‎ in this paper, we investigate stability analysis of fractional differential systems equipped with the conformable fractional derivatives. some stability conditions of fractional differential systems are proposed by applying the fractional exponential function and the fractional laplace transform. moreover, we check the stability of conformable fractional lotka-volterra system with the multi-st...

The motivation for this paper comes from other papers treating the fractional derivatives. We introducea new definition of derivative which obeys classical properties including linearity, product rule, quotient rule, power chain Rolle’s theorem, mean value theorem and Taylor series. Usage thedefined is given in example section shows how our can be used solving differential equations. ...

In this paper we present an extension of Fractional Laplace Transform in the framework non-conformable local fractional derivative. Its main properties are studied and it is applied to resolution differential equations.

In this study, a new identity involving conformable fractional integrals is given. Then, by using this identity, some new Hermite-Hadamard type inequalities for conformable fractional integrals have been developed.

The general fractional conformable derivative (GCD) and its attributes have been described by researchers in the recent times. Compared with other definitions, this presents a generalization of follows same derivation formulae. For electrical circuits, such as RLC, RC, LC, we obtain new class fractional-order differential equations using novel derivative, use GCD to depict circuits has shown be...