

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    General solution and generalized Hyers-Ulam stability for additive functional equations
    (2023) Baleanu, Dumitru; Arulselvam, Manimaran; Baleanu, Dumitru; Govindan, Vediyappan; Khedher, Khaled Mohamed; 56389; Matematik
    In this paper, we introduce new types of additive functional equations and obtain the solutions to these additive functional equations. Furthermore, we investigate the Hyers-Ulam stability for the additive functional equations in fuzzy normed spaces and random normed spaces using the direct and fixed point approaches. Also, we will present some applications of functional equations in physics. Through these examples, we explain how the functional equations appear in the physical problem, how we use them to solve it, and we talk about solutions that are not used for solving the problem, but which can be of interest. We provide an example to show how functional equations may be used to solve geometry difficulties.
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    Sawi transform and Hyers-Ulam stability of nth order linear differential equations
    (2023) Baleanu, Dumitru; Ganesh, Anumanthappa; Santra, Shyam Sundar; Edwan, Reem; Baleanu, Dumitru; Khedher, Khaled Mohamed; 56389; Matematik
    The use of the Sawi transform has increased in the light of recent events in different approaches. The Sawi transform is also seen as the easiest and most effective way among the other transforms. In line with this, the research deals with the Hyers-Ulam stability of nth order differential equations using the Sawi transform. The study aims at deriving a generalised Hyers-Ulam stability result for linear homogeneous and non-homogeneous differential equations.