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121
On the Possibility of the Jerk Derivative in Electrical Circuits
Published 2016-01-01“…In this paper we show that the jerk dynamics are naturally obtained for electrical circuits using the fractional calculus approach with order γ. We consider fractional LC and RL electrical circuits with 1⩽γ<2 for different source terms. …”
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122
The g-generalized Mittag-Leffler (p,s,k)-function
Published 2025-02-01“…This paper introduces the generalization of ML function, hereafter referred to as the g-generalized ML (p,s,k)-function, which extends the applicability of fractional calculus and complex analysis to a broader range of problems. …”
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123
Real Time Fractional Robust Adaptive Scheme for Frequency Regulation in Double Area Hybrid Power System With Renewables
Published 2025-01-01“…The first one is a novel fractional order model reference adaptive controller where fractional calculus merits and e-modification robust algorithm have been merged with the adaptive skills creating the fractional order model reference robust-adaptive controller. …”
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124
Qualitative financial modelling in fractal dimensions
Published 2025-01-01“…The relationship between fractional calculus and fractals is well-known in the literature. …”
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125
Beyond Chaos in Fractional-Order Systems: Keen Insight in the Dynamic Effects
Published 2024-12-01“…Fractional calculus (or arbitrary order calculus) refers to the integration and derivative operators of an order different than one and was developed in 1695. …”
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