The nonlinear fractional Boussinesq equations are known as the differential equation class that has an important place in mathematical physics. In this study, a method called $$\Big (\frac{G'}{G^2}\Big )$$ -extension which works well and reveals exact solutions is used to examine with conformable time-fractional derivative. This very useful approach extremely utility compared other analytical m...

In this paper, we investigate the existence of solutions for boundary value problems nonlinear impulsive conformable fractional differential equations with delay. By establishing associate Green's function and a comparison result linear problem, obtain that lower upper converge to extremal via monotone iterative technique. An example is also presented in last section.

In this paper, we introduce the non-conformable double Laplace transform. Its properties are studied, and it is applied to solve some fractional PDEs involving nonconformable derivative. Graphical representations of obtained solutions shown in figures. The study shows that transform effective easy apply create an exact solution for types PDEs.

this paper, it is discussed over the method of reduced differential transform with help conformable derivative time fractional equation. This applied to equation K(m,n), which a member Korteweg-de Vries equations. For these solutions, certain values have been obtained depending on ?? parameter and are shown table graph. It that used here effective easy apply.

Under consideration of this paper is the application Jordan canonical form and symplectic matrix to two conformable fractional differential models. One new vector conduction equation which reduced by using coefficient solved exactly, other dynamical system with Hamilton matrix, derived constructing Euler-Lagrange variational principle. It shown that can be used deal some systems in mathematical...

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, the controllability of differential systems with general conformable derivative is studied. By elaborating rank criterion and Gram criterion, sufficient necessary conditions to investigate that a linear system null completely controllable are given. We obtain full generalization fractional-order case. addition, Krasnoselskii’s fixed point theorem complete result for semilinear ap...