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- W4210807889 abstract "Abstract 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 the Wright 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 general Wright 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 <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi>α</m:mi> <m:mo>=</m:mo> <m:mi>γ</m:mi> <m:mo>=</m:mo> <m:mi>β</m:mi> <m:mo>=</m:mo> <m:mn>1</m:mn> </m:mrow> </m:math> {alpha=gamma=beta=1} , we obtain the same results as in the standard version." @default.
- W4210807889 created "2022-02-08" @default.
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- W4210807889 date "2022-01-28" @default.
- W4210807889 modified "2023-09-28" @default.
- W4210807889 title "Solving fractal differential equations via fractal Laplace transforms" @default.
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- W4210807889 doi "https://doi.org/10.1515/jaa-2021-2076" @default.
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