Shifted fractional order Gegenbauer wavelets method for solving electrical circuits model of fractional order

dc.contributor.author	Yadav, P
dc.contributor.author	Jahan, S
dc.contributor.author	Nisar, K
dc.date.accessioned	2024-10-15T06:45:46Z
dc.date.available	2024-10-15T06:45:46Z
dc.date.issued	2023-10
dc.description.abstract	This study introduces a novel numerical approach based on shifted fractional-order Gegenbauer wavelets. The technique aims to provide approximate solutions for a certain class of extremely significant fractional models of electrical LC , RC , RL, and RLC circuits. We use a collocated approach to generate numerical solutions for these circuits model by making use of the beneficial characteristics of shifted fractional-order Gegenbauer polynomials (SFGBP). We include a parameter that characterizes the presence of fractional structures inside the models in order to retain the dimensional properties of the physical parameters in the electrical circuits. Several particular instances of the various source terms have also been examined. The main findings include the close resemblance of current fractional-order models to classical cases, variations in current with resistance values, and error reduction through additional series terms. Numerical simulations are shown through geometrical interpretation to illustrate the exactness and reliability of our technique.	en_US
dc.identifier.uri	http://hdl.handle.net/123456789/1725
dc.title	Shifted fractional order Gegenbauer wavelets method for solving electrical circuits model of fractional order	en_US

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