New properties of conformable derivative

Abstract

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.

New bounds for the Ostrowski-type inequalities via conformable fractional calculus

“…Thus, a number of new definitions have been introduced to provide the best method for fractional calculus. For instance, recently, a new local limitbased definition of a conformable derivative has been introduced in [1,10], with several follow-up papers [3][4][5][6][7]9,11,[15][16][17][18][19][20].…”

Generalized Maxwell Relations in Thermodynamics with Metric Derivatives

“…In order to build up the Maxwell relations with the conformable derivatives, we expand a given function f with an equivalent form of Taylor expansion using integer polynomials to the first order [38], instead of noninteger [39] order polynomial. This merely reflects the fact that the space of concerned functions is considered differentiable.…”

A conformable calculus of radial basis functions and its applications

“…Recently, a new local, limit-based definition of a so-called conformable derivative has been formulated in [5,6], with several follow-up papers [1,2,[7][8][9][10][11][12][13][14][15][16]. This new idea was quickly generalized by Katugampola [17,18].…”