Mohammed K. A. Kaabar (Mathematical Sciences) has co-authored a new research article titled “On Martínez-Kaabar fractal-fractional double Laplace transformation,” published in the Ain Shams Engineering Journal, an Elsevier journal ranked in the top 25% (Q1) of engineering journals with an Impact Factor of 5.9.
The paper presents a significant advancement of the Martínez-Kaabar fractal-fractional (MKF-F) calculus theory, an emerging mathematical framework that unifies fractional calculus and fractal geometry to model complex systems.
In this study, Kaabar and his co-author Francisco Martínez at the Technological University of Cartagena, Cartagena, Spain introduce a powerful new analytical tool — the MKF-F double Laplace transformation — which embeds fractal-fractional operators directly into the classical double Laplace transform. This innovation establishes a rigorous theoretical foundation while enabling more efficient solutions of challenging partial integro-differential equations exhibiting fractal effects.
By extending the mathematical structure of fractal-fractional calculus and developing new transformation techniques, this work strengthens the analytical toolbox available for advanced modeling in engineering, physics, and applied sciences. The publication further reinforces UNLV’s growing international presence in high-impact mathematical research.
