In this work, the objective is to get exact analytical solution of a generalized Casson fluid model with heat generation and chemical reaction described by Caputo fractional operator, using approach that Laplace transform method includes derivative. After solution, it will be studied impact order derivative most essential parameters included in modeling like Prandtl number, thermal Grashof mass...

Journal of Applied Mathematics and Computational Mechanics, Prace Naukowe Instytutu Matematyki i Informatyki, Politechnika Częstochowska, Scientific Research the Institute Computer Science, Czestochowa University Technology

In 1985, Andrew Casson defined an invariant À(M) of an oriented integral homology 3-sphere M [C, AM]. This invariant can be thought of as counting the number of conjugacy classes of nontrivial representations nx (M) —• SU(2), in the sense that the Lefschetz number of a map counts the number of fixed points. Casson proved the following three properties of A. (i) If nx(M) = 1, then A(M) = 0. (ii)...