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math.DS2026
On solution of Diffusion Equation using Conformable Laplace Transform
Somnath Sarate, Anil Khairnar, Krishnat Masalkar
The inversion theorem and convolution theorem of the conformable fractional Laplace transforms are developed. All the elementary properties of the classical Laplace transform are e…
math.DS2024
Limit cycles of piecewise smooth differential systems with nilpotent center and linear saddle
Nanasaheb Phatangare, Krishnat Masalkar, Subhash Kendre
In this paper, we study the number of limit cycles of a piecewise smooth differential system separated by one or two parallel straight lines or rays formed by a nilpotent center or…
math.DS2024
Limit cycles of piecewise smooth differential systems of the type nonlinear center and saddle
Nanasaheb Phatangare, Krishnat Masalkar, Subhash Kendre
Piecewise linear differential systems separated by two parallel straight lines of the type of center-center-Hamiltonian saddle and the center-Hamiltonian saddle-Hamiltonian saddle…