Our aim is to construct distinct types of novel traveling wave solutions for the nonlinear conformable time-fractional coupled Konno–Oono equation in a magnetic field utilizing qualitative analysis dynamical system that corresponds Hamiltonian system. The influences fractional-order derivative on addition parameters waveform are investigated. Furthermore, He’s variational technique has been app...

In this paper, we derive some new fractional extensions of Hardy’s type inequalities. The corresponding reverse relations are also obtained by using the conformable calculus from which classical integral inequalities deduced as special cases at ?=1.

In this paper, we study the diffusion equation with conformable derivative. The main goal is to prove convergence of mild solution our problem when order fractional Laplacian tends $1^-$. principal techniques paper based on some useful evaluations for exponential kernels.

UDC 517.9 We develop a new deformation and generalization of the natural integral transform based on conformable fractional q -derivative. obtain transformation some deformed functions apply to solve linear differential equation with given initial conditions.