Solving Riccati Type q−Difference Equations via Difference Transform Method

Authors

Ahmed Y. Abdulmajeed, Department of Mathematics, College of Science,University of Basrah, Basrah, IraqFollow
Ayad R. Khudair, Department of Mathematics, College of Science, University of Basrah, Basrah, IraqFollow

Document Type

Article

Abstract

In this paper, we deal on the time scale that its delta derivative of graininess function is a nonzero positive constant. Based on the Taylor formula for this time scale, we investigate the difference transform method (DTM). This method has been applied successfully to solve Riccati type difference equations in quantum calculus. To demonstrate the ability and efficacy of this method, some examples have been provided.

Keywords

quantum calculus, Riccati type difference equations, time scale, difference transform method.

Recommended Citation

Abdulmajeed, Ahmed Y. and Khudair, Ayad R. (2021) "Solving Riccati Type q−Difference Equations via Difference Transform Method," Al-Qadisiyah Journal of Pure Science: Vol. 26 : No. 4 , Article 21.
Available at: https://doi.org/10.29350/qjps.2021.26.4.1318

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.