Solution Of Differential Calculus By Das And Mukherjee Pdf [BEST] Download
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Solution Of Differential Calculus By Das And Mukherjee Pdf Download
In mathematics, the distributions have been proposed in order to generalize the central limit theorem [1113]. The usual distributions such as the Gaussian, Cauchy, Laplace, Exponential, and Logistic distributions in the central limit theorem are specified through fractional calculus. They are a type of non-classical distributions between classical continuous distributions [14]. Applications include fractal and nonlocal dynamics [15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26] and in complex systems [27].
In the present work, the wave propagation in the Cantor-type fractal geometry has been considered. The solution of the Cantor-type fractal geometry to the wave equation is presented in an exact way. The solution of the initial value problem to the Cantor-type fractal geometry is also presented. The solution of the nonlinear wave equations in the Cantor-type fractal geometry are presented in the form of the wave packets. The new solution of the local and nonlocal fractional Laplace equations arising in electrostatics in fractal domains is presented. The new fractional solution to the conventional Laplace equation in Euclidean space is also presented. The local and nonlocal fractional Poisson equation is solved.
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