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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…
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…
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…
Bifurcations of limit cycles in piecewise smooth Hamiltonian system with boundary perturbation
Nanasaheb Phatangare, Krishnat Masalkar, Subhash Kendre
In this paper, the general planar piecewise smooth Hamiltonian system with period annulus around the center at the origin is considered. We obtain the expressions for the first ord…