Application of Fractional Differential Equations in Electrical Circuits via Sumudu Transform

N.G.Patil; J. A. Nannaware; Changdev P. Jadhav; A.M. Alure

doi:10.69980/tned1273

Authors

N.G.Patil
J. A. Nannaware
Changdev P. Jadhav
A.M. Alure

DOI:

https://doi.org/10.69980/tned1273

Keywords:

Caputo fractional derivative, Caputo-Fabrizio, Atangana-Baleanu Caputo fractional derivative, Sumudu transform.

Abstract

This paper presents fractional LC, RC and RL electrical circuits as separate cases. The current and charge over time are determined using the Sumudu transform method with emf taken as different types of functions. The results are then simulated using mathematical software.

Author Biographies

N.G.Patil

Department of Mathematics, M. S. Bidve Engineering college, Latur Dist.Latur - 413 512, India
J. A. Nannaware

Dept. of Mathematics, Shrikrishna Mahavidyalaya, Gunjoti Dt. Osmanabad - 413 613, India
Changdev P. Jadhav

Department of Mathematics Deogiri Institute of Engineering and Management Studies, Dist. Chhatrapati Sambhajinagar - 431001, India
A.M. Alure

Department of Mathematics MBE’S College of Engineering, Ambajogai. Dist.Beed - 413 517, India