Browsing by Author "Valdes, Juan E. Napoles"

Now showing 1 - 2 of 2

Fuzzy Stability in the Sense of Hyers-Ulam of a Functional Equation on Quadratic Forms
(Taru Publications, 2023) Farahani, Moahmmad Reza; Valdes, Juan E. Napoles; Cancan, Murat; Jafari, Saeid
We obtain a general solution of the 2-variable quadratic functional equation zeta(y(1) + y(2), y(3) + y(4)) + zeta(y(1)-y(2), y(3)-y(4)) = 2 zeta(y(1), y(3)) + 2 zeta(y(2), y(4)) and discuss the stability of the above functional equation, while the quadratic form zeta(a, b) = alpha a(2) + beta ab + gamma c(2) is a solution of our functional equation.
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.