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A Fractional LC − RC Circuit

Ayoub, N.Alzoubi, F.Khateeb, H.Al-Qadi, M.Hasan (Qaseer), M.Albiss, B.Rousan, A. — 2006

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 26A33, 30B10, 33B15, 44A10, 47N70, 94C05 We suggest a fractional differential equation that combines the simple harmonic oscillations of an LC circuit with the discharging of an RC circuit. A series solution is obtained for the suggested fractional differential equation. When the fractional order α = 0, we get the solution for the RC circuit, and when α = 1, we get the solution for the LC circuit. For arbitrary α we get a general solution which shows...

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