In this paper, we characterize intra-regular LA-semihypergroups by using the properties of their left and right hyperideals and we investigate some useful conditions for an LA-semihypergroup to become an intra-regular LA-semihypergroup.2000 Mathematics Subject Classification. 20M10, 20N20.

We have introduced and characterized a fully regular (V-regular) class of an ordered AG-groupoid in terms of fuzzy (left, right, two-sided, interior, bi-, generalized bi-and quasi) ideals. We have shown that all these fuzzy ideals need not to be coincide in an ordered AG-groupoid S even if S has a left identity but on the other hand, it has been shown that all these fuzzy ideals coincide in a V-regular ordered AG-groupoid with a left identity.

We introduced ð2 c ; 2 c _q d Þ-fuzzy (left, right, bi-) ideals of an ordered Abel Grassman's groupoids (AGgroupoid) and characterized intra-regular ordered AGgroupoids in terms of these generalized fuzzy ideals.

In this work, we consider giving up smoking dynamic on adolescent nicotine dependence. First, we use the Caputo derivative to develop the model in fractional order. Then we apply two different numerical methods to compute accurate approximate solutions of this new model in fractional order and compare their results. In order to do this, we consider the generalized Euler method (GEM) and multi-step generalized differential transform method (MSGDTM). We also show the unique positive solution for this model and present numerical results graphically.

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Exact solutions of the momentum equations of couple stress fluid are investigated. Making use of stream function, the two-dimensional flow equations are transformed into non-linear compatibility equation, and then it is linearized by vorticity function. Stream functions and velocity distributions are discussed for various flow situations.

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