Matematik Bölümü
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Browsing Matematik Bölümü by Journal "Acta Physica Polonica B"
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Article Analysis of the new technique to solution of fractional wave- and heat-like equation(2017) Baleanu, Dumitru; Agheli, Bahram; Darzi, Rahmat; 56389We have applied the new approach of homotopic perturbation method (NHPM) for wave- and heat-like equation featuring time-fractional derivative. A combination of NHPM and multiple fractional power series form has been used the first time to present analytical solution. In order to illustrate the simplicity and ability of the suggested approach, some specific and clear examples have been given. All computations were done using Mathematica.Article Analysis of the new technique to solution of fractional wave- and heat-like equation(Jagiellonian Univ Press, 2017) Baleanu, Dumitru; Agheli, Bahram; Darzi, Rahmat; 56389We have applied the new approach of homotopic perturbation method (NHPM) for wave- and heat-like equation featuring time-fractional derivative. A combination of NHPM and multiple fractional power series form has been used the first time to present analytical solution. In order to illustrate the simplicity and ability of the suggested approach, some specific and clear examples have been given. All computations were done using Mathematica.Article Solutions of massless conformal scalar field in an n-dimensional Einstein space(Jagiellonian Univ Press, 2008) Baleanu, Dumitru; Baleanu, Dumitru; Rabei, Eqab M.; 56389In this paper the wave equation for massless conformal scalar field in an Einstein's n-dimensional universe is solved and the eigen frequencies are obtained. The special case for alpha = 4 is recovered and the results are in exact agreement with those obtained in literature.
