On the derivative of type α

F. M. Filipczak

Displaying similar documents to “On the derivative of type α”

New properties of conformable derivative

Abdon Atangana, Dumitru Baleanu, Ahmed Alsaedi (2015)

Open Mathematics

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Recently, the conformable derivative and its properties have been introduced. In this work we have investigated in more detail some new properties of this derivative and we have proved some useful related theorems. Also, some new definitions have been introduced.

An example of a continuous function without the usual, the approximative and the distributional derivative

Zdzisław Denkowski (1980)

Annales Polonici Mathematici

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Rates of change and derivatives

Karl Menger (1958)

Fundamenta Mathematicae

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On generalized Peano and Peano derivatives

H. Fejzić (1993)

Fundamenta Mathematicae

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A function F is said to have a generalized Peano derivative at x if F is continuous in a neighborhood of x and if there exists a positive integer q such that a qth primitive of F in the neighborhood has the (q+n)th Peano derivative at x; in this case the latter is called the generalized nth Peano derivative of F at x and denoted by $F_{[n]} (x)$ . We show that generalized Peano derivatives belong to the class [Δ’]. Also we show that they are path derivatives with a nonporous system of paths satisfying...