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Browsing Fen - Edebiyat Fakültesi by Author "Gómez-Aguilar, J.F."

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Correcting dimensional mismatch in fractional models with power, exponential and proportional kernel: Application to electrical systems

Correa-Escudero, I.L.; Gómez-Aguilar, J.F.; López-López, M.G.; Alvarado-Martínez, V.M.; Baleanu, D. (2022-09)

Fractional calculus is a powerful tool for describing diffusion phenomena, anomalous behaviors, and in general, systems with highly complex dynamics. However, the application of fractional operators for modeling purposes, ...
On a more general fractional integration by parts formulae and applications

Abdeljawad, Thabet; Atangana, Abdon; Gómez-Aguilar, J.F.; Jarad, Fahd (2019-12-15)

The integration by part comes from the product rule of classical differentiation and integration. The concept was adapted in fractional differential and integration and has several applications in control theory. However, ...
On the approximate solution of fractional-order Whitham-Broer-Kaup equations

Khan, Hassan; Gómez-Aguilar, J.F.; Alderremy, A.A.; Aly, Shaban; Baleanu, Dumitru (2021-04-20)

In this paper, the Homotopy perturbation Laplace method is implemented to investigate the solution of fractional-order Whitham-Broer-Kaup equations. The derivative of fractional-order is described in Caputo's sense. To ...
Travelling waves solution for fractional-order biological population model

Khan, Hassan; Shah, Rasool; Gómez-Aguilar, J.F.; Shoaib; Baleanu, Dumitru; Kumam, Poom (2021)

In this paper, we implemented the generalized (G/G) and extended (G/G) methods to solve fractional-order biological population models. The fractional-order derivatives are represented by the Caputo operator. The solutions ...

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Browsing Fen - Edebiyat Fakültesi by Author "Gómez-Aguilar, J.F."

Browsing Fen - Edebiyat Fakültesi by Author "Gómez-Aguilar, J.F."

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