On initial value problems of fractal delay equations

Alireza Khalili Golmankhaneh, Inés Tejado, Hamdullah Sevli and Juan E. Nápoles Valdés

Applied Mathematics and Computation, 2023, vol. 449, issue C

Abstract: 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 phenomena 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 using Laplace transform. The graphs of solutions are given to show the details.

Keywords: Fractal calculus; Fractal delay differential equations; Neutral delay differential equations; Fractal retarded delay differential equations (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:449:y:2023:i:c:s0096300323001492

DOI: 10.1016/j.amc.2023.127980

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