Some New Results on the New Conformable Fractional Calculus with Application Using D’Alambert Approach

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].…”

Conformable Euler's theorem on homogeneous functions

“…Moreover, the conformable partial derivative of the order α ∈ of the real value of several variables and conformable gradient vector are defined; and a conformable version of Clairaut's theorem for partial derivatives of conformable fractional orders is proved . In short time, many studies about theory and application of the fractional differential equations are based on this new fractional derivative definition.…”

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].…”