Browsing by Author "Moaaz, Osama"

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A variety of dynamic α-conformable Steffensen-type inequality on a time scale measure space
(2022) Baleanu, Dumitru; Moaaz, Osama; Baleanu, Dumitru; Askar, Sameh S.; 56389
The main objective of this work is to establish several new alpha-conformable of Steffensen-type inequalities on time scales. Our results will be proved by using time scales calculus technique. We get several well-known inequalities due to Steffensen, if we take α = 1. Some cases we get continuous inequalities when T = R and discrete inequalities when T = Z. © 2022 the Author(s), licensee AIMS Press.
Hyers-ulam-mittag-leffler stability of fractional differential equations with two caputo derivative using fractional fourier transform
(2022) Baleanu, Dumitru; Deepa, Swaminathan; Baleanu, Dumitru; Santra, Shyam Sundar; Moaaz, Osama; Govindan, Vediyappan; Ali, Rifaqat; 56389
In this paper, we discuss standard approaches to the Hyers-Ulam Mittag Leffler problem of fractional derivatives and nonlinear fractional integrals (simply called nonlinear fractional differential equation), namely two Caputo fractional derivatives using a fractional Fourier transform. We prove the basic properties of derivatives including the rules for their properties and the conditions for the equivalence of various definitions. Further, we give a brief basic Hyers-Ulam Mittag Leffler problem method for the solving of linear fractional differential equations using fractional Fourier transform and mention the limits of their usability. In particular, we formulate the theorem describing the structure of the Hyers-Ulam Mittag Leffler problem for linear two-term equations. In particular, we derive the two Caputo fractional derivative step response functions of those generalized systems. Finally, we consider some physical examples, in the particular fractional differential equation and the fractional Fourier transform. © 2022 the Author(s), licensee AIMS Press.
More Effective Criteria for Oscillation of Second-Order Differential Equations with Neutral Arguments
(2020) Baleanu, Dumitru; Anis, Mona; Baleanu, Dumitru; Muhib, Ali; 56389
The motivation for this paper is to create new criteria for oscillation of solutions of second-order nonlinear neutral differential equations. In more than one respect, our results improve several related ones in the literature. As proof of the effectiveness of the new criteria, we offer more than one practical example.
New Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations with Odd-Order
(2020) Baleanu, Dumitru; Baleanu, Dumitru; Muhib, Ali; 56389
Some new oscillatory and asymptotic properties of solutions of neutral differential equations with odd-order are established. Through the new results, we give sufficient conditions for the oscillation of all solutions of the studied equations, and this is an improvement of the relevant results. The efficiency of the obtained criteria is illustrated via example.