We are motivated to work on this topic by some research papers dealing with fractional derivatives. Using the notion of Conformable Fractional Derivative provided in R. Khalil, M. Al Horani, A. Yousef, and Sababheh [5], we prove certain relevant features Gradient, Divergence, Curl study.

This article compares conformable fractional Derivative with Riemann-Liouville and Caputo derivative by comparing solutions to ordinary differential equations involving the three derivatives via numerical simulations of solutions. The result shows that can be used as an alternative for order α 1/2<α<1.

In this paper, a modified nonlinear Schrödinger equation with spatiotemporal dispersion is formulated in the senses of Caputo fractional derivative and conformable derivative. A new generalized double Laplace transform coupled Adomian decomposition method has been defined applied to solve newly dispersion. The approximate analytical solutions are obtained compared each other graphically.

Integral inequalities are very important in applied sciences. Chebyshev's integral inequality is widely used mathematics. First of all, some necessary definitions and results regarding conformable derivative given this article. Then we give Chebyshev for simultaneously positive (or negative) functions using the fractional derivative. We Gronwall to prove our results, unlike other studies litera...

in this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the lipschitz type condition. moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.

In this work, we consider the stochastic fractional-space Kuramoto–Sivashinsky equation using conformable derivative. The Riccati method is used to get analytical solutions space-fractional equation. Because has never been examined with and multiplicative noise at same time, generalize some previous results. Moreover, display how influences on stability of obtained

The paper is devoted to the theoretical and experimental analysis of an electric circuit consisting two elements that are described by fractional derivatives different orders. These designed performed as RC ladders with properly selected values resistances capacitances. Different orders differentiation lead state-space system model, in which each state variable has a order derivative. Solutions...

This article presents a rigorous review of the conformable fractional derivative given by J. E. Napoles in [11], studying its classical properties, as differential operator. Likewise, applications are to Physics, specifically free fall bodies and Newton’s law cooling.

The objective of this article is to develop some results on conformable fractional derivatives, specifically the one known as Khalil's derivative. Its origin, properties, comparisons with other derivatives and applications population grow Newton law cooling models are studied.