Solving fractal differential equations via fractal Laplace transforms

• Autorzy: Ali Karmina Kamal , Golmankhaneh Alireza Khalili , Yilmazer Resat , Abdullah Milad Ashqi

Identyfikatory

DOI

10.1515/jaa-2021-2076

• Języki publikacji: EN

Abstrakty

EN

The intention of this study is to investigate the fractal version of both one-term and three-term fractal differential equations. The fractal Laplace transform of the local derivative and the non-local fractal Caputo derivative is applied to investigate the given models. The analogues of both theWright function with its related definitions in fractal calculus and the convolution theorem in fractal calculus are proposed. All results in this paper have been obtained by applying certain tools such as the generalWright and Mittag-Leffler functions of three parameters and the convolution theorem in the sense of the fractal calculus. Moreover, a comparative analysis is conducted by solving the governing equation in the senses of the standard version and fractal calculus. It is obvious that when α = γ = β = 1, we obtain the same results as in the standard version.

Słowa kluczowe

EN

fractal calculus; fractal Wright function; fractal Laplace transform; fractal convolution theorem

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2022
• Tom: Vol. 28, nr 2
• Strony: 237--250
• Opis fizyczny: Bibliogr. 63 poz., wykr.

Twórcy

autor

Ali Karmina Kamal

• Department of Mathematics, Faculty of Science, University of Zakho, 42002 Zakho, Iraq
• Department of Mathematics, Faculty of Science, Firat University, 23119 Elazig, Turkey

autor

Golmankhaneh Alireza Khalili

• Department of Physics, Urmia Branch, Islamic Azad University, 63896 Urmia, Iran

• https://orcid.org/0000-0002-5008-0163

autor

Yilmazer Resat

• Department of Mathematics, Faculty of Science, Firat University, 23119 Elazig, Turkey

autor

Abdullah Milad Ashqi

• Computer Science Department, Soran University, 44004 Soran, Iraq

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).