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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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