Browsing by Author "Tejado, Ines"

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Fractal Telegraph Equation
(Springer int Publ Ag, 2024) Golmankhaneh, Alireza Khalili; Cattani, Carlo; O'Regan, Donal; Tejado, Ines; Vidovic, Zoran
In this paper, we provide a brief review of fractal calculus. We introduce the fractal telegraph equation, which generalizes both the fractal heat and wave equations, and derive its solution. The solutions are plotted to highlight the differences between fractal differential equations and standard differential equations, demonstrating the effects of fractal time and space on the solutions.
On Initial Value Problems of Fractal Delay Equations
(Elsevier Science inc, 2023) Golmankhaneh, Alireza Khalili; Tejado, Ines; Sevli, Hamdullah; Valdes, Juan E. Napoles
In this paper, we give a brief summary of fractal calculus. Fractal functional differential equations are formulated as a framework that provides a mathematical model for the phe-nomena with fractal time and fractal structure. Fractal retarded, neutral, and renewal delay differential equations with constant coefficients are solved by the method of steps and us-ing Laplace transform. The graphs of solutions are given to show the details.(c) 2023 Elsevier Inc. All rights reserved.