LINEAR FRACTO-INTEGRO DIFFERENTIAL EQUATION IN ELECTRICAL RLC CIRCUIT
By
Ashish Sharma1 , Rajshree Mishra2 and Manoj Sharma3
1,2Department of Mathematics, SMS Government Model Science College Gwalior, Madhya Pradesh, India 474002
3Department of Mathematics, RJIT BSF, Tekanpur, Madhya Pradesh, India-475005
Email: as2552912@gmail.com1, rajshreemishraa@gmail.com2 , manoj240674@yahoo.co.in3
Received: January 11, 2023; In format: January 18, 2023, Revised May 11, 2025, Accepted May 15, 2025
DOI: https://doi.org/10.58250/jnanabha.2025.55116
Abstract
The main purpose of this paper is to obtain the solution of fractional order linear dierential equation in RLC Circuit by using a Mittag-Leffler-kummer function. The solution of the fractional linear differential equation of the RLC circuit comes in the form of the Mittag-Leffler function
2020 Mathematical Sciences Classification: 26A33, 44A20, 26A33, 44A10.
Keywords and Phrases: Fracto-Integro Differential Equation, Mittag- Leffler-Kummer function, Riemann-Liouville operator, Laplace transform.