Fractional Newton mechanics with conformable fractional derivative

Abstract

a b s t r a c tIn this paper we use the conformable fractional derivative and integral to discuss the fractional Newtonian mechanics. The fractional version of the calculus of variations is introduced and the fractional Euler-Lagrange equation is constructed. Some mechanical problems such as fractional harmonic oscillator problem, the fractional damped oscillator problem and the forced oscillator problem are discussed in the one-dimensional fractional dynamics.

Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals

“…Recently, the conformable integrals and derivatives have attracted the attention of many researchers, and many remarkable properties and inequalities for the conformable integrals and derivatives can be found in the literature [17][18][19][20][21][22][23][24]. Anderson [14] found the conformable integral version of the Hermite-Hadamard inequality as follows.…”

Functional Variable Method for conformable fractional modified KdV-ZK equation and Maccari system

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