Magnetic study of GdxBi1-xFeO3 multiferroics synthesized by solution combustion technique

Kaur, Amarjeet; Negi, Shivani; Somnath,; Kumar, Arun; Sharma, Shubham; Kumar, Gagan

doi:10.1063/1.5083592

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2023

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“…The first and popular definition, the Riemann-Liouville definition, was proposed by Riemann and Liouville, after which Caputo proposed a second popular definition called the Caputo Fractional Derivative. There are many definitions of Fractional calculus, such as Jumarie, Wely, Eudelyikober, Hadamard, and the Riesz fractional derivative (see, for example, Srivastava and Saxena [1] and Kaur [2]).…”

Section: Introductionmentioning

confidence: 99%

Effect of fractional time derivatives to pressure-driven flow through the horizontal microchannel

KAURANGİNİ,

TAHİR,

ABUBAKAR

2023

Journal of Amasya University the Institute of Sciences and Technology

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This research applies fractional time derivatives to fluid flow through a horizontal microchannel. It uses fractional time derivatives with the Laplace transform technique and method of undetermined coefficient to analyze and obtain solutions of the governing equations in the Laplace domain. To this end, the solutions are reversed in the time domain using Riemann-sum approximation methods. In order to obtain the solutions for the pressure-driven flow, the time factional derivative in the Caputo sense is employed. Here, the influence of each governing parameter is explained with a line graph. Results show that with the decreases in fractional order $(\alpha)$, the velocity decreases within the interval $0

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Section: Introductionmentioning

confidence: 99%