The derivative notion revised: The fractional case

In this paper the historical origins of fractional calculus are explored with respect to non-conformable derivatives. Implications are made for the teaching and learning of calculus and for mathematics education

On the Oscillatory Behaviour of Some Second Order Nonlinear Systems

In that paper, we obtain some results on the nonoscillatory behaviour of system (1), which contains as particular cases, some well known systems. By negation, oscillation criterior are derived for that systems. Some well known oscillation criteria are obtained as particular cases

A Note on the Asymptotic Stability

In this paper, we study the influence of the perturbing term in equation x’=f(t,x)+g(t,x), on the asymptotically behaviour of x’=f(t,x)

On the generalized inequalities of the hermite - hadamard type

In this paper, we establish new Hermite-Hadamard inequalities for h-convex functions, with in the framework of a previously defined generalized integral. The results obtained, generalize or complete, several reported in the literature. Some final remarks show the strength and scope of our results

On the Oscillatory Nature of Some Generalized Emden-Fowler Equation

 In this paper, we study the oscillatory character of a generalized differential equation of order α + α with α ∈ (0, 1]. Generalized criteria of Kamenev type are obtained, which are extensions of several known in the literature both integer and fractiona

On the Oscillatory Behavior of Some Qeneralized Differential Equation

In this article, using the Riccati-type transformation, we studythe oscillatory nature of the solutions of the generalized differential equationand give some criteria of the Kamenev type that generalizes severalwell-known results on the topic