Mathematics, General Mathematics, Modeling and Simulation, Mathematical Physics
3
Scopus Publications
44
Scholar Citations
5
Scholar h-index
2
Scholar i10-index
Scopus Publications
Some problems of mesh R−L electrical circuits using fractional calculus Changdev P. Jadhav, Tanisha B. Dale, Vaijanath L. Chinchane, Asha B. Nale, Sabri T.M. Thabet, Imed Kedim, Miguel Vivas-Cortez Alexandria Engineering Journal, 2025 In this paper, we investigate the analytical method that is used to find the current in different types of R − L electrical mesh circuits containing the loop 1 and loop 2 by using the Laplace transform. The differential equations for the electrical circuits are formulated by using Kirchhoff’s voltage law. The Caputo fractional derivative is used as a differential operator. Moreover, we provide some examples of electrical circuits containing two resistors and two inductors connected in each loop using the presented results.
On solutions of fractional differential equations for the mechanical oscillations by using the Laplace transform Changdev P. Jadhav, Tanisha B. Dale, Vaijanath L. Chinchane, Asha B. Nale, Sabri T. M. Thabet, Imed Kedim, Miguel Vivas-Cortez Aims Mathematics, 2024 <p>In this article, we employ the Laplace transform (LT) method to study fractional differential equations with the problem of displacement of motion of mass for free oscillations, damped oscillations, damped forced oscillations, and forced oscillations (without damping). These problems are solved by using the Caputo and Atangana-Baleanu (AB) fractional derivatives, which are useful fractional derivative operators consist of a non-singular kernel and are efficient in solving non-local problems. The mathematical modelling for the displacement of motion of mass is presented in fractional form. Moreover, some examples are solved.</p>
RECENT SCHOLAR PUBLICATIONS
Comparative Assessment of Displacement-Based Theories for the Static Bending Analysis of Thick Isotropic Beams. D Tupe, G Gandhe, S Dhondge, R Pakhale, C Jadhav, A Wadhekar Mathematical Modelling of Engineering Problems 13 (1), 119 , 2026 2026
A study of fractional electrical engineering problems via the Shehu transform C Jadhav, VL Chinchane, AB Nale, TB Dale, STM Thabet, I Kedim Research in Mathematics 12 (1), 2583565 , 2025 2025
Some problems of mesh R− L electrical circuits using fractional calculus CP Jadhav, TB Dale, VL Chinchane, AB Nale, STM Thabet, I Kedim, ... Alexandria Engineering Journal 115, 111-118 , 2025 2025 Citations: 7
MATHEMATICAL ANALYSIS AND ELECTRONIC CONTROL OF ENERGYEFFICIENT BUILDING DESIGN GR Gandhe, AR Wadhekar, SL Dhondge, DH Tupe, RM Autee, ... Lex Localis 23 (S1), 286-294 , 2025 2025
On solutions of fractional differential equations for the mechanical oscillations by using the Laplace transform CP Jadhav, TB Dale, VL Chinchane, AB Nale, STM Thabet, I Kedim, ... AIMS Mathematics 9 (11), 32629-32645 , 2024 2024 Citations: 3
On Dirichlet problem of time-fractional advection-diffusion equation CP Jadhav, T Dale Journal of Fractional Calculus and Nonlinear Systems 4 (2), 1-13 , 2023 2023 Citations: 13
A method to solve ordinary fractional differential equations using Elzaki and Sumudu transform C Jadhav, T Dale Journal of Fractional Calculus and Nonlinear Systems 4 (1), 8-16 , 2023 2023 Citations: 6
A review on applications of fractional differential equations in engineering domain C Jadhav, T Dale, S Dhondge Mathematical Statistician and Engineering Applications 71 (4), 7147-7166 , 2022 2022 Citations: 10
Solution of fractional differential equations for LC, RC and LR circuits using sumudu transform method CP Jadhav, TB Dale, R Boadh NeuroQuantology 20 (17), 994 , 2022 2022 Citations: 5
SOLUTION OF ONE DIMENSIONAL CONFORMABLE FRACTIONAL HEAT EQUATION CP JADHAV, AA NAVLEKAR, KP GHADLE INTERNATIONAL JOURNAL OF ENGINEERING 9 (5), 693-692 , 2020 2020
MOST CITED SCHOLAR PUBLICATIONS
On Dirichlet problem of time-fractional advection-diffusion equation CP Jadhav, T Dale Journal of Fractional Calculus and Nonlinear Systems 4 (2), 1-13 , 2023 2023 Citations: 13
A review on applications of fractional differential equations in engineering domain C Jadhav, T Dale, S Dhondge Mathematical Statistician and Engineering Applications 71 (4), 7147-7166 , 2022 2022 Citations: 10
Some problems of mesh R− L electrical circuits using fractional calculus CP Jadhav, TB Dale, VL Chinchane, AB Nale, STM Thabet, I Kedim, ... Alexandria Engineering Journal 115, 111-118 , 2025 2025 Citations: 7
A method to solve ordinary fractional differential equations using Elzaki and Sumudu transform C Jadhav, T Dale Journal of Fractional Calculus and Nonlinear Systems 4 (1), 8-16 , 2023 2023 Citations: 6
Solution of fractional differential equations for LC, RC and LR circuits using sumudu transform method CP Jadhav, TB Dale, R Boadh NeuroQuantology 20 (17), 994 , 2022 2022 Citations: 5
On solutions of fractional differential equations for the mechanical oscillations by using the Laplace transform CP Jadhav, TB Dale, VL Chinchane, AB Nale, STM Thabet, I Kedim, ... AIMS Mathematics 9 (11), 32629-32645 , 2024 2024 Citations: 3
Comparative Assessment of Displacement-Based Theories for the Static Bending Analysis of Thick Isotropic Beams. D Tupe, G Gandhe, S Dhondge, R Pakhale, C Jadhav, A Wadhekar Mathematical Modelling of Engineering Problems 13 (1), 119 , 2026 2026
A study of fractional electrical engineering problems via the Shehu transform C Jadhav, VL Chinchane, AB Nale, TB Dale, STM Thabet, I Kedim Research in Mathematics 12 (1), 2583565 , 2025 2025
MATHEMATICAL ANALYSIS AND ELECTRONIC CONTROL OF ENERGYEFFICIENT BUILDING DESIGN GR Gandhe, AR Wadhekar, SL Dhondge, DH Tupe, RM Autee, ... Lex Localis 23 (S1), 286-294 , 2025 2025
SOLUTION OF ONE DIMENSIONAL CONFORMABLE FRACTIONAL HEAT EQUATION CP JADHAV, AA NAVLEKAR, KP GHADLE INTERNATIONAL JOURNAL OF ENGINEERING 9 (5), 693-692 , 2020 2020