On Integrability of Semi-invariant Submanifolds of Trans-Sasakian Finsler Manifolds

We introduce the notion of trans-Sasakian Finsler manifold, then study semi-invariant submanifold F^m = (Y, Y\u27, F) of a trans-Sasakian Finsler manifold F^{2n+1} + (bar-Y, bar-Y\u27, bar-F) and we discuss the integrability conditions of the distrubitions of the semi-invariant submanifolds of the trans-Sasakian Finsler manifold