This paper establishes an identity for the case of differentiable $s-$convex functions with respect to conformable fractional integrals. By using this identity, sundry trapezoid-type inequalities are proven by help Several important acquired taking advantage convexity, Hölder inequality, and power mean inequality. Moreover, example graph is given in order show that our main results correct. spe...

This paper provides novel generalizations by considering the generalized conformable fractional integrals for reverse Copson’s type inequalities on time scales. The main results will be proved using a general algebraic inequality, chain rule, Hölder’s and integration parts Our investigations unify extend some continuous their corresponding discrete analogues. In addition, when α = 1, we obtain ...

In many research works Bouaouid et al. have proved the existence of mild solutions an abstract class nonlocal conformable fractional Cauchy problem form: d α x t / = A + f , 0...

We consider a conformable fractional Sturm-Liouville problem with the discontinuous(or jump) condition inside interval. The asymptotic formulas for eigenvalues, nodal parameters (nodal points and lengths) of this are calculated by modified Pr?fer substitutions. Also, using these formulas, an explicit formula potential functions is given. After all, we discuss Lipschitz stability considered prob...