28 citations · 58 across the 3 of their papers we have counts for
3 papers
math.CA2017★ 12 cited
Lyapunov inequality for a boundary value problem involving conformable derivative
Rabah Khaldi, Guezane-Lakoud Assia
We consider a boundary value problem involving conformable derivative of order and Dirichlet conditions. To prove the existence of solutions, we apply the method of up…
math.CA2017★ 18 cited
Lyapunov-type inequality for a fractional boundary value problem with natural conditions
Assia Guezane-Lakoud, Rabah Khaldi, Delfim F. M. Torres
We derive a new Lyapunov type inequality for a boundary value problem involving both left Riemann--Liouville and right Caputo fractional derivatives in presence of natural conditio…
math.CA2017★ 28 cited
On a Fractional Oscillator Equation with Natural Boundary Conditions
Assia Guezane-Lakoud, Rabah Khaldi, Delfim F. M. Torres
We prove existence of solutions for a nonlinear fractional oscillator equation with both left Riemann-Liouville and right Caputo fractional derivatives subject to natural boundary…