In this paper, we explore the intriguing field of fractal calculus as it pertains to fractal curves and fractal sets. Our study includes an exploration of the method analogues of the separable method and the integrating factor technique for solving α-order differential equations. Notably, we extend our analysis to solve Fractal Bernoulli differential equations. The applications of our findings are then showcased through the solutions of problems such as fractal compound interest and the escape velocity of the earth in fractal space and time. Visual representations of our results are also provided to enhance understanding

Alireza Khalili Golmankhaneh, Donatella Bongiorno (2024). Exact solutions of some fractal differential equations. APPLIED MATHEMATICS AND COMPUTATION, 472, 1-12 [10.1016/j.amc.2024.128633].

Exact solutions of some fractal differential equations

Donatella Bongiorno
2024-07-01

Abstract

In this paper, we explore the intriguing field of fractal calculus as it pertains to fractal curves and fractal sets. Our study includes an exploration of the method analogues of the separable method and the integrating factor technique for solving α-order differential equations. Notably, we extend our analysis to solve Fractal Bernoulli differential equations. The applications of our findings are then showcased through the solutions of problems such as fractal compound interest and the escape velocity of the earth in fractal space and time. Visual representations of our results are also provided to enhance understanding
1-lug-2024
Settore MAT/05 - Analisi Matematica
Alireza Khalili Golmankhaneh, Donatella Bongiorno (2024). Exact solutions of some fractal differential equations. APPLIED MATHEMATICS AND COMPUTATION, 472, 1-12 [10.1016/j.amc.2024.128633].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/629338
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