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On fractional vectorial calculus

Ortigueira M. D., Machado J. T. M.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2018

Vol. 66, nr 4

389--402

This paper reviews the fractional vectorial differential operators proposed previously and introduces the fractional versions of the classic Green’s, Stokes’, and Ostrogradski-Gauss’s integral theorems. The suitability of fractional derivatives for sciences and the Laplacian definition are also discussed.

On semi-invariant submanifolds of a nearly Sasakian manifold admitting a semi-symmetric non-metric connection

Das L., Ahmad M., Haseeb A.

Journal of Applied Analysis

2011

Vol. 17, nr 1

119-130

We define a semi-symmetric non-metric connection in a nearly Sasakian manifold and we consider semi-invariant submanifolds of a nearly Sasakian manifold endowed with a semi-symmetric non-metric connection. Moreover, we also obtain integrability conditions of the distributions on semi-invariant submanifolds.